Files
5dof/jicheng1.py

457 lines
16 KiB
Python
Raw Normal View History

2025-09-15 10:45:15 +08:00
# ==================== 五连杆机械臂轨迹控制集成版S型速度 + 五次插值)====================
# 功能:轨迹生成 + 逆解 + S型速度规划 + 五次多项式平滑控制 + 动画显示 + 关节角度可视化 + FK 验证
# =======================================================================================
import time
import numpy as np
import matplotlib.pyplot as plt
from matplotlib.animation import FuncAnimation
from time import perf_counter # 高精度计时
# 设置中文字体和负号显示
plt.rcParams['font.sans-serif'] = ['SimHei', 'WenQuanYi Zen Hei', 'FangSong']
plt.rcParams['axes.unicode_minus'] = False
# ------------------------ 调试开关 ------------------------
DEBUG_MODE = True # <<< 设为 False 控制真实电机
# 导入运动学和轨迹函数(确保路径正确)
try:
from calculate.ik import inverseF
from calculate.fk import forwardF
from calculate.trajectory import (
circle_trajectory,
line_trajectory,
line_trajectory_fix,
ellipse_trajectory,
square_trajectory,
triangle_trajectory
)
except ImportError as e:
print(f"【警告】无法导入运动学模块: {e}, 使用 DEBUG_MODE")
DEBUG_MODE = True
# -------------------- 非 Debug 模式导入硬件库 --------------------
if not DEBUG_MODE:
try:
from DM_CAN.DM_CAN import Motor, MotorControl, DM_Motor_Type, Control_Type
import serial
except ImportError as e:
print(f"硬件库导入失败: {e}")
exit(1)
else:
print("【DEBUG MODE】: 已启用调试模式,不连接真实硬件。")
# ------------------------ 机械臂参数 ------------------------
L1 = 250 # 左臂长度 (mm)
L2 = 300
L3 = 300
L4 = 250 # 右臂长度
L0 = 250 # 基座右端偏移
# ------------------------ 电机与通信配置 ------------------------
MOTOR1_ID = 0x01
MOTOR2_ID = 0x04
CAN_SERIAL_PORT = '/dev/ttyACM0'
BAUD_RATE = 921600
KP = 50.0
KD = 1.0
DT = 0.001 # 控制周期 1ms
# ------------------------ 全局变量 ------------------------
motor1 = motor2 = motor_control = None
current_theta1 = current_theta4 = 0.0
x_list = y_list = [] # 轨迹点
line = None
# ------------------------ 精确延时 ------------------------
def busy_wait(dt):
"""高精度延时"""
start = perf_counter()
while perf_counter() - start < dt:
pass
# ------------------------ 角度连续性调整 ------------------------
def adjust_angle_continuity(new_angle, prev_angle):
"""
防止角度跳变 3.14 -3.14保持连续
"""
diff = new_angle - prev_angle
while diff > np.pi:
diff -= 2 * np.pi
while diff < -np.pi:
diff += 2 * np.pi
return prev_angle + diff
# ==================== 五次多项式插值 ====================
def quintic_interpolation(q0, qf, t, T):
"""
五次多项式平滑插值
q0: 起始位置
qf: 目标位置
t: 当前时间0~T
T: 总时间
返回平滑位置
"""
s = t / T
s = np.clip(s, 0, 1) # 限制在0~1
alpha = s**3 * (10 - 15*s + 6*s**2)
return q0 + (qf - q0) * alpha
# ==================== S型速度规划5段式====================
def s_curve_timing(total_time, dt=0.001, max_accel_ratio=2.0):
"""
生成 S 型速度剖面的时间参数化 s(t) [0,1]
使用 5 加加速 匀加速 匀速 匀减速 减减速
"""
t_list = np.arange(0, total_time, dt)
if len(t_list) == 0:
t_list = np.array([0])
# 参数:最大加速度设为 4v/TS型典型
v_max = 0.5 * max_accel_ratio * total_time # 归一化速度
a_max = 4 * v_max / total_time # 加速度
t_jerk = v_max / a_max # 加加速时间
t_acc = 2 * t_jerk # 总加速时间
t_cruise = total_time - 2 * t_acc
if t_cruise < 0:
t_acc = total_time / 2
t_jerk = t_acc / 2
t_cruise = 0
s_list = []
for t in t_list:
if t <= t_jerk:
s = (a_max / t_jerk) * t**3 / 6
elif t <= t_acc - t_jerk:
t2 = t - t_jerk
s = (a_max / t_jerk) * t_jerk**3 / 6 + a_max * t_jerk * t2 + 0.5 * a_max * t2**2
elif t <= t_acc:
t3 = t - (t_acc - t_jerk)
s1 = (a_max / t_jerk) * t_jerk**3 / 6
s2 = a_max * t_jerk * (t_acc - 2*t_jerk) + 0.5 * a_max * (t_acc - 2*t_jerk)**2
s3 = a_max * t_jerk * t3 - 0.5 * a_max * t3**2
s = s1 + s2 + s3
elif t <= t_acc + t_cruise:
t4 = t - t_acc
s = s_list[-1] if s_list else 0
s += v_max * t4
else:
t5 = t - (t_acc + t_cruise)
if t5 <= t_jerk:
s = 1 - (v_max * (total_time - t) - 0.5 * a_max * t5**2)
elif t5 <= t_acc - t_jerk:
s = 1 - (v_max * (total_time - t - t_jerk) - 0.5 * a_max * t_jerk**2)
else:
t6 = t5 - (t_acc - t_jerk)
s = 1 - (a_max / t_jerk) * t6**3 / 6
s_list.append(s)
# 归一化到 [0,1]
s_max = max(s_list) if s_list else 1
s_normalized = np.array(s_list) / s_max if s_max > 0 else np.zeros_like(s_list)
return t_list, s_normalized
# ------------------------ 初始化电机 ------------------------
def init_motors():
global motor1, motor2, motor_control
if DEBUG_MODE:
print("【DEBUG】跳过电机初始化")
motor1 = motor2 = type('Motor', (), {'id': 0})()
motor_control = type('MotorControl', (), {
'enable': lambda x: True,
'disable': lambda x: None,
'controlMIT': lambda m, kp, kd, pos, vel, torq: None,
'refresh_motor_status': lambda m: None,
'switchControlMode': lambda m, mode: None,
'save_motor_param': lambda m: None
})()
return motor1, motor2, motor_control
try:
can_serial = serial.Serial(CAN_SERIAL_PORT, BAUD_RATE, timeout=0.5)
print(f"CAN 串口 {CAN_SERIAL_PORT} 打开成功")
except Exception as e:
print(f"无法打开串口: {e}")
exit(1)
motor_control = MotorControl(can_serial)
motor1 = Motor(DM_Motor_Type.DM4310, MOTOR1_ID, 0x11)
motor2 = Motor(DM_Motor_Type.DM4310, MOTOR2_ID, 0x15)
motor_control.addMotor(motor1)
motor_control.addMotor(motor2)
motor_control.switchControlMode(motor1, Control_Type.MIT)
motor_control.switchControlMode(motor2, Control_Type.MIT)
time.sleep(0.1)
motor_control.save_motor_param(motor1)
motor_control.save_motor_param(motor2)
motor_control.enable(motor1)
motor_control.enable(motor2)
print("电机已使能。")
return motor1, motor2, motor_control
# ------------------------ MIT 控制函数 ------------------------
def control_two_motors_mit(theta1, theta4):
"""发送 MIT 控制指令(角度单位:弧度)"""
global current_theta1, current_theta4
pos1 = np.degrees(theta1)
pos4 = np.degrees(theta4)
vel = 0.0
torq = 0.0
if not DEBUG_MODE:
motor_control.controlMIT(motor1, KP, KD, pos1, vel, torq)
motor_control.controlMIT(motor2, KP, KD, pos4, vel, torq)
else:
print(f"[DEBUG] 控制 -> θ1={pos1:.2f}°, θ4={pos4:.2f}°")
current_theta1 = theta1
current_theta4 = theta4
# ------------------------ 平滑轨迹执行函数(带 S 型速度)------------------------
def execute_smooth_trajectory(x_list, y_list,
total_time=8.0,
kp=KP, kd=KD, dt=DT,
read_interval=0.01):
"""
执行平滑轨迹使用 S 型速度剖面 + 五次多项式插值
返回: (time_log, theta1_log, theta4_log, x_fk_log, y_fk_log)
"""
global motor_control, motor1, motor2
time_log = []
theta1_log = []
theta4_log = []
x_fk_log = []
y_fk_log = []
# FK 参数
l1, l2, l3, l4, l5 = L1, L2, L3, L4, L0
omega1 = omega4 = 0.0
alpha1 = alpha4 = 0.0
# 获取起始角度
if not DEBUG_MODE:
motor_control.refresh_motor_status(motor1)
motor_control.refresh_motor_status(motor2)
time.sleep(0.1)
motor_control.refresh_motor_status(motor1)
motor_control.refresh_motor_status(motor2)
start_theta1 = np.radians(motor1.getPosition())
start_theta4 = np.radians(motor2.getPosition())
else:
start_theta1 = start_theta4 = 0.0
# 生成 S 型时间剖面
t_profile, s_profile = s_curve_timing(total_time=total_time, dt=dt)
if len(s_profile) == 0:
s_profile = np.linspace(0, 1, len(x_list))
# 插值轨迹点(使用 S 型进度)
num_s = len(s_profile)
x_interp = np.interp(s_profile, np.linspace(0, 1, len(x_list)), x_list)
y_interp = np.interp(s_profile, np.linspace(0, 1, len(y_list)), y_list)
prev_theta1 = start_theta1
prev_theta4 = start_theta4
start_time = perf_counter()
for i in range(num_s):
x = x_interp[i]
y = y_interp[i]
try:
target_theta1_raw, target_theta4_raw = inverseF(x, y, L1, L2, L3, L4, L0)
target_theta1 = float(target_theta1_raw)
target_theta4 = float(target_theta4_raw)
except Exception as e:
print(f"逆解失败: ({x:.2f}, {y:.2f}) -> {e}")
target_theta1 = prev_theta1
target_theta4 = prev_theta4
else:
target_theta1 = adjust_angle_continuity(target_theta1, prev_theta1)
target_theta4 = adjust_angle_continuity(target_theta4, prev_theta4)
# 五次多项式插值(单点瞬时)
T_seg = dt
steps = 1 # 每个点只执行一次
for step in range(steps):
t_step = step * T_seg / steps
theta1 = quintic_interpolation(prev_theta1, target_theta1, t_step, T_seg)
theta4 = quintic_interpolation(prev_theta4, target_theta4, t_step, T_seg)
control_two_motors_mit(theta1, theta4)
# FK 验证
try:
xc, yc, _, _, _, _, _, _ = forwardF(
u1=theta1, u4=theta4, omega1=omega1, omega4=omega4,
l1=l1, l2=l2, l3=l3, l4=l4, l5=l5, alpha1=alpha1, alpha4=alpha4
)
x_fk_log.append(xc)
y_fk_log.append(yc)
except:
x_fk_log.append(np.nan)
y_fk_log.append(np.nan)
# 读取反馈
now = perf_counter()
if not DEBUG_MODE and (now - start_time) % read_interval < dt:
motor_control.refresh_motor_status(motor1)
motor_control.refresh_motor_status(motor2)
time_log.append(now - start_time)
theta1_log.append(np.degrees(theta1))
theta4_log.append(np.degrees(theta4))
next_time = start_time + t_profile[i] + dt
busy_wait(next_time - perf_counter())
prev_theta1, prev_theta4 = target_theta1, target_theta4
return time_log, theta1_log, theta4_log, x_fk_log, y_fk_log
# ------------------------ 动画绘制函数 ------------------------
def draw_frame(i):
x = x_list[i]
y = y_list[i]
try:
theta1, theta4 = inverseF(x, y, L1, L2, L3, L4, L0)
x2 = L1 * np.cos(theta1)
y2 = L1 * np.sin(theta1)
x4 = L0 + L4 * np.cos(theta4)
y4 = L4 * np.sin(theta4)
x_coords = [0, x2, x, x4, L0]
y_coords = [0, y2, y, y4, 0]
line.set_data(x_coords, y_coords)
except:
line.set_data([], [])
return line,
# ------------------------ 轨迹动画与执行 + 可视化 + FK 验证 ------------------------
def run_trajectory_with_animation(trajectory_func, **params):
global x_list, y_list, line
print(f"生成轨迹: {trajectory_func.__name__}")
x_list, y_list = trajectory_func(**params)
print(f"轨迹点数: {len(x_list)}")
# --- 动画 ---
fig, ax = plt.subplots(figsize=(10, 8))
ax.set_xlim(-50, L0 + 100)
ax.set_ylim(0, 500)
ax.set_aspect('equal')
ax.grid(True, alpha=0.6)
ax.set_title(f"五连杆机械臂 - 轨迹: {trajectory_func.__name__}")
ax.plot(x_list, y_list, 'b--', alpha=0.5, label='目标轨迹')
line, = ax.plot([], [], 'r-o', lw=3, ms=6, label='机械臂')
ax.legend()
ani = FuncAnimation(fig, draw_frame, frames=len(x_list),
interval=50, blit=True, repeat=False)
plt.show()
# --- 执行并记录 ---
print("开始执行轨迹S型速度 + 五次插值)...")
time_log, theta1_log, theta4_log, x_fk_log, y_fk_log = execute_smooth_trajectory(
x_list, y_list,
total_time=8.0,
kp=50.0, kd=1.0, dt=0.001
)
# --- 绘制关节角度 ---
fig2, (ax1, ax2) = plt.subplots(2, 1, figsize=(10, 6), sharex=True)
ax1.plot(time_log, theta1_log, 'b-o', markersize=3, linewidth=1.5, label='θ₁ (电机1)')
ax1.set_ylabel('关节角 θ₁ (°)')
ax1.set_title('电机关节角度随时间变化')
ax1.grid(True, alpha=0.5)
ax1.legend()
ax2.plot(time_log, theta4_log, 'r-o', markersize=3, linewidth=1.5, label='θ₄ (电机2)')
ax2.set_xlabel('时间 (秒)')
ax2.set_ylabel('关节角 θ₄ (°)')
ax2.grid(True, alpha=0.5)
ax2.legend()
plt.tight_layout()
plt.show()
# --- FK 验证 ---
fig3, ax3 = plt.subplots(figsize=(10, 8))
ax3.plot(x_list, y_list, 'b--', linewidth=2, label='目标轨迹', alpha=0.8)
ax3.plot(x_fk_log, y_fk_log, 'g-', linewidth=2, marker='o', markersize=3, label='FK 重建轨迹', alpha=0.7)
ax3.scatter(x_fk_log[0], y_fk_log[0], c='green', s=100, marker='s', label='起点')
ax3.scatter(x_fk_log[-1], y_fk_log[-1], c='red', s=100, marker='x', label='终点')
ax3.set_xlabel('X (mm)')
ax3.set_ylabel('Y (mm)')
ax3.set_title('FK 验证:目标 vs 实际轨迹')
ax3.grid(True, alpha=0.5)
ax3.legend()
ax3.set_aspect('equal')
plt.tight_layout()
plt.show()
# --- 误差统计 ---
mask = ~np.isnan(x_fk_log) & ~np.isnan(y_fk_log)
x_fk_valid = np.array(x_fk_log)[mask]
y_fk_valid = np.array(y_fk_log)[mask]
if len(x_fk_valid) == 0:
print("【警告】FK 数据全为 nan无法计算误差")
return
t_target = np.linspace(0, 1, len(x_list))
t_fk = np.linspace(0, 1, len(x_fk_valid))
from scipy.interpolate import interp1d
try:
f_x = interp1d(t_fk, x_fk_valid, kind='linear', fill_value='extrapolate')
f_y = interp1d(t_fk, y_fk_valid, kind='linear', fill_value='extrapolate')
x_interp = f_x(t_target)
y_interp = f_y(t_target)
errors = np.sqrt((x_interp - x_list)**2 + (y_interp - y_list)**2)
print("\n=== FK 验证误差统计 ===")
print(f"平均误差: {np.mean(errors):.3f} mm")
print(f"最大误差: {np.max(errors):.3f} mm")
print(f"标准差: {np.std(errors):.3f} mm")
except Exception as e:
print(f"误差计算失败: {e}")
# --- 角度范围 ---
print("\n=== 关节角度范围统计 ===")
print(f"θ₁ 范围: {min(theta1_log):.2f}° ~ {max(theta1_log):.2f}°")
print(f"θ₄ 范围: {min(theta4_log):.2f}° ~ {max(theta4_log):.2f}°")
# ------------------------ 主函数 ------------------------
if __name__ == "__main__":
try:
init_motors()
# 选择轨迹
trajectory_config = {
'func': line_trajectory_fix,
'params': {'start': (25, 300), 'end': (200, 300), 'num_points': 100}
}
# 示例:圆形轨迹
# trajectory_config = {
# 'func': circle_trajectory,
# 'params': {'center': (100, 300), 'radius': 40, 'num_points': 100}
# }
run_trajectory_with_animation(trajectory_config['func'], **trajectory_config['params'])
except KeyboardInterrupt:
print("\n【用户中断】")
except Exception as e:
print(f"程序异常: {e}")
finally:
if not DEBUG_MODE:
motor_control.disable(motor1)
motor_control.disable(motor2)
print("电机已停机。")
else:
print("【DEBUG】程序结束")