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一类多体系统的非完整运动规划最优控制
引用本文:戈新生,陈立群,刘延柱.一类多体系统的非完整运动规划最优控制[J].工程力学,2006,23(3):63-68.
作者姓名:戈新生  陈立群  刘延柱
作者单位:1. 北京机械工业学院基础部,北京100085
2. 上海大学力学系,上海应用数学和力学研究所,上海200072
3. 上海交通大学工程力学系,上海,200030
摘    要:研究一类带有非完整约束的多体系统运动规划问题。由于非完整约束的存在,运动规划和控制问题比一般的多体系统要困难得多。讨论了非完整系统的特性及可控性条件,利用无限维优化和控制理论,结合非完整控制系统特性,以系统耗散能量为性能指标,给出一类非完整运动规划的最优数值方法。最后将该方法用于自由漂浮空间双臂机器人,仿真结果实现了该类非完整系统的运动规划。

关 键 词:多体系统  非完整约束  运动规划  最优控制  空间机器人
文章编号:1000-4750(2006)03-0063-06
收稿时间:2004-04-16
修稿时间:2004-04-162004-07-18

OPTIMAL CONTROL OF A NONHOLONOMIC MOTION PLANNING FOR MUTILBODY SYSTEMS
GE Xin-sheng,CHEN Li-qun,LIU Yan-zhu.OPTIMAL CONTROL OF A NONHOLONOMIC MOTION PLANNING FOR MUTILBODY SYSTEMS[J].Engineering Mechanics,2006,23(3):63-68.
Authors:GE Xin-sheng  CHEN Li-qun  LIU Yan-zhu
Affiliation:1. Basic Science Department, Beijing Institute of Machinery, Beijing 100085, China; 2. Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, China; 3. Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai 200030, China
Abstract:Nonholonomicity arises in many mechanical systems subjected to nonintegrable velocity constraints or nonintegrable conservation laws. Due to nonholonomic constraints, the motion planning and control of a nonholonomic mutilbody system is much more difficult than that of a conventional system. Nonholonomic characteristic and controllable condition are investigated using the infinite dimension optimization and the control theory, regarding the system’s dissipation energy as a target function and considering the nonholonomic characteristic, a numerical method for the nonholonmic motion planning without drift is proposed. The effectiveness of the numerical algorithm is demonstrated by numerical simulation.
Keywords:mutilbody system  nonholonomic constraint  motion planning  optimal control  space manipulator
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