ex_1_ur5.py

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import time
 
import matplotlib.pyplot as plt
import numpy as np
import plot_utils as plut
 
# import ur5_conf as conf
import ur5_reaching_conf as conf
from numpy import nan
from numpy.linalg import norm as norm
from tsid_manipulator import TsidManipulator
 
print("".center(conf.LINE_WIDTH, "#"))
print(" TSID - Manipulator End-Effector Sin Tracking ".center(conf.LINE_WIDTH, "#"))
print("".center(conf.LINE_WIDTH, "#"))
print("")
 
PLOT_EE_POS = 1
PLOT_EE_VEL = 0
PLOT_EE_ACC = 0
PLOT_JOINT_VEL = 0
PLOT_TORQUES = 0
 
tsid = TsidManipulator(conf)
 
N = conf.N_SIMULATION
tau = np.empty((tsid.robot.na, N)) * nan
q = np.empty((tsid.robot.nq, N + 1)) * nan
v = np.empty((tsid.robot.nv, N + 1)) * nan
ee_pos = np.empty((3, N)) * nan
ee_vel = np.empty((3, N)) * nan
ee_acc = np.empty((3, N)) * nan
ee_pos_ref = np.empty((3, N)) * nan
ee_vel_ref = np.empty((3, N)) * nan
ee_acc_ref = np.empty((3, N)) * nan
ee_acc_des = np.empty((3, N)) * nan  # acc_des = acc_ref - Kp*pos_err - Kd*vel_err
 
sampleEE = tsid.trajEE.computeNext()
samplePosture = tsid.trajPosture.computeNext()
 
offset = sampleEE.pos()
offset[3:] = np.array([1.0, 0, 0, 0.0, 1, 0, 0.0, 0, 1])  # useless
offset[:3] += conf.offset
two_pi_f_amp = conf.two_pi_f * conf.amp
two_pi_f_squared_amp = conf.two_pi_f * two_pi_f_amp
 
pEE = offset.copy()
vEE = np.zeros(6)
aEE = np.zeros(6)
 
tsid.gui.addSphere("world/ee", conf.SPHERE_RADIUS, conf.EE_SPHERE_COLOR)
tsid.gui.addSphere("world/ee_ref", conf.REF_SPHERE_RADIUS, conf.EE_REF_SPHERE_COLOR)
 
t = 0.0
q[:, 0], v[:, 0] = tsid.q, tsid.v
 
for i in range(0, N):
    time_start = time.time()
 
    pEE[:3] = offset[:3] + conf.amp * np.sin(conf.two_pi_f * t + conf.phi)
    vEE[:3] = two_pi_f_amp * np.cos(conf.two_pi_f * t + conf.phi)
    aEE[:3] = -two_pi_f_squared_amp * np.sin(conf.two_pi_f * t + conf.phi)
    sampleEE.pos(pEE)
    sampleEE.vel(vEE)
    sampleEE.acc(aEE)
    tsid.eeTask.setReference(sampleEE)
 
    HQPData = tsid.formulation.computeProblemData(t, q[:, i], v[:, i])
    # if i == 0: HQPData.print_all()
 
    sol = tsid.solver.solve(HQPData)
    if sol.status != 0:
        print((f"Time {t:.3f} QP problem could not be solved! Error code:", sol.status))
        break
 
    tau[:, i] = tsid.formulation.getActuatorForces(sol)
    dv = tsid.formulation.getAccelerations(sol)
 
    ee_pos[:, i] = tsid.robot.framePosition(
        tsid.formulation.data(), tsid.EE
    ).translation
    ee_vel[:, i] = tsid.robot.frameVelocityWorldOriented(
        tsid.formulation.data(), tsid.EE
    ).linear
    ee_acc[:, i] = tsid.eeTask.getAcceleration(dv)[:3]
    ee_pos_ref[:, i] = sampleEE.pos()[:3]
    ee_vel_ref[:, i] = sampleEE.vel()[:3]
    ee_acc_ref[:, i] = sampleEE.acc()[:3]
    ee_acc_des[:, i] = tsid.eeTask.getDesiredAcceleration[:3]
 
    if i % conf.PRINT_N == 0:
        print(f"Time {t:.3f}")
        print(
            "\ttracking err {}: {:.3f}".format(
                tsid.eeTask.name.ljust(20, "."), norm(tsid.eeTask.position_error, 2)
            )
        )
 
    q[:, i + 1], v[:, i + 1] = tsid.integrate_dv(q[:, i], v[:, i], dv, conf.dt)
    t += conf.dt
 
    if i % conf.DISPLAY_N == 0:
        tsid.robot_display.display(q[:, i])
        tsid.gui.applyConfiguration("world/ee", [*ee_pos[:, i].tolist(), 0, 0, 0, 1.0])
        tsid.gui.applyConfiguration(
            "world/ee_ref", [*ee_pos_ref[:, i].tolist(), 0, 0, 0, 1.0]
        )
 
    time_spent = time.time() - time_start
    if time_spent < conf.dt:
        time.sleep(conf.dt - time_spent)
 
# PLOT STUFF
time = np.arange(0.0, N * conf.dt, conf.dt)
 
if PLOT_EE_POS:
    (f, ax) = plut.create_empty_figure(3, 1)
    for i in range(3):
        ax[i].plot(time, ee_pos[i, :], label="EE " + str(i))
        ax[i].plot(time, ee_pos_ref[i, :], "r:", label="EE Ref " + str(i))
        ax[i].set_xlabel("Time [s]")
        ax[i].set_ylabel("EE [m]")
        leg = ax[i].legend()
        leg.get_frame().set_alpha(0.5)
 
if PLOT_EE_VEL:
    (f, ax) = plut.create_empty_figure(3, 1)
    for i in range(3):
        ax[i].plot(time, ee_vel[i, :], label="EE Vel " + str(i))
        ax[i].plot(time, ee_vel_ref[i, :], "r:", label="EE Vel Ref " + str(i))
        ax[i].set_xlabel("Time [s]")
        ax[i].set_ylabel("EE Vel [m/s]")
        leg = ax[i].legend()
        leg.get_frame().set_alpha(0.5)
 
if PLOT_EE_ACC:
    (f, ax) = plut.create_empty_figure(3, 1)
    for i in range(3):
        ax[i].plot(time, ee_acc[i, :], label="EE Acc " + str(i))
        ax[i].plot(time, ee_acc_ref[i, :], "r:", label="EE Acc Ref " + str(i))
        ax[i].plot(time, ee_acc_des[i, :], "g--", label="EE Acc Des " + str(i))
        ax[i].set_xlabel("Time [s]")
        ax[i].set_ylabel("EE Acc [m/s^2]")
        leg = ax[i].legend()
        leg.get_frame().set_alpha(0.5)
 
if PLOT_TORQUES:
    (f, ax) = plut.create_empty_figure(int(tsid.robot.nv / 2), 2)
    ax = ax.reshape(tsid.robot.nv)
    for i in range(tsid.robot.nv):
        ax[i].plot(time, tau[i, :], label="Torque " + str(i))
        ax[i].plot([time[0], time[-1]], 2 * [tsid.tau_min[i]], ":")
        ax[i].plot([time[0], time[-1]], 2 * [tsid.tau_max[i]], ":")
        ax[i].set_xlabel("Time [s]")
        ax[i].set_ylabel("Torque [Nm]")
        leg = ax[i].legend()
        leg.get_frame().set_alpha(0.5)
 
if PLOT_JOINT_VEL:
    (f, ax) = plut.create_empty_figure(int(tsid.robot.nv / 2), 2)
    ax = ax.reshape(tsid.robot.nv)
    for i in range(tsid.robot.nv):
        ax[i].plot(time, v[i, :-1], label="Joint vel " + str(i))
        ax[i].plot([time[0], time[-1]], 2 * [tsid.v_min[i]], ":")
        ax[i].plot([time[0], time[-1]], 2 * [tsid.v_max[i]], ":")
        ax[i].set_xlabel("Time [s]")
        ax[i].set_ylabel("Joint velocity [rad/s]")
        leg = ax[i].legend()
        leg.get_frame().set_alpha(0.5)
 
plt.show()