东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2007, Vol. 28 ›› Issue (9): 1217-1220.DOI: -

• 论著 •    下一篇

不确定多时滞切换混杂系统的鲁棒控制器设计

杨德东;张化光;   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-09-15 发布日期:2013-06-24
  • 通讯作者: Yang, D.-D.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60325311;60534010;6057207;060521003);;

Robust controller design of uncertain multi-delay switched hybrid systems

Yang, De-Dong (1); Zhang, Hua-Guang (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-09-15 Published:2013-06-24
  • Contact: Yang, D.-D.
  • About author:-
  • Supported by:
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摘要： 讨论了一类不确定多时滞切换混杂系统在任意切换条件下鲁棒渐近稳定的问题,提出了在给定L2增益的情况下系统能够保持鲁棒渐近稳定的充分条件,并采用线性矩阵不等式的形式进行描述.利用公共李雅普诺夫方法研究了不确定多时滞切换混杂系统的鲁棒镇定问题,设计了状态反馈控制器,保证了具有给定L2增益的切换系统在任意切换条件下的鲁棒渐近稳定性质,通过算例验证了所提出方法的有效性.定理中的条件均由线性矩阵不等式得出,易于工程实现.

关键词: 不确定多时滞切换混杂系统, 鲁棒渐近稳定, L2增益, 线性矩阵不等式(LMI), 状态反馈

Abstract: The problem of robustly asymptotic stability for a class of uncertain multi-delay switched hybrid systems is discussed on the arbitrarily switched condition. The sufficient condition that such a system can keep up its robustly asymptotic stability if the L2 gain is given is put forward, which is described by linear matrix inequality. The robust stabilization problem of switched hybrid system is studied by using common Lyapunov function and the state feedback controller is designed. The robustly asymptotic stability in this system with the known L2 gain is thus guaranteed on the arbitrarily switched condition. The validity of the method proposed is verified by numerical examples.

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