东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 0, Vol. ›› Issue (): 153-156.DOI: -

• 论著 • 上一篇    下一篇

转移概率部分已知的Markov跳变系统鲁棒H_2控制

叶丹;范泉涌;   

  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
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(61273155);;

Robust H2 control for uncertain Markov jump linear systems with partly known transition rates

Ye, Dan (1); Fan, Quan-Yong (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19
  • Contact: Ye, D.
  • About author:-
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摘要： 研究一类具有多胞型不确定性的Markov跳变连续时间系统的鲁棒H2控制问题.这类系统跳跃过程中的转移概率包括完全已知、未知但已知转移概率的上下界和完全未知三种情况.首先针对此类Markov跳变系统,基于参数依赖型Lyapunov函数给出新的鲁棒稳定性判据,然后在线性矩阵不等式的框架下得到相应的鲁棒H2控制器设计方法.数值仿真算例验证了本方法的有效性.

关键词: Markov跳变系统, 部分已知转移概率, 不确定性, H2控制, 线性矩阵不等式

Abstract: The robust H2 control problem for a class of continuous-time Markov jump linear systems with polytopic-type parameter uncertainty was investigated. The considered transition probabilities includes completely known case, partly unknown with known lower and upper bounds case and completely unknown case. Firstly, based on the parameter-dependent Lyapunov function, new stability condition for this kind of uncertain Markov jump systems was derived. And then, the corresponding robust H2 controller design method was proposed in the framework of linear matrix inequalities. Finally, numerical examples were given to demonstrate the effectiveness of the proposed method.

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