引用本文:刘华山,金元林,程新,王泽宇,齐洁,刘洋.力矩输入有界的柔性关节机器人轨迹跟踪控制[J].控制理论与应用,2019,36(6):983~992.[点击复制]
LIU Hua-shan,JIN Yuan-lin,CHENG Xin,WANG Ze-yu,QI Jie,LIU Yang.Trajectory tracking control for flexible-joint robot manipulators with bounded torque inputs[J].Control Theory and Technology,2019,36(6):983~992.[点击复制]
力矩输入有界的柔性关节机器人轨迹跟踪控制
Trajectory tracking control for flexible-joint robot manipulators with bounded torque inputs
摘要点击 2639  全文点击 914  投稿时间：2018-03-23  修订日期：2018-09-14
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DOI编号  10.7641/CTA.2018.80200
  2019,36(6):983-992
中文关键词  机器人，柔性关节，轨迹跟踪，有界控制，奇异摄动
英文关键词  robot  flexible joint  trajectory tracking  bounded control  singular perturbation
基金项目  国家自然科学基金
作者单位E-mail
刘华山 东华大学 watson683@163.com 
金元林 东华大学  
程新 东华大学  
王泽宇 东华大学  
齐洁 东华大学  
刘洋* 东华大学 liuyang@dhu.edu.cn 
中文摘要
      为解决柔性关节机器人在关节驱动力矩输出受限情况下的轨迹跟踪控制问题, 提出一种基于奇异摄动 理论的有界控制器. 首先, 利用奇异摄动理论将柔性关节机器人动力学模型解耦成快、慢两个子系统. 然后, 引入 一类平滑饱和函数和径向基函数神经网络非线性逼近手段, 依据反步策略设计了针对慢子系统的有界控制器. 在 快子系统的有界控制器设计中, 通过关节弹性力矩跟踪误差的滤波处理加速系统的收敛. 同时, 在快、慢子系统控 制器中均采用模糊逻辑实现控制参数的在线动态自调整. 此外, 结合李雅普诺夫稳定理论给出了严格的系统稳定 性证明. 最后, 通过仿真对比实验验证了所提出控制方法的有效性和优越性.
英文摘要
      In order to solve the problem of trajectory tracking control for flexible-joint robot manipulators with limited output torque, a bounded controller based on singular perturbation theory is proposed. Firstly, the dynamics model of the flexible-joint robot manipulator is transformed into a fast subsystem and a slow subsystem by singularly perturbed decoupling method. Then, invoking a class of smooth saturation function and radial basis function neural network for nonlinear approximation, a bounded controller for the slow subsystem is designed by the back-stepping method. On the other side, in the bounded controller design for the fast subsystem, the convergence of the system is accelerated by filtering the tracking error of the joint elastic torque. At the same time, the fuzzy logic is used in the controllers for the fast and slow subsystems to realize the online dynamic self-tuning of control gains. In addition, the strict stability of system is proved with the Lyapunov stability theory. Finally, simulation results verify the effectiveness and superiority of the proposed approach.