东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2012, Vol. 33 ›› Issue (11): 1529-1532.DOI: -

• 论著 • 上一篇    下一篇

基于滑动扇区的马尔科夫跳变系统的变结构控制

沈谋全;郑柏超;王明顺;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-01-25
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金青年基金资助项目(61104015);;

Sliding sector-based variable structure control for Markov jump system

Shen, Mou-Quan (1); Zheng, Bo-Chao (1); Wang, Ming-Shun (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-01-25
  • Contact: Shen, M.-Q.
  • About author:-
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摘要： 针对一类带有不确定性的马尔科夫跳变连续时间线性系统,给出一种基于滑动扇区方法的变结构控制策略,该控制策略能够实现闭环系统二次稳定.首先给出马尔科夫跳变系统的滑动扇区的定义,进一步给出一种基于线性矩阵不等式(LMI)技术的滑动扇区的设计方法,并通过理论证明设计的控制律能够使得马尔科夫跳变不确定系统二次稳定.数值仿真算例验证了控制方案的有效性.

关键词: 马尔科夫跳变, 变结构控制, 滑动扇区, 二次稳定

Abstract: For a class of continuous-time Markov jump linear uncertain systems, a variable structure control strategy was design to achieve quadratic stability based on sliding sector methods. The definition of the sliding sector for Markov jump system was firstly presented, and then based on linear matrix inequality technique, the design method of the sliding sector for Markov jump linear system was given. Finally, the variable structure control strategy for Markov jump linear system was developed. It was proved that quadratic stability is obtained by using the proposed method, and result of a numerical simulation example indicated the efficiency of the developed stability.

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