中国机械工程 ›› 2010, Vol. 21 ›› Issue (03): 253-257.

• 机械基础工程 •    下一篇

基于李群李代数的主被动关节机器人动力学及控制

邵兵;吴洪涛;程世利;俞水强
  

  1. 南京航空航天大学,南京,210016
  • 出版日期:2010-02-10 发布日期:2010-03-08
  • 基金资助:
    国家自然科学基金资助项目(50375071);民用航天“十一五”预研项目 
    National Natural Science Foundation of China(No. 50375071)

Dynamics and Control of Robot with Active and Passive Joints Using Lie Groups and Lie Algebras

Shao Bing;Wu Hongtao;Cheng Shili;Yu Shuiqiang
  

  1. Nanjing University of Aeronautics and Astronautics, Nanjing, 210016
  • Online:2010-02-10 Published:2010-03-08
  • Supported by:
     
    National Natural Science Foundation of China(No. 50375071)

摘要:

采用李群李代数符号描述了含主被动关节机器人的动力学分析和控制问题。首先用李群李代数描述了机器人的反向动力学,然后将牛顿-欧拉方法和铰接体惯量方法结合起来,给出了含主被动关节的机器人动力学解决方法。利用动力学方法得到的结果,采用计算力矩控制方法进行仿真,并与PID控制方法的仿真结果进行比较,验证了计算力矩方法的较好的性能特征。

关键词:

Abstract:

Lie groups and Lie algebras were used to study the dynamics and control of robot system with active and passive joints. The inverse dynamics were described with Lie groups and Lie algebras. Then the Newton-Euler method and articulated body method were combined together to handle with the problems of the robot dynamics with active and passive joints. The computed torque control law was used to simulate with the results of dynamics. Compared with the simulation results of PID control law, the computed torque control law has better performance. 

Key words: robot dynamics, Lie groups and Lie algebras, active and passive joint, computed torque control law

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