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synced 2026-09-10 12:21:16 +08:00
improve the comment and add the end-effector F/T info plotting file
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@@ -1,6 +1,11 @@
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#!/usr/bin/env python
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# -*- coding: utf-8 -*-
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"""Inverse kinematics with the Kuka robot where the goal is to follow a moving sphere.
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"""
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The task is to track the force along z axis (vertical to the table) by employing admittance control, meanwhile tracking
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a circle trajectory on the xy plane. And the end-effector's target position is visualized by a sphere.
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Reference:
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[1] SONG, Peng; YU, Yueqing; ZHANG, Xuping. A tutorial survey and comparison of impedance control on robotic manipulation
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. Robotica, 2019, 37.5: 801-836.
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"""
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import numpy as np
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@@ -11,7 +16,7 @@ from pyrobolearn.worlds import BasicWorld
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from pyrobolearn.robots import KukaIIWA, Body, sensors
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from pyrobolearn.utils.transformation import *
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from simulate_test_ur.plotting_ee_FT import EeFtRealTimePlot
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from plotting_ee_FT import EeFtRealTimePlot
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from threading import Thread
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@@ -27,7 +32,9 @@ def plotting_thread(plot):
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# Manipulate the whole process
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# The sphere is used to visualize the reference trajectory, So I creat the sphere trajectory as the reference
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def manipulator_thread(world, robot, sphere, FT_sensor):
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# First step is to arrive the initial position
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"""
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First step: is to arrive the initial position
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"""
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for t in count():
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# move sphere
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sphere.position = np.array([0.36, 0, 0.8])
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@@ -62,9 +69,12 @@ def manipulator_thread(world, robot, sphere, FT_sensor):
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break
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# step in simulation
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world.step(sleep_dt=dt)
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"""
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Second step: From the initial pose, Move vertically downward
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until end-effector touches the desktop with a force of 10N
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"""
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for t in count():
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Fz_desired = 10
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Fz_desired = 10 # the threhold of the contact force with table
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# move sphere
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sphere.position = np.array([0.36, 0, 0.8-0.0005*t])
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@@ -104,12 +114,17 @@ def manipulator_thread(world, robot, sphere, FT_sensor):
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sp_z = []
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num = []
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detx = np.array([0.0, 0.0, 0.0])
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"""
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Third step to keep the target force along z axis(vertical to the table),
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and complete circular motion trajectory on plane xy
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"""
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circle_center = np.array([0.46, 0]) # the center of the trajectory
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for t in count():
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Fz_desired = 100
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Fz_desired = 100 # desired force
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# move sphere
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if t == 0:
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z = robot.get_link_world_positions(link_id)[2]
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sphere.position = np.array([0.46 - r * np.sin(w * t + np.pi / 2), r * np.cos(w * t + np.pi / 2), z])
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sphere.position = np.array([circle_center[0] - r * np.sin(w * t + np.pi / 2), circle_center[1] + r * np.cos(w * t + np.pi / 2), z])
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# get current end-effector position and velocity in the task/operational space
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x = robot.get_link_world_positions(link_id)
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@@ -130,15 +145,13 @@ def manipulator_thread(world, robot, sphere, FT_sensor):
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Jp = robot.get_damped_least_squares_inverse(J, damping)
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# Apply the admittance control
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Fz_current = FT_sensor.sense()[2] # record the current Fz
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Fz_error = Fz_current - Fz_desired # record the current error
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# set the M\D\K parameters by heuristic method, these parameters may have a good result
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M = 1
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D = 9500
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K = 500000
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# Refer the formula in this article
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# [1] SONG, Peng; YU, Yueqing; ZHANG, Xuping. A tutorial survey and comparison of impedance control on robotic manipulation. Robotica, 2019, 37.5: 801-836.
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# Refer the formula (33) in this article [1]
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# the formula is theta_x(k) = Fc(k)*Ts^2+Bd*Ts*theta_x(k-1)+Md*(2*theta_x(k-1)-theta_x(k-2))/(Md+Bd*Ts+Kd*Ts^2)
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numerator = Fz_error * np.square(dt) + D * dt * detx[1] + M * (2 * detx[1] - detx[2])
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denominator = M + D*dt + K*np.square(dt)
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@@ -150,8 +163,8 @@ def manipulator_thread(world, robot, sphere, FT_sensor):
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zzz = sphere.position[2] + detx[0]
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# (0.46,0) is the the centre of the circle trajectory on the table
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sphere.position = np.array([0.46 - r * np.sin(w * t + np.pi / 2), r * np.cos(w * t + np.pi / 2), zzz])
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# circle_center the the centre of the circle trajectory on the table
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sphere.position = np.array([circle_center[0] - r * np.sin(w * t + np.pi / 2), circle_center[1] + r * np.cos(w * t + np.pi / 2), zzz])
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dv = kp * (sphere.position - x) - kd * dx # compute the other direction tracking error term
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@@ -171,7 +184,10 @@ def manipulator_thread(world, robot, sphere, FT_sensor):
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break
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# step in simulation
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world.step(sleep_dt=dt)
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plt.plot(num, sp_z)
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plt.plot(num, sp_z) # plot the position on the z axis
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plt.xlabel("timesteps")
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plt.ylabel("vertical position")
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plt.title("The z axis position during the task")
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plt.show()
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@@ -0,0 +1,216 @@
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#!/usr/bin/env python
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# -*- coding: utf-8 -*-
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__author__ = "Boyang Ti"
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__copyright__ = "Copyright 2020, PyRoboLearn"
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__credits__ = ["Boyang Ti"]
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__license__ = "GNU GPLv3"
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__version__ = "1.0.0"
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__maintainer__ = "Boyang Ti"
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__email__ = "tiboyang@outlook.com"
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__status__ = "Development"
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from pyrobolearn.utils.plotting.plot import RealTimePlot
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import pyrobolearn as prl
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import numpy as np
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from pyrobolearn.utils.transformation import *
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from pyrobolearn.robots import Body
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class EeFtRealTimePlot(RealTimePlot):
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def __init__(self, robot, sensor, forcex=False, forcey=False, forcez=False, torquex=False,
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torquey=False, torquez=False, num_point=100, xlims=None, ylims=None,
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suptitle='End effector Force and Torque', ticks=1, blit=True, interval=0.0001):
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"""
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初始化实时绘制的机械臂的相关配置
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参数:
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robot: 所创造的机械臂实体
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force: 如果为真则绘制力信息
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torque: 如果为真则绘制力矩信息
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num_point: 保持多少个点在实时的绘制坐标系下
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xlims: x轴的限制
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ylims: y轴的限制
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suptitle: 图的标题
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ticks: 采样实时点的时间步间隔
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blit: 如果为真只更新数据内容不会改变标注等内容
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interval: 在不同frame之间的延迟单位mm
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"""
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# 设置机器人实例
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if not isinstance(robot, prl.robots.Robot):
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raise TypeError("Expecting the given 'robot' to be an instance of `Robot`, but got instead: "
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"{}".format(robot))
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if not isinstance(sensor, prl.robots.sensors.JointForceTorqueSensor):
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raise TypeError("Expecting the given 'sensor' to be an instance of `sensor`, but got instead: "
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"{}".format(sensor))
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self._robot = robot
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self._sensor = sensor
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self.axis_ids = ['Force', 'Torque']
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# 设置图像布局
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nrows, ncols = 1, 1
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# 设置我们所需要绘制的参数
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self._plot_Fx = bool(forcex)
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self._plot_Fy = bool(forcey)
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self._plot_Fz = bool(forcez)
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self._plot_Tx = bool(torquex)
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self._plot_Ty = bool(torquey)
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self._plot_Tz = bool(torquez)
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states = np.array([self._plot_Fx, self._plot_Fy, self._plot_Fz, self._plot_Tx, self._plot_Ty, self._plot_Tz])
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self._num_states = len(states[states])
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if len(self.axis_ids) == 0:
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raise ValueError("Expecting to plot at least something (force or torque)")
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if len(self.axis_ids) == 1:
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ncols = 1
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else:
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ncols = 2
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# 设置点
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self._num_points = num_point if num_point > 10 else 10
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# 检查x和y的极限
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if xlims is None:
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xlims = (0, self._num_points)
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if ylims is None:
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ylims = (-2000, 2000)
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super(EeFtRealTimePlot, self).__init__(nrows=nrows, ncols=ncols, xlims=xlims, ylims=ylims,
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titles=['Force', 'Torque'],
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suptitle=suptitle, ticks=ticks, blit=blit, interval=interval)
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def _init(self, axes):
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"""
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初始化图像在每个轴下创造线
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:param axes:
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:return:
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"""
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self._lines = []
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for i, axis_ids in enumerate(['Force', 'Torque']):
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axes[0].legend(loc='upper left')
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axes[1].legend(loc='upper left')
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if self._plot_Fx:
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line, = axes[0].plot([], [], lw=self._linewidths[i], color='r', label='Fx')
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self._lines.append(line)
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if self._plot_Fy:
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line, = axes[0].plot([], [], lw=self._linewidths[i], color='y', label='Fy')
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self._lines.append(line)
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if self._plot_Fz:
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line, = axes[0].plot([], [], lw=self._linewidths[i], color='g', label='Fz')
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self._lines.append(line)
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if self._plot_Tx:
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line, = axes[1].plot([], [], lw=self._linewidths[i], color='m', label='Tx')
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self._lines.append(line)
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if self._plot_Ty:
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line, = axes[1].plot([], [], lw=self._linewidths[i], color='k', label='Ty')
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self._lines.append(line)
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if self._plot_Tz:
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line, = axes[1].plot([], [], lw=self._linewidths[i], color='b', label='Tz')
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self._lines.append(line)
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self._x = []
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length = len(self.axis_ids) * self._num_states
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self._ys = [[] for _ in range(length)]
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def _init_anim(self):
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"""
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Init function (plot the background of each frame) that is passed to FuncAnimation. This has to be
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implemented in the child class.
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:return:
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"""
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for line in self._lines:
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line.set_data([], [])
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return self._lines
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def _set_line(self, line_idx, data, state_name):
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"""
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设置新的数据的来划线
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:param axis_idx: joint index
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:param line_idx: line index
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:param data: data sent through the pipe
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:param state_name: name of the state; select from Fx, Fy, Fz, Tx, Ty, Tz
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:return:
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"""
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self._ys[line_idx].append(data[state_name])
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self._ys[line_idx] = self._ys[line_idx][-self._num_points:]
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self._lines[line_idx].set_data(self._x, self._ys[line_idx])
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line_idx += 1
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return line_idx
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def _animate_data(self, i, data):
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"""
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Animate function that is passed to FuncAnimation. This has to be implemented in the child class.
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:param i: frame counter
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:param data: data that has been received from the pipe
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:return: list of object to update
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"""
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if len(self._x) < self._num_points:
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self._x = range(len(self._x) + 1)
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k = 0
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for j in range(len(self.axis_ids)):
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if self._plot_Fx:
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k = self._set_line(line_idx=k, data=data, state_name='Fx')
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if self._plot_Fy:
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k = self._set_line(line_idx=k, data=data, state_name='Fy')
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if self._plot_Fz:
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k = self._set_line(line_idx=k, data=data, state_name='Fz')
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if self._plot_Tx:
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k = self._set_line(line_idx=k, data=data, state_name='Tx')
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if self._plot_Ty:
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k = self._set_line(line_idx=k, data=data, state_name='Ty')
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if self._plot_Tz:
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k = self._set_line(line_idx=k, data=data, state_name='Tz')
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return self._lines
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def _update(self):
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"""
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This return the next data to be plotted; this has to be implemented in the child class.
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:return:data to be sent through the pipe and that have to be plotted. This will be given to `_animate_data`.
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"""
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data = {}
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if self._sensor.sense() is None:
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data['Fx'] = 0
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data['Fy'] = 0
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data['Fz'] = 0
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data['Tx'] = 0
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data['Ty'] = 0
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data['Tz'] = 0
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return data
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if self._plot_Fx:
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data['Fx'] = self._sensor.sense()[0]
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if self._plot_Fy:
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data['Fy'] = self._sensor.sense()[1]
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if self._plot_Fz:
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data['Fz'] = self._sensor.sense()[2]
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if self._plot_Tx:
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data['Tx'] = self._sensor.sense()[3]
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if self._plot_Ty:
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data['Ty'] = self._sensor.sense()[4]
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if self._plot_Tz:
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data['Tz'] = self._sensor.sense()[5]
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return data
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if __name__ == '__main__':
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# Try to move the robot in the simulator
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# WARNING: DON'T FORGET TO CLOSE FIRST THE FIGURE THEN THE SIMULATOR OTHERWISE YOU WILL HAVE THE PLOTTING PROCESS
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# STILL RUNNING
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from itertools import count
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sim = prl.simulators.Bullet()
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world = prl.worlds.BasicWorld(sim)
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robot = world.load_robot('kuka_iiwa')
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box = world.load_visual_box(position=[0.7, 0., 0.2], orientation=get_quaternion_from_rpy([0, 1.57, 0]),
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dimensions=(0.2, 0.2, 0.2))
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box = Body(sim, body_id=box)
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sensor = prl.robots.sensors.JointForceTorqueSensor(sim, body_id=robot.id, joint_ids=5)
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plot = EeFtRealTimePlot(robot, sensor=sensor, forcex=True, forcey=True, forcez=True,
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torquex=True, torquey=True, torquez=True, ticks=24)
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for t in count():
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plot.update()
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world.step(sim.dt)
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