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 (4): 469-472.DOI: -

• 论著 • 上一篇    下一篇

具有时变时滞的离散切换系统的鲁棒H_∞控制

宋政一;聂宏;赵军;   

  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;东北大学信息科学与工程学院 辽宁沈阳110004;辽宁沈阳110004;辽宁石油化工大学理学院;辽宁抚顺113001;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-04-15 发布日期:2013-06-24
  • 通讯作者: Song, Z.-Y.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574013);;

Robust H∞ control for discrete switched systems with time-varying delays

Song, Zheng-Yi (1); Nie, Hong (1); Zhao, Jun (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (2) School of Sciences, Liaoning University of Petroleum and Chemical Technology, Fushun 113001, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-04-15 Published:2013-06-24
  • Contact: Song, Z.-Y.
  • About author:-
  • Supported by:
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摘要： 利用多Lyapunov函数方法,研究一类具有时变时滞的线性离散切换系统的鲁棒H∞控制问题.在每个子系统都不能实现鲁棒H∞控制的假设条件下,基于切换状态反馈控制策略,给出了系统实现鲁棒H∞控制的充分条件,且这一条件可以表示成与时滞界相关的线性矩阵不等式(LMI)的形式,还分别给出了切换律和鲁棒H∞切换控制器的设计方案,并讨论了时滞界与H∞性能的关系.最后的仿真例子表明了结论的有效性.

关键词: 线性离散切换系统, 时变时滞, 鲁棒H∞控制, 多Lyapunov函数, 线性矩阵不等式(LMI)

Abstract: The multiple Lyapunov function is used to study the robust H∞ control of a class of linear discrete switched systems with time-varying/delaying uncertainties. Assuming that the H∞ control cannot be implemented in each individual subsystem and based on switching state feedback control, a delay-dependent and LMI (linear matrix inequalities)-based sufficient condition is given for the system implementation of robust H∞ control. In addition, the designs of switching law and robust H∞ controller are given, with the relationship between time-delay bound and H∞ performance discussed. A simulation example is given to show the validity of the results.

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