A novel approach to prove the stability of PD control with feedforward compensation in robotic trajectory tracking

Xinchun Li, J. Yi, Dongbin Zhao, Zuoshi Song
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Abstract

In the present paper, we propose a novel approach to prove the stability of PD control with feedforward compensation in trajectory-tracking of robot manipulator. Based on the state equation of robot manipulator, a new simple Lyapunov Function is constructed, with which the stability of the controller is proved. In addition, the way to select the proportional and derivative gains is also given. Simulation tests are included, with reference to a planar two-link manipulator.
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一种证明机器人轨迹跟踪中前馈补偿PD控制稳定性的新方法
在本文中,我们提出了一种新的方法来证明具有前馈补偿的PD控制在机器人机械手轨迹跟踪中的稳定性。基于机器人的状态方程,构造了一个新的简单Lyapunov函数,并用该函数证明了控制器的稳定性。此外,还给出了比例增益和导数增益的选择方法。以平面双连杆机械臂为例,进行了仿真试验。
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