东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (4): 476-480.DOI: -

• 论著 • 上一篇    下一篇

区间时滞系统的非脆弱鲁棒H_∞控制

马大中;王占山;冯健;   

  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 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(60774093);;

Non-fragile robust H∞ control for linear systems with interval time-varying delay

Ma, Da-Zhong (1); Wang, Zhan-Shan (1); Feng, Jian (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Ma, D.-Z.
  • About author:-
  • Supported by:
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摘要： 针对一类时滞是时变的且属于一个已知区间的线性系统,提出了一种新的Lyapunov-Krasovskii函数分析方法,分析区间时滞线性系统的稳定性,并设计了非脆弱鲁棒H∞控制器.设计的非脆弱鲁棒H∞控制器不仅可以保证时滞系统是渐近稳定的,同时可以满足所给定的H∞性能指标.非脆弱鲁棒H∞控制器可以通过线性矩阵不等式方法获得.仿真例子验证了该方法的有效性.

关键词: 区间时滞, 非脆弱, 鲁棒控制, 线性矩阵不等式

Abstract: For time-varying delay linear systems with intervals, a new Lyapunov-Krasovskii method was presented to analyze the stability of linear systems with interval time-varying delay, and design a non-fragile robust H∞ controller. The non-fragile robust H∞ controller guaranteed the time-delay systems were asymptotically stable and satisfied a prescribed H∞ performance level. The non-fragile robust H∞ controller of linear systems with interval time-varying delay can be solved by linear matrix inequality (LMI). The effectiveness of the proposed design method was verified by simulation examples.

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