东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2014, Vol. 35 ›› Issue (3): 309-313.DOI: 10.12068/j.issn.1005-3026.2014.03.002

• 信息与控制 • 上一篇    下一篇

不确定时滞离散切换广义系统的鲁棒H∞控制

杨冬梅，孟新全   

  1. (东北大学 理学院， 辽宁 沈阳110819)
  • 收稿日期:2013-06-21 修回日期:2013-06-21 出版日期:2014-03-15 发布日期:2013-11-22
  • 通讯作者: 杨冬梅
  • 作者简介:杨冬梅(1966-)，女，辽宁沈阳人，东北大学教授.
  • 基金资助:
    辽宁省自然科学基金资助项目(20102058).

Robust H∞Control for DiscreteTime Switched Singular Systems with NormBounded Uncertainties and TimeDelay

YANG Dongmei， MENG Xinquan   

  1. School of Sciences， Northeastern University， Shenyang 110819， China.
  • Received:2013-06-21 Revised:2013-06-21 Online:2014-03-15 Published:2013-11-22
  • Contact: YＡＮＧ Dongmei
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摘要： 研究了一类具有不确定性和时滞依赖的离散切换广义系统的鲁棒H∞控制问题.首先，基于线性矩阵不等式基础，结合完备性理论，利用多Lyapunov函数方法，在适当的切换规则作用下，给出了这类系统对于所有容许的不确定性，鲁棒镇定且具有H∞范数界的充分条件；然后基于此条件，通过设计相应的状态反馈子控制器，得到了保证闭环系统鲁棒稳定且具有H∞范数界的时滞依赖条件.数值算例表明了该方法的有效性.

关键词: 切换系统, 广义系统, 离散系统, 鲁棒控制, 多Lyapunov函数

Abstract: The problem of robust H∞control for a class of discretetime singular systems with normbounded uncertainties and delaydependent was investigated. Firstly， based on linear matrix inequality(LMI)， combined with complete theory， by means of the multiple Lyapunov function method， under the appropriate switching rules， a sufficient condition was proposed for the problem to be solvable with all admissible uncertainties state delay; then， based on this condition， a delaydependent sufficient condition was proposed by designing the corresponding subcontrollers， such that the closedloop system was guaranteed robust stable and had H∞performance. Numerical examples show that the method is effective.

Key words: switched systems, singular systems, discretetime systems, robust control, multiple Lyapunov function

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