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 (12): 1677-1680.DOI: -

• 论著 • 上一篇    下一篇

一类不确定时滞切换系统的非脆弱H_∞控制

李春吉;陈霞;   

  1. 东北大学理学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(11171301)

Non-fragile H∞ control for a class of uncertain time-delay switched systems

Li, Chun-Ji (1); Chen, Xia (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Chen, X.
  • About author:-
  • Supported by:
    -

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摘要： 讨论了一类不确定时滞切换系统在特定切换条件下的非脆弱状态反馈的H∞控制问题.主要利用凸组合技术、公共Lyapunov函数及线性矩阵不等式等方法,给出了在不确定时滞切换系统中存在非脆弱状态反馈控制器并且满足H∞性能指标γ的充分条件.最后给出了仿真算例,验证了其结果的有效性.定理的条件是以线性矩阵不等式形式给出的,因此便于工程实现.

关键词: 不确定, 时滞, 切换系统, H∞控制, 非脆弱状态反馈, 线性矩阵不等式

Abstract: The problem of non-fragile state feedback H∞ control for a class of uncertain time-delay switched systems was discussed on the particularly switched condition. Based on the common Lyapunov function, convex combination technique and linear matrix inequality, the sufficient condition for the existence of non-fragile state feedback controller was given, and this condition also met the H∞ performance index. In the end, the simulation example was given to verify the effectiveness of the proposed method. The condition of the theorem in the form of linear matrix inquality was put forward, which is easy to realize in practice.

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