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基于线性矩阵不等式空间遥操作系统的鲁棒H_∞控制
Robust H_∞ Control for Space Teleoperation Systems Based on Linear Matrix Inequality

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杨艳华 1 *   阳方平 1   化建宁 2   李洪谊 1  
文摘 针对具有力反馈空间遥操作系统的时变大时延和环境模型参数不确定问题,提出一种基于线性矩阵不等式(Linear matrix inequality, LMI)的鲁棒H_∞控制方法。对于回路时延是未知时变的遥操作系统,该方法只需要已知时延的上下界,可以解决环境模型参数不确定问题,并获得良好的位置和力跟踪性能。将主从端的动力学模型转化成相应的状态空间方程,并将其离散化、合并为一个离散状态空间方程;然后根据该系统方程,基于LMI方法设计状态反馈控制器,通过定义Lyapunov函数分析闭环系统的稳定性,并且分别给出在环境模型参数确定和不确定情况下,使得闭环系统渐近稳定且满足给定位置跟踪性能的充分条件;仿真试验结果表明所提出的方法可使得遥操作系统渐进稳定且具有好的位置和力跟踪性能。
其他语种文摘 A robust H_∞ control method based on linear matrix inequality (LMI) is proposed for force feedback space teleoperation systems with large time-varying delays and the uncertainty of the environment model parameters. This method only needs to know the bounds of the delay interval for teleoperation systems with unknown and variable round trip time delays. It also can solve the problem that the parameters of the environment are uncertain and obtain good position and force tracking performances. The master and slave dynamics are respectively transformed to state space equations, and they are incorporated to a uniform form, which is discretized in succession. A state-feedback controller is designed for the whole systems based on LMI method; the stability of the closed-loop system is analyzed by defining a Lyapunov function; and sufficient conditions for the controller are presented which enable the closed-loop system to be asymptotic stability as well as guarantee a prescribed position tracking performance under the cases that the parameters of the environment are certain or uncertain. Simulation results demonstrate that the proposed method enables the teleoperation system not only asymptotic stability, but also taking on good position and force tracking performances.
来源 机械工程学报 ,2013,49(11):1-7 【核心库】
DOI 10.3901/jme.2013.11.001
关键词 空间遥操作 ; 大时延 ; 不确定 ; 线性矩阵不等式 ; H_∞控制
地址

1. 中国科学院沈阳自动化研究所, 机器人学国家重点实验室, 沈阳, 110016  

2. 东北大学信息科学与工程学院, 沈阳, 110014

语种 中文
文献类型 研究性论文
ISSN 0577-6686
学科 自动化技术、计算机技术
基金 国家自然科学基金资助项目
文献收藏号 CSCD:4863485

参考文献 共 18 共1页

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引证文献 1

1 刘卫东 水下机械手主从遥操作双边控制策略 西北工业大学学报,2016,34(1):53-59
被引 1

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