仿照加入其他控制器

This commit is contained in:
swayneleong 2025-05-27 20:35:27 +08:00
parent b96c979023
commit b172aef382
14 changed files with 2110 additions and 0 deletions

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import sys
import numpy as np
from scipy.spatial.transform import Rotation as R
from .arm_state import ArmState
from .base_controller import BaseController
from pathlib import Path
sys.path.append(str(Path(__file__).resolve().parent.parent))
from tools.yaml_operator import read_yaml
import time
class AdmitHybridController(BaseController):
def __init__(self, name, state: ArmState,config_path) -> None:
super().__init__(name, state)
self.load_config(config_path)
self.laset_print_time = 0
def load_config(self, config_path):
config_dict = read_yaml(config_path)
if self.name != config_dict['name']:
raise ValueError(f"Controller name {self.name} does not match config name {config_dict['name']}")
desired_xi = np.array(config_dict['desired_xi'])
damp_tran = np.array(config_dict['damp_tran'])
# TODO 修改控制率
self.e_t = 0
self.e_t1 = 0
self.e_t2 = 0
self.force_control_value = 0
# 姿态 3x3矩阵
self.Kp = np.diag(np.array(config_dict['Kp']))
self.Ki = np.diag(np.array(config_dict['Ki']))
self.Kd = np.diag(np.array(config_dict['Kd']))
self.pose_integral_error = np.zeros(6)
# 导纳xyz位置调节器
mass_tran = np.array(config_dict['mass_tran'])
stiff_tran = np.array(config_dict['stiff_tran'])
damp_tran = np.array(config_dict['damp_tran'])
for i in range(3):
if damp_tran[i] < 0:
damp_tran[i] = 2 * desired_xi * np.sqrt(stiff_tran[i] * mass_tran[i])
self.M_tran = np.diag(mass_tran)
self.M_tran_inv = np.linalg.inv(self.M_tran)
self.K_tran = np.diag(stiff_tran)
self.D_tran = np.diag(damp_tran)
def step(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
rot_err_quat = arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
self.pose_integral_error += self.state.pose_error * dt
# 姿态pid
self.state.arm_desired_acc[3:] = -self.Kd @ self.state.arm_desired_twist[3:] - self.Kp @ self.state.pose_error[3:] - self.Ki @ self.pose_integral_error[3:]
# 位置导纳控制
self.state.arm_desired_acc[:3] = self.M_tran_inv @ (wrench_err[:3] - self.D_tran @ (self.state.arm_desired_twist[:3] - self.state.desired_twist[:3])-self.K_tran @ self.state.pose_error[:3])
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]
def step_traj(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position + self.state.desired_twist[:3] * dt
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
angular_velocity = np.array(self.state.desired_twist[3:]) # 形状 (3,)
# 用旋转向量(小角度近似)
rotvec = angular_velocity * dt # 旋转向量 = 角速度 × 时间
rot_quat = R.from_rotvec(rotvec).as_quat() # 转成四元数,形状 (4,)
rot_err_quat = R.from_quat(rot_quat).inv() * arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
self.pose_integral_error += self.state.pose_error * dt
# 姿态pid
self.state.arm_desired_acc[3:] = -self.Kd @ self.state.arm_desired_twist[3:] - self.Kp @ self.state.pose_error[3:] - self.Ki @ self.pose_integral_error[3:]
# 位置导纳控制
self.state.arm_desired_acc[:3] = self.M_tran_inv @ (wrench_err[:3] - self.D_tran @ (self.state.arm_desired_twist[:3] - self.state.desired_twist[:3] + self.state.desired_acc[:3]*dt)-self.K_tran @ self.state.pose_error[:3]) + self.state.desired_acc[:3]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]

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import sys
import numpy as np
from scipy.spatial.transform import Rotation as R
from .base_controller import BaseController
from .arm_state import ArmState
from pathlib import Path
sys.path.append(str(Path(__file__).resolve().parent.parent))
import time
from tools.yaml_operator import read_yaml
class AdmittanceZController(BaseController):
def __init__(self, name, state:ArmState,config_path) -> None:
super().__init__(name, state)
self.load_config(config_path)
def load_config(self, config_path):
config_dict = read_yaml(config_path)
if self.name != config_dict['name']:
raise ValueError(f"Controller name {self.name} does not match config name {config_dict['name']}")
mass_tran = np.array(config_dict['mass_tran'])
mass_rot = np.array(config_dict['mass_rot'])
stiff_tran = np.array(config_dict['stiff_tran'])
stiff_rot = np.array(config_dict['stiff_rot'])
desired_xi = np.array(config_dict['desired_xi'])
damp_tran = np.array(config_dict['damp_tran'])
damp_rot = np.array(config_dict['damp_rot'])
self.pos_scale_factor = config_dict['pos_scale_factor']
self.rot_scale_factor = config_dict['rot_scale_factor']
for i in range(2):
if damp_tran[i] < 0:
damp_tran[i] = 2 * desired_xi * np.sqrt(stiff_tran[i] * mass_tran[i])
if damp_rot[i] < 0:
damp_rot[i] = 2 * desired_xi * np.sqrt(stiff_rot[i] * mass_rot[i])
if damp_rot[2] < 0:
damp_rot[2] = 2 * desired_xi * np.sqrt(stiff_rot[i] * mass_rot[i])
self.M_trans = np.diag(mass_tran[:2])
self.M_rot = np.diag(mass_rot)
self.M_z = mass_tran[2]
self.M = np.diag(np.concatenate([mass_tran, mass_rot]))
self.M_trans_inv = np.linalg.inv(self.M_trans)
self.M_rot_inv = np.linalg.inv(self.M_rot)
self.K_trans = np.diag(stiff_tran[:2])
self.K_rot = np.diag(stiff_rot)
self.K_z = stiff_tran[2]
self.K_trans_inv = np.linalg.inv(self.K_trans)
self.K_rot_inv = np.linalg.inv(self.K_rot)
self.D_trans = np.diag(damp_tran[:2])
self.D_rot = np.diag(damp_rot)
self.D_z = damp_tran[2]
self.laset_print_time = 0
self.pose_integral_error = np.zeros(6)
def step(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
rot_err_quat = arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
self.state.arm_desired_acc[:2] = self.M_trans_inv @ (wrench_err[:2] - self.D_trans @ (self.state.arm_desired_twist[:2] -self.state.desired_twist[:2]) - self.K_trans @ self.state.pose_error[:2])
self.state.arm_desired_acc[2] = 1/self.M_z * (wrench_err[2] - self.D_z * (self.state.arm_desired_twist[2] -self.state.desired_twist[2]) - self.K_z * self.state.pose_error[2])
self.state.arm_desired_acc[3:] = self.M_rot_inv @ (wrench_err[3:] - self.D_rot @ (self.state.arm_desired_twist[3:] -self.state.desired_twist[3:]) - self.K_rot @ self.state.pose_error[3:])
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]
def step_traj(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position + self.state.desired_twist[:3] * dt
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
angular_velocity = np.array(self.state.desired_twist[3:]) # 形状 (3,)
# 用旋转向量(小角度近似)
rotvec = angular_velocity * dt # 旋转向量 = 角速度 × 时间
rot_quat = R.from_rotvec(rotvec).as_quat() # 转成四元数,形状 (4,)
rot_err_quat = R.from_quat(rot_quat).inv() * arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
self.state.arm_desired_acc[:2] = self.M_trans_inv @ (wrench_err[:2] - self.D_trans @ (self.state.arm_desired_twist[:2] -self.state.desired_twist[:2] + self.state.desired_acc[:2]*dt) - self.K_trans @ self.state.pose_error[:2]) + self.state.desired_acc[:2]
self.state.arm_desired_acc[2] = 1/self.M_z * (wrench_err[2] - self.D_z * (self.state.arm_desired_twist[2] -self.state.desired_twist[2] + self.state.desired_acc[2]*dt) - self.K_z * self.state.pose_error[2]) + self.state.desired_acc[2]
self.state.arm_desired_acc[3:] = self.M_rot_inv @ (wrench_err[3:] - self.D_rot @ (self.state.arm_desired_twist[3:] -self.state.desired_twist[3:] + self.state.desired_acc[3:]*dt) - self.K_rot @ self.state.pose_error[3:]) + self.state.desired_acc[3:]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]
if __name__ == "__main__":
state = ArmState()
controller = AdmittanceZController("admittance",state,"/home/zyc/admittance_control/MassageControl/config/admittance.yaml")
print(controller.name)
print(controller.state.arm_position)
state.arm_position = np.array([1,2,3])
print(controller.state.arm_position)
print(controller.M)
print(controller.D)
print(controller.K)

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import numpy as np
import matplotlib.pyplot as plt
import copy
class ForcePlanner:
def __init__(self):
self.force_vel_max = np.float64(20) # [0,0, 10, 0, 0, 0] # 10 N/s
self.force_acc_max = np.float64(10) #[0,0, 20, 0, 0, 0] # 20 N/s²
self.force_jerk_max = 90 #[0,0, 30, 0, 0, 0] # 30 N/s³
self.Ta = self.force_vel_max / self.force_acc_max
def linear_wrench_interpolate(self,wrench=None, time_points=None, time_step=0.1):
if wrench is None:
raise ValueError("至少需要输入力矩的序列")
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
# 由于浮点数精度问题time_step要乘0.9
times = np.arange(time_points[0], time_points[-1] + time_step * 0.9, time_step)
if wrench is not None:
all_wrenchs = np.zeros((len(times), wrench.shape[1]))
current_idx = 0
start_wrench = np.array([0, 0, 0, 0, 0, 0])
end_wrench = wrench
for i in range(len(times)):
# 计算 phase
phase = i / len(times) # 使用 i 计算
# 计算 segment_wrenchs
segment_wrenchs = start_wrench + phase * (end_wrench - start_wrench)
# 将 segment_wrenchs 填充到 all_wrenchs
all_wrenchs[current_idx:current_idx + len(segment_wrenchs)] = segment_wrenchs
current_idx += len(segment_wrenchs)
# 确保最后一个位置被处理
if current_idx < len(times):
all_wrenchs[current_idx:] = wrench
all_wrenchs = np.clip(all_wrenchs, np.array([0, 0, -50, 0, 0, 0]), np.array([0, 0, 0, 0, 0, 0]))
if wrench is not None:
return np.array(all_wrenchs)
def oscillation_wrench_interpolate(self,wrench=None, time_points=None, time_step=0.1):
if wrench is None:
raise ValueError("至少需要输入力矩的序列")
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
# 由于浮点数精度问题time_step要乘0.9
times = np.arange(time_points[0], time_points[-1] + time_step * 0.9, time_step)
if wrench is not None:
all_wrenchs = np.zeros((len(times), wrench.shape[1]))
current_idx = 0
up_wrench = np.array([0, 0, 0, 0, 0, 0])
down_wrench = np.array([0, 0, 0, 0, 0, 0])
up_wrench[2] = wrench[0][2] + 15 if wrench[0][2] + 15 < 0 else 0
down_wrench[2] = wrench[0][2] - 15 if wrench[0][2] - 15 > -50 else -50
for i in range(len(times)):
# 计算 phase
phase = np.sin(20 * np.pi * i / len(times)) # 使用 i 计算
phase = 1 if phase >= 0 else -1
# 计算 amplitude
# amplitude = np.array([0, 0, -50, 0, 0, 0]) if phase < 0 else np.array([0, 0, 0, 0, 0, 0])
amplitude = down_wrench if phase < 0 else up_wrench
# 计算 segment_wrenchs
segment_wrenchs = wrench + phase * (amplitude - wrench)
# 将 segment_wrenchs 填充到 all_wrenchs
all_wrenchs[current_idx:current_idx + len(segment_wrenchs)] = segment_wrenchs
current_idx += len(segment_wrenchs)
# 确保最后一个位置被处理
if current_idx < len(times):
all_wrenchs[current_idx:] = wrench
all_wrenchs = np.clip(all_wrenchs, np.array([0, 0, -70, 0, 0, 0]), np.array([0, 0, 0, 0, 0, 0]))
if wrench is not None:
return np.array(all_wrenchs)
def S_shaped_wrench_interpolate(self,start=None, wrench=None, time_points=None, time_step=0.1):
if wrench is None:
raise ValueError("At least a wrench sequence must be provided.")
if time_points is None or len(time_points) < 2:
raise ValueError("At least two time points are required.")
if start is None:
raise ValueError("At least a start wrench must be provided.")
Tave = time_points[-1] / len(wrench)
print("Tave:",Tave)
start_wrench = copy.deepcopy(np.array(start))
print("start_wrench:",start_wrench)
# Time points array creation
times = np.arange(time_points[0], time_points[-1] + time_step * 0.9, time_step)
# wrench = [wrench]
wrench = np.array(wrench)
force_vel = 0
num = 0
all_wrenchs = np.zeros((len(times), 6)) # Use wrench.shape[0] to get the number of components
# 时间点的插值计算
for count in range(len(times)):
# 计算当前阶段的进度
phase = count / len(times)
plant = phase * times[-1]
# print("plant:",plant)
if plant >= num * Tave:
# print("plant:",plant,num,Tave)
if wrench[num][2] != 0:
# Convert wrench to numpy array if it's a list
coeff = 1
end_wrench = copy.deepcopy(wrench[num]) # No need to convert again since wrench is now a numpy array
print("end_wrench:",end_wrench,num)
num += 1
if np.abs(end_wrench[2]-start_wrench[2]) > self.force_vel_max*self.Ta:
Ta = np.floor(self.Ta /time_step) * time_step
self.force_vel = Ta * self.force_acc_max
Tj = (np.abs(end_wrench[2]-start_wrench[2])-self.force_vel*Ta)/self.force_vel
coeff = np.abs(end_wrench[2] - start_wrench[2]) / (np.floor((Ta + Tj)/time_step)*time_step * self.force_vel)
else:
Ta = np.floor(np.sqrt(np.abs(end_wrench[2]-start_wrench[2])/self.force_acc_max)/time_step)*time_step
Tj = 0
coeff = np.abs(end_wrench[2] - start_wrench[2]) / ((self.force_acc_max*time_step) * (np.floor(Ta/time_step)*np.floor(Ta/time_step))*time_step)
if Tave < 2*Ta + Tj:
Ta = np.floor(Tave/time_step/2)*time_step
Tj = 0
coeff = np.abs(end_wrench[2] - start_wrench[2]) / ((self.force_acc_max*time_step) * (np.floor(Ta/time_step)*np.floor(Ta/time_step))*time_step)
if np.abs(end_wrench[2]-start_wrench[2]) < 0.1:
coeff = 1
start_wrench = np.array(start_wrench).astype(float) # Ensure it's an array
last_wrench = copy.deepcopy(start_wrench[2])
force_vel = 0
plant = 0
segment_wrenchs = copy.deepcopy(start_wrench)
dir = (end_wrench[2]-start_wrench[2])/np.abs(end_wrench[2]-start_wrench[2])
t_start = copy.deepcopy(start_wrench)
else:
coeff = 1
end_wrench = copy.deepcopy(wrench[num])
num += 1
segment_wrenchs = copy.deepcopy(start_wrench)
if Tave > 2:
Ta = 1
else:
Ta = np.floor(Tave*10/2)/10
Tj = 0
force_vel = 0
plant = 0
coeff = np.abs(end_wrench[2] - start_wrench[2]) / ((self.force_acc_max*time_step) * (np.floor(Ta/time_step)*np.floor(Ta/time_step))*time_step)
dir = (end_wrench[2]-start_wrench[2])/np.abs(end_wrench[2]-start_wrench[2])
last_wrench = copy.deepcopy(start_wrench[2])
force_vel = 0
t_start = copy.deepcopy(start_wrench)
# print("all_wrenchs:", all_wrenchs.shape)
plant = phase * times[-1] - (num-1) * Tave
if end_wrench[2] != 0:
if plant == 0:
segment_wrenchs = copy.deepcopy(start_wrench)
elif 0 < plant <= Ta:
# 加速阶段
force_vel += self.force_acc_max * time_step
if force_vel > self.force_vel_max:
force_vel = copy.deepcopy(self.force_vel_max)
last_wrench += dir * force_vel * time_step
segment_wrenchs[2] = last_wrench
elif Ta < plant <= Ta + Tj:
# 恒速阶段
last_wrench += dir * force_vel * time_step
segment_wrenchs[2] = last_wrench
elif Ta + Tj < plant <= 2 * Ta + Tj:
# 减速阶段
force_vel -= self.force_acc_max * time_step
if force_vel < 0:
force_vel = 0
last_wrench += dir * force_vel * time_step
segment_wrenchs[2] = last_wrench
else:
# 超过所有阶段后,使用结束力矩
segment_wrenchs = segment_wrenchs
all_wrenchs[count] = copy.deepcopy(segment_wrenchs)
all_wrenchs[count][2] = (all_wrenchs[count][2] - t_start[2]) * coeff + t_start[2]
start_wrench = copy.deepcopy(all_wrenchs[count])
else:
if plant-(Tave-Tj-2*Ta) == 0:
segment_wrenchs = copy.deepcopy(start_wrench)
elif 0 < plant-(Tave-Tj-2*Ta) <= Ta:
# 加速阶段
force_vel += self.force_acc_max * time_step
if force_vel > self.force_vel_max:
force_vel = copy.deepcopy(self.force_vel_max)
last_wrench += dir * force_vel * time_step
segment_wrenchs[2] = last_wrench
elif Ta < plant-(Tave-Tj-2*Ta) <= Ta + Tj:
# 恒速阶段
last_wrench += dir * force_vel * time_step
segment_wrenchs[2] = last_wrench
elif Ta + Tj < plant-(Tave-Tj-2*Ta) <= 2 * Ta + Tj:
# 减速阶段
force_vel -= self.force_acc_max * time_step
if force_vel < 0:
force_vel = 0
last_wrench += dir * force_vel * time_step
segment_wrenchs[2] = last_wrench
else:
# 超过所有阶段后,使用结束力矩
segment_wrenchs = segment_wrenchs
all_wrenchs[count] = copy.deepcopy(segment_wrenchs)
all_wrenchs[count][2] = (all_wrenchs[count][2] - t_start[2]) * coeff + t_start[2]
start_wrench = copy.deepcopy(all_wrenchs[count])
all_wrenchs = np.clip(all_wrenchs, np.array([0, 0, -70, 0, 0, 0]), np.array([0, 0, 0, 0, 0, 0]))
return all_wrenchs
FP = ForcePlanner()
# Example input for testing
start_wrench = [0, 0, 0, 0, 0, 0] # Starting wrench
#end_wrench = [0, 0, 47, 0, 0, 0]
# end_wrench = [[0, 0, -29, 0, 0, 0]] # Ending wrench
end_wrench = [[0, 0, -20, 0, 0, 0], [0, 0, -5, 0, 0, 0], [0, 0, -35, 0, 0, 0],[0, 0, -60, 0, 0, 0], [0, 0, 0, 0, 0, 0]] # Ending wrench
time_points = [0, 1] # From time 0 to 1
#time_points = None
time_step = 0.1 # 0.1 second steps
# Call the function with example values
result = FP.S_shaped_wrench_interpolate(start=start_wrench, wrench=end_wrench, time_points=time_points, time_step=0.0083333)
# z_values = result[:, 2]
# # for t, z in zip(times, z_values):
# # print(f"time = {t:.4f} s,\tZ = {z:.4f}")
# plt.figure(figsize=(6, 4))
# plt.plot(times, z_values, label='Z (third component)')
# plt.xlabel('Time (s)')
# plt.ylabel('Force Z')
# plt.title('S-shaped 插值 —— 第三分量 (Z)')
# plt.grid(True)
# plt.legend()
# plt.tight_layout()
# plt.show()

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import sys
import numpy as np
from scipy.spatial.transform import Rotation as R
from .arm_state import ArmState
from .base_controller import BaseController
from pathlib import Path
sys.path.append(str(Path(__file__).resolve().parent.parent))
from tools.yaml_operator import read_yaml
import time
class HybridAdmitController(BaseController):
def __init__(self, name, state: ArmState,config_path) -> None:
super().__init__(name, state)
self.load_config(config_path)
self.laset_print_time = 0
def load_config(self, config_path):
config_dict = read_yaml(config_path)
if self.name != config_dict['name']:
raise ValueError(f"Controller name {self.name} does not match config name {config_dict['name']}")
# 姿态调节器
# 位控 2x2矩阵
self.Kp_R = np.diag(np.array(config_dict['Kp_R']))
self.Ki_R = np.diag(np.array(config_dict['Ki_R']))
self.Kd_R = np.diag(np.array(config_dict['Kd_R']))
mass_rot = np.array(config_dict['mass_z'])
stiff_rot = np.array(config_dict['stiff_z'])
desired_xi = np.array(config_dict['desired_xi'])
damp_rot = np.array(config_dict['damp_z'])
self.D_z_min = 10.0
self.D_z_max = 100.0
self.D_z_lambda = 5.0
self.M_z = np.diag(mass_rot)
self.K_z = np.diag(stiff_rot)
self.D_z = np.diag(damp_rot)
# 位控 2x2矩阵
self.Kp = np.diag(np.array(config_dict['Kp']))
self.Ki = np.diag(np.array(config_dict['Ki']))
self.Kd = np.diag(np.array(config_dict['Kd']))
self.pose_integral_error = np.zeros(6)
def step(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
rot_err_quat = arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
# z方向力导纳控制
self.state.arm_desired_acc[2] = 1/self.M_z * (wrench_err[2] - self.D_z * (self.state.arm_desired_twist[2] - self.state.desired_twist[2]) - self.K_z * self.state.pose_error[2])
self.pose_integral_error += self.state.pose_error * dt
# 位控制
self.state.arm_desired_acc[:2] = -self.Kd @ self.state.arm_desired_twist[:2] - self.Kp @ self.state.pose_error[:2] - self.Ki @ self.pose_integral_error[:2]
# 姿态pid
self.state.arm_desired_acc[3:] = -self.Kd_R @ self.state.arm_desired_twist[3:] - self.Kp_R @ self.state.pose_error[3:] - self.Ki_R @ self.pose_integral_error[3:]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]
def step_traj(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position + self.state.desired_twist[:3] * dt
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
angular_velocity = np.array(self.state.desired_twist[3:]) # 形状 (3,)
# 用旋转向量(小角度近似)
rotvec = angular_velocity * dt # 旋转向量 = 角速度 × 时间
rot_quat = R.from_rotvec(rotvec).as_quat() # 转成四元数,形状 (4,)
rot_err_quat = R.from_quat(rot_quat).inv() * arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
# z方向力导纳控制
self.state.arm_desired_acc[2] = 1/self.M_z * (wrench_err[2] - self.D_z * (self.state.arm_desired_twist[2] - self.state.desired_twist[2] + self.state.desired_acc[2]*dt) - self.K_z * self.state.pose_error[2]) + self.state.desired_acc[2]
self.pose_integral_error += self.state.pose_error * dt
# 位控制
self.state.arm_desired_acc[:2] = -self.Kd @ self.state.arm_desired_twist[:2] - self.Kp @ self.state.pose_error[:2] - self.Ki @ self.pose_integral_error[:2]
# 姿态pid
self.state.arm_desired_acc[3:] = -self.Kd_R @ self.state.arm_desired_twist[3:] - self.Kp_R @ self.state.pose_error[3:] - self.Ki_R @ self.pose_integral_error[3:]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]

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import sys
import numpy as np
from scipy.spatial.transform import Rotation as R
from .arm_state import ArmState
from .base_controller import BaseController
from pathlib import Path
sys.path.append(str(Path(__file__).resolve().parent.parent))
from tools.yaml_operator import read_yaml
import time
class HybridPidController(BaseController):
def __init__(self, name, state: ArmState,config_path) -> None:
super().__init__(name, state)
self.load_config(config_path)
self.laset_print_time = 0
def load_config(self, config_path):
config_dict = read_yaml(config_path)
if self.name != config_dict['name']:
raise ValueError(f"Controller name {self.name} does not match config name {config_dict['name']}")
# 姿态调节器
# 位控 2x2矩阵
self.Kp_R = np.diag(np.array(config_dict['Kp_R']))
self.Ki_R = np.diag(np.array(config_dict['Ki_R']))
self.Kd_R = np.diag(np.array(config_dict['Kd_R']))
# 力控
self.force_mass = np.array(config_dict['force_mass'])
self.force_damp = np.array(config_dict['force_damp'])
self.Kp_force = np.array(config_dict['Kp_force'])
self.Kd_force = np.array(config_dict['Kd_force'])
self.Ki_force = np.array(config_dict['Ki_force'])
# TODO 修改控制率
self.e_t = 0
self.e_t1 = 0
self.e_t2 = 0
self.force_control_value = 0
# 位控 2x2矩阵
self.Kp = np.diag(np.array(config_dict['Kp']))
self.Ki = np.diag(np.array(config_dict['Ki']))
self.Kd = np.diag(np.array(config_dict['Kd']))
self.pose_integral_error = np.zeros(6)
def step(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
rot_err_quat = arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
# z方向力控制
self.e_t2 = self.e_t1
self.e_t1 = self.e_t
self.e_t = wrench_err[2]
self.force_control_value += self.Kp_force * (self.e_t - self.e_t1) + self.Ki_force * self.e_t * dt + self.Kd_force * (self.e_t - 2 * self.e_t1 + self.e_t2) /dt
self.state.arm_desired_acc[2] = (1.0 / self.force_mass) * (self.force_control_value - self.force_damp * self.state.arm_desired_twist[2])
self.pose_integral_error += self.state.pose_error * dt
# 位控制
self.state.arm_desired_acc[:2] = -self.Kd @ self.state.arm_desired_twist[:2] - self.Kp @ self.state.pose_error[:2] - self.Ki @ self.pose_integral_error[:2]
# 姿态pid
self.state.arm_desired_acc[3:] = -self.Kd_R @ self.state.arm_desired_twist[3:] - self.Kp_R @ self.state.pose_error[3:] - self.Ki_R @ self.pose_integral_error[3:]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]
def step_traj(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position + self.state.desired_twist[:3] * dt
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
angular_velocity = np.array(self.state.desired_twist[3:]) # 形状 (3,)
# 用旋转向量(小角度近似)
rotvec = angular_velocity * dt # 旋转向量 = 角速度 × 时间
rot_quat = R.from_rotvec(rotvec).as_quat() # 转成四元数,形状 (4,)
rot_err_quat = R.from_quat(rot_quat).inv() * arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
# z方向力控制
self.e_t2 = self.e_t1
self.e_t1 = self.e_t
self.e_t = wrench_err[2]
self.force_control_value += self.Kp_force * (self.e_t - self.e_t1) + self.Ki_force * self.e_t * dt + self.Kd_force * (self.e_t - 2 * self.e_t1 + self.e_t2) /dt
self.state.arm_desired_acc[2] = (1.0 / self.force_mass) * (self.force_control_value - self.force_damp * self.state.arm_desired_twist[2])
self.pose_integral_error += self.state.pose_error * dt
# 位控制
self.state.arm_desired_acc[:2] = -self.Kd @ self.state.arm_desired_twist[:2] - self.Kp @ self.state.pose_error[:2] - self.Ki @ self.pose_integral_error[:2]
# 姿态pid
self.state.arm_desired_acc[3:] = -self.Kd_R @ self.state.arm_desired_twist[3:] - self.Kp_R @ self.state.pose_error[3:] - self.Ki_R @ self.pose_integral_error[3:]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]

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import sys
import numpy as np
from scipy.spatial.transform import Rotation as R
from .arm_state import ArmState
from .base_controller import BaseController
from pathlib import Path
sys.path.append(str(Path(__file__).resolve().parent.parent))
from tools.yaml_operator import read_yaml
import time
class HybridController(BaseController):
def __init__(self, name, state: ArmState,config_path) -> None:
super().__init__(name, state)
self.load_config(config_path)
self.laset_print_time = 0
def load_config(self, config_path):
config_dict = read_yaml(config_path)
if self.name != config_dict['name']:
raise ValueError(f"Controller name {self.name} does not match config name {config_dict['name']}")
# 姿态调节器
mass_rot = np.array(config_dict['mass_rot'])
stiff_rot = np.array(config_dict['stiff_rot'])
desired_xi = np.array(config_dict['desired_xi'])
damp_rot = np.array(config_dict['damp_rot'])
mass_z = np.array(config_dict['mass_z'])
stiff_z = np.array(config_dict['stiff_z'])
damp_z = np.array(config_dict['damp_z'])
for i in range(3):
if damp_rot[i] < 0:
damp_rot[i] = 2 * desired_xi * np.sqrt(stiff_rot[i] * mass_rot[i])
self.M_rot = np.diag(mass_rot)
self.M_rot_inv = np.linalg.inv(self.M_rot)
self.K_rot = np.diag(stiff_rot)
self.D_rot = np.diag(damp_rot)
# 位控 2x2矩阵
self.Kp = np.diag(np.array(config_dict['Kp']))
self.Ki = np.diag(np.array(config_dict['Ki']))
self.Kd = np.diag(np.array(config_dict['Kd']))
self.pose_integral_error = np.zeros(6)
self.M_z = np.diag(mass_z)
self.K_z = np.diag(stiff_z)
self.D_z = np.diag(damp_z)
def step(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
rot_err_quat = arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
# 姿态控制 期望目标点坐标系的姿态下的力矩为0
self.state.arm_desired_acc[3:] = self.M_rot_inv @ (wrench_err[3:] - self.D_rot @ (self.state.arm_desired_twist[3:] - self.state.desired_twist[3:]) - self.K_rot @ self.state.pose_error[3:])
# z方向力导纳控制
self.state.arm_desired_acc[2] = 1/self.M_z * (wrench_err[2] - self.D_z * (self.state.arm_desired_twist[2] - self.state.desired_twist[2]) - self.K_z * self.state.pose_error[2])
self.pose_integral_error += self.state.pose_error * dt
# 位控制
self.state.arm_desired_acc[:2] = -self.Kd @ self.state.arm_desired_twist[:2] - self.Kp @ self.state.pose_error[:2] - self.Ki @ self.pose_integral_error[:2]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]
def step_traj(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position + self.state.desired_twist[:3] * dt
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
angular_velocity = np.array(self.state.desired_twist[3:]) # 形状 (3,)
# 用旋转向量(小角度近似)
rotvec = angular_velocity * dt # 旋转向量 = 角速度 × 时间
rot_quat = R.from_rotvec(rotvec).as_quat() # 转成四元数,形状 (4,)
rot_err_quat = R.from_quat(rot_quat).inv() * arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
# 姿态控制 期望目标点坐标系的姿态下的力矩为0
self.state.arm_desired_acc[3:] = self.M_rot_inv @ (wrench_err[3:] - self.D_rot @ (self.state.arm_desired_twist[3:] - self.state.desired_twist[3:] + self.state.desired_acc[3:]*dt) - self.K_rot @ self.state.pose_error[3:]) + + self.state.desired_acc[3:]
# z方向力导纳控制
self.state.arm_desired_acc[2] = 1/self.M_z * (wrench_err[2] - self.D_z * (self.state.arm_desired_twist[2] - self.state.desired_twist[2] + self.state.desired_acc[2]*dt) - self.K_z * self.state.pose_error[2]) + self.state.desired_acc[2]
self.pose_integral_error += self.state.pose_error * dt
# 位控制
self.state.arm_desired_acc[:2] = -self.Kd @ self.state.arm_desired_twist[:2] - self.Kp @ self.state.pose_error[:2] - self.Ki @ self.pose_integral_error[:2]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]

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import numpy as np
from scipy.interpolate import CubicSpline
from scipy.spatial.transform import Rotation as R, Slerp
from scipy.interpolate import BSpline
from scipy.interpolate import make_interp_spline
from scipy.signal import savgol_filter
from scipy.interpolate import interp1d
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import math
import copy
def linear_interpolate(positions=None, quaternions=None, time_points=None, time_step=0.1):
"""
进行位置和/或姿态的线性插值支持多个点
:param positions: 位置序列单位为米 (Nx2 Nx3 numpy array, 可选)
:param quaternions: 姿态序列四元数 (Nx4 numpy array, 可选)
:param time_points: 时间点序列 (N个浮点数)
:param time_step: 离散时间步长单位为秒 (float)
:return: 插值序列包含位置序列姿态序列或两者兼有
"""
if positions is None and quaternions is None:
raise ValueError("至少需要输入位置或姿态的序列")
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
# 由于浮点数精度问题time_step要乘0.9
times = np.arange(time_points[0], time_points[-1] + time_step * 0.9, time_step)
if positions is not None:
all_positions = np.zeros((len(times), positions.shape[1]))
segment_durations = np.diff(time_points)
segment_counts = np.floor(segment_durations / time_step).astype(int)
current_idx = 0
for i in range(len(segment_counts)):
segment_times = np.linspace(0, segment_durations[i], segment_counts[i] + 1)
if i > 0:
segment_times = segment_times[1:]
start_pos = positions[i]
end_pos = positions[i + 1]
segment_positions = start_pos + np.outer(segment_times, (end_pos - start_pos) / segment_durations[i])
all_positions[current_idx:current_idx + len(segment_positions)] = segment_positions
current_idx += len(segment_positions)
# 确保最后一个位置被处理
if current_idx < len(times):
all_positions[current_idx:] = positions[-1]
if quaternions is not None:
slerp = Slerp(time_points, R.from_quat(quaternions))
all_quaternions = slerp(times).as_quat()
all_quaternions = np.array([quat / np.linalg.norm(quat) for quat in all_quaternions])
if positions is not None and quaternions is not None:
return all_positions, all_quaternions
elif positions is not None:
return all_positions
elif quaternions is not None:
return all_quaternions
def spline_interpolate(positions=None, quaternions=None, time_points=None, time_step=0.1):
"""
进行位置和/或姿态的样条插值支持多个点
:param positions: 位置序列单位为米 (Nx2 Nx3 numpy array, 可选)
:param quaternions: 姿态序列四元数 (Nx4 numpy array, 可选)
:param time_points: 时间点序列 (N个浮点数)
:param time_step: 离散时间步长单位为秒 (float)
:return: 插值序列包含位置序列姿态序列或两者兼有
"""
if positions is None and quaternions is None:
raise ValueError("至少需要输入位置或姿态的序列")
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
all_positions = []
all_quaternions = []
times = np.arange(time_points[0], time_points[-1] + time_step * 0.9, time_step)
if positions is not None:
cs = CubicSpline(time_points, positions, axis=0)
all_positions = cs(times)
if quaternions is not None:
slerp = Slerp(time_points, R.from_quat(quaternions))
all_quaternions = slerp(times).as_quat()
if positions is not None and quaternions is not None:
return np.array(all_positions), np.array(all_quaternions)
elif positions is not None:
return np.array(all_positions)
elif quaternions is not None:
return np.array(all_quaternions)
def generate_circle_trajectory(center, omega=0.4, radius=0.02, reverse=False, time_points=None, time_step=0.01, start_transition_duration=None, end_transition_duration=None):
"""
Generate a 3D trajectory of a circular motion from the center to the specified radius.
Parameters:
center (list): The center of the circle [x, y, z , r , p , y].
omega (float): The angular velocity.
radius (float): The radius of the circle.
reverse (bool): If True, rotates counterclockwise. If False, rotates clockwise.
time_points (list or np.ndarray): List or array of time points.
time_step (float): Time step for generating the trajectory.
start_transition_duration (float): Duration for the transition at the start.
end_transition_duration (float): Duration for the transition at the end.
Returns:
np.ndarray: Array of positions over time.
"""
# print(time_points)
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
if start_transition_duration is None:
start_transition_duration = 2
if end_transition_duration is None:
end_transition_duration = 2
t_points = time_points.copy()
t_points[-1] = time_points[-1] + end_transition_duration + start_transition_duration
t_points[-1] = round(t_points[-1] / time_step) * time_step
times = np.arange(t_points[0], t_points[-1] + time_step * 0.9, time_step)
if reverse:
angles = -omega * times
else:
angles = omega * times
radii = np.ones_like(times) * radius
start_transition = times < start_transition_duration
end_transition = times > (times[-1] - end_transition_duration)
radii[start_transition] = radius * (1 - np.cos(np.pi * times[start_transition] / start_transition_duration)) / 2
radii[end_transition] = radius * (1 + np.cos(np.pi * (times[end_transition] - (times[-1] - end_transition_duration)) / end_transition_duration)) / 2
x_positions = center[0][0] + radii * np.cos(angles)
y_positions = center[0][1] + radii * np.sin(angles)
z_positions = np.full_like(x_positions, center[0][2]) # Z position remains constant
positions = np.column_stack((x_positions, y_positions, z_positions))
return positions
def bezier_curve(control_points, n_points=100):
# 确保输入为二维 float64 数组
control_points = np.array(control_points, dtype=np.float64)
if control_points.ndim != 2:
raise ValueError("control_points must be a 2D array, got shape {}".format(control_points.shape))
n = len(control_points) - 1
t = np.linspace(0.0, 1.0, n_points)
curve = np.zeros((n_points, control_points.shape[1]), dtype=np.float64)
def bernstein(i, n, t):
from scipy.special import comb
return comb(n, i) * ((1 - t) ** (n - i)) * (t ** i)
for i in range(n + 1):
# 明确每个控制点是 float64 向量
point = np.asarray(control_points[i], dtype=np.float64)
if point.shape != (control_points.shape[1],):
raise ValueError(f"Invalid point shape: {point.shape}")
b = bernstein(i, n, t)
curve += np.outer(b, point)
return curve
def cloud_point_interpolate(positions=None, quaternions=None, time_points=None, time_step=0.1):
"""
进行输入的点云位置和/或姿态的曲线插值支持多个点采用B样条插值法
:param positions: 位置序列单位为米 (Nx2 Nx3 numpy array, 可选)
:param quaternions: 姿态序列四元数 (Nx4 numpy array, 可选)
:param time_points: 时间点序列 (N个浮点数)
:param time_step: 离散时间步长单位为秒 (float)
:return: 插值序列包含位置序列姿态序列或两者兼有
"""
if positions is None and quaternions is None:
raise ValueError("至少需要输入位置或姿态的序列")
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
temp_positions = np.array(positions)
temp_quaternions = np.zeros((len(quaternions), 4))
# 将RPY角度转换为四元数
for i in range(len(quaternions)):
temp_quaternions[i] = R.from_euler('xyz', quaternions[i]).as_quat()
time_points = np.linspace(time_points[0], time_points[-1], len(temp_positions))
times = np.arange(time_points[0], time_points[-1] + time_step * 0.9, time_step)
temp_positions_smoothed = copy.deepcopy(temp_positions)
# temp_positions = np.array(positions, dtype=np.float64)
# temp_positions_smoothed = bezier_curve(temp_positions, n_points=len(temp_positions))
temp_quaternions_smoothed = copy.deepcopy(temp_quaternions)
all_positions, all_quaternions = [], []
# 进行B样条插值
if temp_positions_smoothed is not None:
BS = make_interp_spline(time_points, temp_positions_smoothed, k=3, bc_type='natural')
all_positions = BS(times)
# 进行四元数LERP插值
if temp_quaternions_smoothed is not None:
temp_quaternions_smoothed = np.array(temp_quaternions_smoothed)
all_quaternions = []
for t in times:
# 在时间点序列中找到最近的两个时间点,用于线性插值
idx = np.searchsorted(time_points, t) - 1
idx = max(0, min(idx, len(time_points) - 2))
t1, t2 = time_points[idx], time_points[idx + 1]
q1, q2 = temp_quaternions_smoothed[idx], temp_quaternions_smoothed[idx + 1]
# 计算插值因子 alpha
alpha = (t - t1) / (t2 - t1)
# 进行四元数LERP插值
q_interp = (1 - alpha) * q1 + alpha * q2
q_interp /= np.linalg.norm(q_interp) # 归一化四元数
all_quaternions.append(q_interp)
euler_angles = R.from_quat(all_quaternions).as_euler('xyz')
# 检查数据点数量
if len(euler_angles) >= 5:
# 数据点数量大于等于3时使用 Savitzky-Golay 滤波器
euler_angles_smoothed = savgol_filter(euler_angles, window_length=5, polyorder=3, axis=0)
else:
# 数据点小于5时直接使用原始数据
euler_angles_smoothed = euler_angles
# 将平滑后的欧拉角转换回四元数
all_quaternions = R.from_euler('xyz', euler_angles_smoothed).as_quat()
if temp_positions is not None and temp_quaternions is not None:
return np.array(all_positions), np.array(all_quaternions)
elif temp_positions is not None:
return np.array(all_positions)
elif temp_quaternions is not None:
return np.array(all_quaternions)
def oscillation_wrench_interpolate(wrench=None, time_points=None, time_step=0.1):
if wrench is None:
raise ValueError("至少需要输入力矩的序列")
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
# 由于浮点数精度问题time_step要乘0.9
times = np.arange(time_points[0], time_points[-1] + time_step * 0.9, time_step)
if wrench is not None:
all_wrenchs = np.zeros((len(times), wrench.shape[1]))
current_idx = 0
up_wrench = np.array([0, 0, 0, 0, 0, 0])
down_wrench = np.array([0, 0, 0, 0, 0, 0])
up_wrench[2] = wrench[0][2] + 15 if wrench[0][2] + 15 < 0 else 0
down_wrench[2] = wrench[0][2] - 15 if wrench[0][2] - 15 > -50 else -50
for i in range(len(times)):
# 计算 phase
phase = np.sin(20 * np.pi * i / len(times)) # 使用 i 计算
phase = 1 if phase >= 0 else -1
# 计算 amplitude
# amplitude = np.array([0, 0, -50, 0, 0, 0]) if phase < 0 else np.array([0, 0, 0, 0, 0, 0])
amplitude = down_wrench if phase < 0 else up_wrench
# 计算 segment_wrenchs
segment_wrenchs = wrench + phase * (amplitude - wrench)
# 将 segment_wrenchs 填充到 all_wrenchs
all_wrenchs[current_idx:current_idx + len(segment_wrenchs)] = segment_wrenchs
current_idx += len(segment_wrenchs)
# 确保最后一个位置被处理
if current_idx < len(times):
all_wrenchs[current_idx:] = wrench
all_wrenchs = np.clip(all_wrenchs, np.array([0, 0, -70, 0, 0, 0]), np.array([0, 0, 0, 0, 0, 0]))
if wrench is not None:
return np.array(all_wrenchs)
def linear_wrench_interpolate(wrench=None, time_points=None, time_step=0.1):
if wrench is None:
raise ValueError("至少需要输入力矩的序列")
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
# 由于浮点数精度问题time_step要乘0.9
times = np.arange(time_points[0], time_points[-1] + time_step * 0.9, time_step)
if wrench is not None:
all_wrenchs = np.zeros((len(times), wrench.shape[1]))
current_idx = 0
start_wrench = np.array([0, 0, 0, 0, 0, 0])
end_wrench = wrench
for i in range(len(times)):
# 计算 phase
phase = i / len(times) # 使用 i 计算
# 计算 segment_wrenchs
segment_wrenchs = start_wrench + phase * (end_wrench - start_wrench)
# 将 segment_wrenchs 填充到 all_wrenchs
all_wrenchs[current_idx:current_idx + len(segment_wrenchs)] = segment_wrenchs
current_idx += len(segment_wrenchs)
# 确保最后一个位置被处理
if current_idx < len(times):
all_wrenchs[current_idx:] = wrench
all_wrenchs = np.clip(all_wrenchs, np.array([0, 0, -70, 0, 0, 0]), np.array([0, 0, 0, 0, 0, 0]))
if wrench is not None:
return np.array(all_wrenchs)
def resample_curve_strict(points, num_resampled_points):
"""
修正的曲线重新采样函数移除重复点并确保累积弧长严格递增支持三维曲线
:param points: Nx3 numpy array三维轨迹点
:param num_resampled_points: 重新采样的点数
:return: Nx3 numpy array重采样后的三维轨迹
"""
points = np.array(points, dtype=np.float64)
# 计算累积弧长
distances = np.linalg.norm(np.diff(points, axis=0), axis=1)
cumulative_length = np.insert(np.cumsum(distances), 0, 0)
# 移除重复点(累积弧长未变化的)
unique_indices = np.where(np.diff(cumulative_length, prepend=-np.inf) > 0)[0]
cumulative_length = cumulative_length[unique_indices]
points = points[unique_indices]
# 生成等间隔弧长采样点
target_lengths = np.linspace(0, cumulative_length[-1], num_resampled_points)
# 对每个维度做线性插值
interp_funcs = [interp1d(cumulative_length, points[:, i], kind='linear', fill_value="extrapolate") for i in range(3)]
new_coords = [interp(target_lengths) for interp in interp_funcs]
return np.column_stack(new_coords)
def circle_trajectory(center, omega=8.0, radius=0.04, reverse=False, time_points=None, time_step=0.01, start_transition_duration=None, end_transition_duration=None):
if time_points is None or len(time_points) < 2:
raise ValueError("需要提供至少两个时间点")
if start_transition_duration is None:
start_transition_duration = 2
if end_transition_duration is None:
end_transition_duration = 2
t_points = time_points.copy()
# t_points[-1] = time_points[-1] + end_transition_duration + start_transition_duration
t_points[-1] = time_points[-1]
t_points[-1] = round(t_points[-1] / time_step) * time_step
times = np.arange(t_points[0], t_points[-1] + time_step * 0.9, time_step)
if reverse:
angles = -omega * times
else:
angles = omega * times
radii = np.ones_like(times) * radius
start_transition = times < start_transition_duration
end_transition = times > (times[-1] - end_transition_duration)
radii[start_transition] = radius * (1 - np.cos(np.pi * times[start_transition] / start_transition_duration)) / 2
radii[end_transition] = radius * (1 + np.cos(np.pi * (times[end_transition] - (times[-1] - end_transition_duration)) / end_transition_duration)) / 2
x_positions = radii * np.cos(angles)
y_positions = radii * np.sin(angles)
z_positions = np.full_like(x_positions, 0) # Z position remains constant
positions = np.column_stack((x_positions, y_positions, z_positions))
positions = resample_curve_strict(positions, len(positions))
# print("circle_positions:")
tempToolRPY = R.from_euler('xyz', center[0][3:], degrees=False).as_matrix()
for i in range(len(positions)):
positions[i] = tempToolRPY @ positions[i] + center[0][:3] # 将RPY角度转换为四元数
# print(positions[i])
return positions
# def generate_circle_cloud_points(center, start_point, radius, delta_theta = 10*np.pi/180, num_turns = 3):
# """
# center: 圆心坐标,形如 (x_c, y_c)
# start_point: 起始点坐标,形如 (x_0, y_0)
# radius: 圆的半径
# delta_theta: 每次插补的角度增量
# num_turns: 绕圈的次数
# """
# # 确定总共需要生成的插补点数
# num_points = int((2 * np.pi * num_turns) / delta_theta)
# # 圆心
# x_c, y_c = center
# # 计算起始点的初始角度
# x_0, y_0 = start_point
# theta_0 = np.arctan2(y_0 - y_c, x_0 - x_c)
# # 初始化存储插补点的列表
# circle_points = []
# # 生成插补点
# for i in range(num_points):
# # 当前角度
# theta_i = theta_0 + i * delta_theta
# # 计算插补点的坐标
# x_i = x_c + radius * np.cos(theta_i)
# y_i = y_c + radius * np.sin(theta_i)
# # 将点添加到列表中
# circle_points.append((np.round(x_i).astype(int), np.round(y_i).astype(int)))
# circle_points.append((np.round(x_0).astype(int), np.round(y_0).astype(int)))
# return circle_points
def calculate_target_Euler(point):
temp_euler = np.zeros((len(point), 3), dtype=np.float64)
for i in range(len(point)):
if(point[i][5]<0):
temp_euler[i][0] = -math.asin(-point[i][4])
temp_euler[i][1] = math.atan2(-point[i][3],-point[i][5])
else:
temp_euler[i][0] = -math.asin(point[i][4])
temp_euler[i][1] = math.atan2(point[i][3],point[i][5])
temp_euler[i][2] = 0.0
return temp_euler
if __name__ == "__main__":
# import pathlib
# import sys
# sys.path.append(str(pathlib.Path.cwd()))
# from MassageControl.tools.draw_tools import plot_trajectory
import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
# 示例使用
center = (80, 90) # 圆心
start_point = (70, 0) # 起点
radius = np.linalg.norm(np.array(start_point) - np.array(center)) # 半径
delta_theta = np.pi / 9 # 每次插补的角度增量
num_turns = 2 # 绕2圈
# 生成圆的插补点
circle_points_with_start = generate_circle_cloud_points(center, start_point, radius, delta_theta, num_turns)
# 将生成的插补点转换为可视化的DataFrame
circle_points_with_start_df = pd.DataFrame({
"x": [point[0] for point in circle_points_with_start],
"y": [point[1] for point in circle_points_with_start]
})
# 打印生成的插补点
print(circle_points_with_start_df)
# 绘制插补点的图像
x_vals = [point[0] for point in circle_points_with_start]
y_vals = [point[1] for point in circle_points_with_start]
plt.figure(figsize=(6, 6))
plt.scatter(x_vals, y_vals, marker='o', linestyle='-', color='b')
plt.scatter([x_vals[0]], [y_vals[0]], color='r', label='Start Point') # 标记起点
plt.gca().set_aspect('equal', adjustable='box')
plt.title('Circle Interpolation Points with Start Point')
plt.xlabel('X')
plt.ylabel('Y')
plt.legend()
plt.grid(True)
# 保存并显示图片
plt.show()
# start1pos = np.array([0.0392,-0.408,0.752])
# end1pos = np.array([0.0392,0.2,0.752])
# start2pos = np.array([0.2281194148213992,-0.1320499159555817,0.7499999952316284])
# end2pos = np.array([0.14268880718774088,-0.13746791895961052,0.7350000095367432])
# start3pos = np.array([0.23648124242722512,-0.2097320409627573,0.7430000257492065])
# end3pos = np.array([0.1493414817211018,-0.21703966731273366,0.7340000224113464])
# start4pos = np.array([0.24389595888042098,-0.30559190060482105,0.7499999952316284])
# end4pos = np.array([0.15822969083491112,-0.3106326911577041,0.7440000128746033])
# start5pos = np.array([0.2535787008200847,-0.402571052456421,0.7559999775886536])
# end5pos = np.array([0.16737854928028986,-0.41016720685793384,0.7580000114440918])
# # #--------------------------
# # # 计算起始点和结束点之间的总距离
# # total_distance = np.linalg.norm(start2pos - end1pos)
# # # 根据欧式距离步长为0.005估算所需的点数
# # num_points = int(total_distance / dis)
# # # 初始化用于存储点的数组
# # temppoints = np.zeros((num_points + 1, 3))
# # temppoints[0] = end1pos
# # # 生成欧式距离差约为0.01的点
# # for i in range(1, num_points + 1):
# # direction = (start2pos - end1pos) / total_distance # 单位方向向量
# # temppoints[i] = temppoints[i-1] + direction * dis
# # # 确保最后一个点与endpos完全重合
# # temppoints[-1] = start2pos
# # points = np.vstack((points, temppoints))
# # #--------------------------
# # # 计算起始点和结束点之间的总距离
# # total_distance = np.linalg.norm(end2pos - start2pos)
# # # 根据欧式距离步长为0.005估算所需的点数
# # num_points = int(total_distance / dis)
# # # 初始化用于存储点的数组
# # temppoints = np.zeros((num_points + 1, 3))
# # temppoints[0] = start2pos
# # # 生成欧式距离差约为0.01的点
# # for i in range(1, num_points + 1):
# # direction = (end2pos - start2pos) / total_distance # 单位方向向量
# # temppoints[i] = temppoints[i-1] + direction * dis
# # # 确保最后一个点与endpos完全重合
# # temppoints[-1] = end2pos
# # points = np.vstack((points, temppoints))
# # #--------------------------
# # # 计算起始点和结束点之间的总距离
# # total_distance = np.linalg.norm(start3pos - end2pos)
# # # 根据欧式距离步长为0.005估算所需的点数
# # num_points = int(total_distance / dis)
# # # 初始化用于存储点的数组
# # temppoints = np.zeros((num_points + 1, 3))
# # temppoints[0] = end2pos
# # # 生成欧式距离差约为0.01的点
# # for i in range(1, num_points + 1):
# # direction = (start3pos - end2pos) / total_distance # 单位方向向量
# # temppoints[i] = temppoints[i-1] + direction * dis
# # # 确保最后一个点与endpos完全重合
# # temppoints[-1] = start3pos
# # points = np.vstack((points, temppoints))
# # #--------------------------
# # # 计算起始点和结束点之间的总距离
# # total_distance = np.linalg.norm(end3pos - start3pos)
# # # 根据欧式距离步长为0.005估算所需的点数
# # num_points = int(total_distance / dis)
# # # 初始化用于存储点的数组
# # temppoints = np.zeros((num_points + 1, 3))
# # temppoints[0] = start3pos
# # # 生成欧式距离差约为0.01的点
# # for i in range(1, num_points + 1):
# # direction = (end3pos - start3pos) / total_distance # 单位方向向量
# # temppoints[i] = temppoints[i-1] + direction * dis
# # # 确保最后一个点与endpos完全重合
# # temppoints[-1] = end3pos
# # points = np.vstack((points, temppoints))
# # #--------------------------
# # # 计算起始点和结束点之间的总距离
# # total_distance = np.linalg.norm(start4pos - end3pos)
# # # 根据欧式距离步长为0.005估算所需的点数
# # num_points = int(total_distance / dis)
# # # 初始化用于存储点的数组
# # temppoints = np.zeros((num_points + 1, 3))
# # temppoints[0] = end3pos
# # # 生成欧式距离差约为0.01的点
# # for i in range(1, num_points + 1):
# # direction = (start4pos - end3pos) / total_distance # 单位方向向量
# # temppoints[i] = temppoints[i-1] + direction * dis
# # # 确保最后一个点与endpos完全重合
# # temppoints[-1] = start4pos
# # points = np.vstack((points, temppoints))
# # #--------------------------
# # # 计算起始点和结束点之间的总距离
# # total_distance = np.linalg.norm(end4pos - start4pos)
# # # 根据欧式距离步长为0.005估算所需的点数
# # num_points = int(total_distance / dis)
# # # 初始化用于存储点的数组
# # temppoints = np.zeros((num_points + 1, 3))
# # temppoints[0] = start4pos
# # # 生成欧式距离差约为0.01的点
# # for i in range(1, num_points + 1):
# # direction = (end4pos - start4pos) / total_distance # 单位方向向量
# # temppoints[i] = temppoints[i-1] + direction * dis
# # # 确保最后一个点与endpos完全重合
# # temppoints[-1] = end4pos
# # points = np.vstack((points, temppoints))
# # #--------------------------
# # # 计算起始点和结束点之间的总距离
# # total_distance = np.linalg.norm(start5pos - end4pos)
# # # 根据欧式距离步长为0.005估算所需的点数
# # num_points = int(total_distance / dis)
# # # 初始化用于存储点的数组
# # temppoints = np.zeros((num_points + 1, 3))
# # temppoints[0] = end4pos
# # # 生成欧式距离差约为0.01的点
# # for i in range(1, num_points + 1):
# # direction = (start5pos - end4pos) / total_distance # 单位方向向量
# # temppoints[i] = temppoints[i-1] + direction * dis
# # # 确保最后一个点与endpos完全重合
# # temppoints[-1] = start5pos
# # points = np.vstack((points, temppoints))
# # #--------------------------
# # # 计算起始点和结束点之间的总距离
# # total_distance = np.linalg.norm(end5pos - start5pos)
# # # 根据欧式距离步长为0.005估算所需的点数
# # num_points = int(total_distance / dis)
# # # 初始化用于存储点的数组
# # temppoints = np.zeros((num_points + 1, 3))
# # temppoints[0] = start5pos
# # # 生成欧式距离差约为0.01的点
# # for i in range(1, num_points + 1):
# # direction = (end5pos - start5pos) / total_distance # 单位方向向量
# # temppoints[i] = temppoints[i-1] + direction * dis
# # # 确保最后一个点与endpos完全重合
# # temppoints[-1] = end5pos
# # points = np.vstack((points, temppoints))
# positions_2d = np.vstack([start1pos,end1pos])
# #print(points)
# time_points = np.array([0,10])
# time_step = 0.01
# #print(time_points)
# #使用点云B样条插值
# temppose = np.array([1,1,1,1,0,0])
# positions_2d_interp = circle_trajectory(center=temppose,radius=0.05,time_points=time_points,time_step=time_step)
# quaternions_interp = np.tile(R.from_euler('xyz', np.array(temppose[3:])).as_quat(), (positions_2d_interp.shape[0], 1))
# # positions_2d_interp, quaternions_interp = cloud_point_interpolate(positions=positions_2d, time_points=time_points, time_step=time_step)
# # print("2D Position Trajectory (Spline):")
# # print(positions_2d)
# # # 分解轨迹的x, y, z坐标
# x_trajectory, y_trajectory, z_trajectory = zip(*positions_2d_interp)
# # 分解散点的x, y, z坐标
# x_scatter, y_scatter, z_scatter = zip(*positions_2d)
# # 创建一个3D图形
# fig = plt.figure()
# ax = fig.add_subplot(111, projection='3d')
# # # 设置字体为 SimHei (黑体)
# # plt.rcParams['font.sans-serif'] = ['SimHei'] # 使用黑体
# # plt.rcParams['axes.unicode_minus'] = False # 解决负号无法正常显示的问题
# # 绘制3D连续轨迹
# ax.plot(x_trajectory, y_trajectory, z_trajectory, label='B-spline interpolation trajectory', color='b')
# # 绘制3D散点图
# ax.scatter(x_scatter, y_scatter, z_scatter, label='cloud points', color='r', marker='o')
# # 设置轴标签
# ax.set_xlabel('X Label')
# ax.set_ylabel('Y Label')
# ax.set_zlabel('Z Label')
# # 设置标题
# ax.set_title('3D Trajectory and Scatter Plot')
# # 添加图例
# ax.legend()
# # 设置轴的比例为相等
# plt.gca().set_aspect('equal', adjustable='box')
# # # 显示图形
# # plt.show()
# plot_trajectory(positions_2d_interp, quaternions_interp)
# # for i in range(10):
# # tempX = np.linspace(startpos[0], endpos[0], 10)
# # 示例使用
# positions_2d = np.array([[0, 0], [1, 1], [1, 2],[2,2]]) #, [1, 1], [2, 1], [1, 1], [1, 1],[0, 0]])
# positions_3d = np.array([[0, 0, 0], [1, 1, 1], [2, 0, 2], [3, 1, 3]])
# quaternions = np.array([[0, 0, 0, 1], [0.707, 0, 0, 0.707], [1, 0, 0, 0], [1, 0, 0, 0]])
# time_points = np.array([0, 1, 3, 4])
# time_step = 0.5
# # # 只插值2D位置
# # positions_2d_interp = linear_interpolate(positions=positions_2d, time_points=time_points, time_step=time_step)
# # print("2D Position Trajectory:")
# # print(positions_2d_interp)
# # # 只插值3D位置
# # positions_3d_interp = linear_interpolate(positions=positions_3d, time_points=time_points, time_step=time_step)
# # print("3D Position Trajectory:")
# # print(positions_3d_interp)
# # # 只插值姿态
# # quaternions_interp = linear_interpolate(quaternions=quaternions, time_points=time_points, time_step=time_step)
# # print("Quaternion Trajectory:")
# # print(quaternions_interp)
# # # 同时插值3D位置和姿态
# # positions_3d_interp, quaternions_interp = linear_interpolate(positions=positions_3d, quaternions=quaternions, time_points=time_points, time_step=time_step)
# # print("3D Position and Quaternion Trajectory:")
# # print(positions_3d_interp)
# # print(quaternions_interp)
# # # 绘制插值轨迹
# # plot_trajectory(positions_2d_interp)
# # plot_trajectory(positions_3d_interp)
# # plot_trajectory(quaternions_interp)
# # plot_trajectory(positions_3d_interp, quaternions_interp)
# # # 使用样条插值
# # positions_2d_interp = spline_interpolate(positions=positions_2d, time_points=time_points, time_step=time_step)
# # print("2D Position Trajectory (Spline):")
# # print(positions_2d_interp)
# # plot_trajectory(positions_2d_interp)
# # positions_3d_interp, quaternions_interp = spline_interpolate(positions=positions_3d, quaternions=quaternions, time_points=time_points, time_step=time_step)
# # print("3D Position and Quaternion Trajectory (Spline):")
# # print(positions_3d_interp)
# # print(quaternions_interp)
# # plot_trajectory(positions_3d_interp, quaternions_interp)
# # # 使用点云B样条插值
# # positions_2d_interp = cloud_point_interpolate(positions=positions_2d, time_points=time_points, time_step=time_step)
# # print("2D Position Trajectory (Spline):")
# # print(positions_2d_interp)
# # plot_trajectory(positions_2d_interp)
# # positions_3d_interp, quaternions_interp = cloud_point_interpolate(positions=positions_3d, quaternions=quaternions, time_points=time_points, time_step=time_step)
# # print("3D Position and Quaternion Trajectory (Spline):")
# # print(positions_3d_interp)
# # print(quaternions_interp)
# # plot_trajectory(positions_3d_interp, quaternions_interp)

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import sys
import numpy as np
from scipy.spatial.transform import Rotation as R
from .base_controller import BaseController
from .arm_state import ArmState
from pathlib import Path
import time
sys.path.append(str(Path(__file__).resolve().parent.parent))
from tools.yaml_operator import read_yaml
# from pykalman import KalmanFilter
import copy
class PositionerSensorController(BaseController):
def __init__(self, name, state:ArmState,config_path) -> None:
super().__init__(name, state)
self.load_config(config_path)
def load_config(self, config_path):
config_dict = read_yaml(config_path)
if self.name != config_dict['name']:
raise ValueError(f"Controller name {self.name} does not match config name {config_dict['name']}")
desired_xi = np.array(config_dict['desired_xi'])
damp_tran = np.array(config_dict['damp_tran'])
# TODO 修改控制率
self.e_t = 0
self.e_t1 = 0
self.e_t2 = 0
self.force_control_value = 0
# 姿态 3x3矩阵
self.Kp_R = np.diag(np.array(config_dict['Kp_R']))
self.Ki_R = np.diag(np.array(config_dict['Ki_R']))
self.Kd_R = np.diag(np.array(config_dict['Kd_R']))
# 姿态 3x3矩阵
self.Kp_M = np.diag(np.array(config_dict['Kp_M']))
self.Ki_M = np.diag(np.array(config_dict['Ki_M']))
self.Kd_M = np.diag(np.array(config_dict['Kd_M']))
self.pose_integral_error = np.zeros(6)
# 导纳xyz位置调节器
mass_tran = np.array(config_dict['mass_tran'])
stiff_tran = np.array(config_dict['stiff_tran'])
damp_tran = np.array(config_dict['damp_tran'])
for i in range(1):
if damp_tran[i] < 0:
damp_tran[i] = 2 * desired_xi * np.sqrt(stiff_tran[i] * mass_tran[i])
self.M_tran = np.diag(mass_tran)
self.K_tran = np.diag(stiff_tran)
self.D_tran = np.diag(damp_tran)
self.laset_print_time = 0
def step(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
rot_err_quat = arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
self.pose_integral_error += self.state.pose_error * dt
# 姿态pid
self.state.arm_desired_acc[3:] = -self.Kd_R @ self.state.arm_desired_twist[3:] - self.Kp_R @ self.state.pose_error[3:] - self.Ki_R @ self.pose_integral_error[3:]
# 位控制
self.state.arm_desired_acc[:2] = -self.Kd_M @ self.state.arm_desired_twist[:2] - self.Kp_M @ self.state.pose_error[:2] - self.Ki_M @ self.pose_integral_error[:2]
self.state.arm_desired_acc[2] = (1/self.M_tran) * (wrench_err[2] - self.D_tran * (self.state.arm_desired_twist[2] - self.state.desired_twist[2])-self.K_tran * self.state.pose_error[2])
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]
def step_traj(self,dt):
# 方向统一
if self.state.desired_orientation.dot(self.state.arm_orientation) < 0:
self.state.arm_orientation = -self.state.arm_orientation
# 缓存常用计算
arm_ori_quat = R.from_quat(self.state.arm_orientation)
arm_ori_mat = arm_ori_quat.as_matrix()
# 位置误差
temp_pose_error = self.state.arm_position - self.state.desired_position + self.state.desired_twist[:3] * dt
self.state.pose_error[:3] = arm_ori_mat.T @ temp_pose_error
# 姿态误差(四元数)
angular_velocity = np.array(self.state.desired_twist[3:]) # 形状 (3,)
# 用旋转向量(小角度近似)
rotvec = angular_velocity * dt # 旋转向量 = 角速度 × 时间
rot_quat = R.from_rotvec(rotvec).as_quat() # 转成四元数,形状 (4,)
rot_err_quat = R.from_quat(rot_quat).inv() * arm_ori_quat.inv() * R.from_quat(self.state.desired_orientation)
self.state.pose_error[3:] = -rot_err_quat.as_rotvec(degrees=False)
# 期望加速度
wrench_err = self.state.external_wrench_tcp - self.state.desired_wrench
self.pose_integral_error += self.state.pose_error * dt
# 姿态pid
self.state.arm_desired_acc[3:] = -self.Kd_R @ self.state.arm_desired_twist[3:] - self.Kp_R @ self.state.pose_error[3:] - self.Ki_R @ self.pose_integral_error[3:]
# 位控制
self.state.arm_desired_acc[:2] = -self.Kd_M @ self.state.arm_desired_twist[:2] - self.Kp_M @ self.state.pose_error[:2] - self.Ki_M @ self.pose_integral_error[:2]
self.state.arm_desired_acc[2] = (1/self.M_tran) * (wrench_err[2] - self.D_tran * (self.state.arm_desired_twist[2] - self.state.desired_twist[2] + self.state.desired_acc[2]*dt)-self.K_tran * self.state.pose_error[2]) + self.state.desired_acc[2]
self.clip_command(self.state.arm_desired_acc, "acc")
## 更新速度和位姿
self.state.arm_desired_twist += self.state.arm_desired_acc * dt
self.clip_command(self.state.arm_desired_twist, "vel")
# 计算位姿变化
delta_pose = np.concatenate([
arm_ori_mat @ (self.state.arm_desired_twist[:3] * dt),
self.state.arm_desired_twist[3:] * dt
])
self.clip_command(delta_pose, "pose")
# 更新四元数
delta_ori_quat = R.from_rotvec(delta_pose[3:]).as_quat()
arm_ori_quat_new = arm_ori_quat * R.from_quat(delta_ori_quat)
self.state.arm_orientation_command = arm_ori_quat_new.as_quat()
# 归一化四元数
self.state.arm_orientation_command /= np.linalg.norm(self.state.arm_orientation_command)
# 更新位置
self.state.arm_position_command = self.state.arm_position + delta_pose[:3]
if __name__ == "__main__":
state = ArmState()
controller = PositionerSensorController("admittance",state,"/home/zyc/admittance_control/MassageControl/config/admittance.yaml")
print(controller.name)
print(controller.state.arm_position)
state.arm_position = np.array([1,2,3])
print(controller.state.arm_position)
print(controller.M)
print(controller.D)
print(controller.K)

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name: 'admithybrid'
desired_xi: 1
pos_scale_factor: 1
mass_tran: [3.0, 3.0, 3.0]
stiff_tran: [270, 270, 270]
damp_tran: [30, 30, 30]
Kp: [1,1,1]
Ki: [0, 0, 0]
Kd: [1, 1, 1]

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name: admittanceZ
desired_xi: 1
pos_scale_factor: 1
rot_scale_factor: 1
mass_tran: [3.0, 3.0, 3.0]
mass_rot: [0.11, 0.11, 0.11]
stiff_tran: [270, 270, 0]
stiff_rot: [11, 11, 11]
damp_tran: [30, 30, 30]
damp_rot: [1.1, 1.1, 1.1]

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name: 'hybrid'
mass_rot: [0.11, 0.11, 0.11]
stiff_rot: [11, 11, 11]
damp_rot: [1.1, 1.1, 1.1]
desired_xi: 1.0
mass_z: [3.0]
stiff_z: [0]
damp_z: [30]
# 位控参数
Kp: [20,20]
Ki: [0.2,0.2]
Kd: [10,10]

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name: 'hybridAdmit'
mass_z: [3.0]
stiff_z: [0]
damp_z: [30]
# 位控参数
Kp: [20,20]
Ki: [0.2,0.2]
Kd: [10,10]
# 位控参数
Kp_R: [1,1,1]
Ki_R: [0,0,0]
Kd_R: [1,1,1]
# # 位控参数
# Kp: [90,90]
# Kd: [25,25]

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name: 'hybridPid'
# 力控参数
force_mass: 2.5
force_damp: 25
Kp_force: 2.0 #0.6
Kd_force: 0.0
Ki_force: 0.0 #0
# 位控参数
Kp: [20,20]
Ki: [0.2,0.2]
Kd: [10,10]
# 位控参数
Kp_R: [1,1,1]
Ki_R: [0,0,0]
Kd_R: [1,1,1]

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name: positionerSensor
desired_xi: 1
pos_scale_factor: 1
mass_tran: [3.0]
stiff_tran: [270]
damp_tran: [30]
Kp_R: [1,1,1]
Ki_R: [0, 0, 0]
Kd_R: [1, 1, 1]
# 位控参数
Kp_M: [20,20]
Ki_M: [0.2,0.2]
Kd_M: [10,10]