东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2009, Vol. 30 ›› Issue (11): 1538-1541.DOI: -

• 论著 • 上一篇    下一篇

非线性无穷分布时滞系统的非脆弱控制

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:2013-06-22 修回日期:2013-06-22 出版日期:2009-11-15 发布日期:2013-06-22
  • 通讯作者: Ma, D.-Z.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60774093,60774048,60728307);;

Non-fragile control for nonlinear systems with infinitely distributed time-delay

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

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-11-15 Published:2013-06-22
  • Contact: Ma, D.-Z.
  • About author:-
  • Supported by:
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摘要： 针对一类带有非线性无穷分布时滞的系统,提出了一种非脆弱H∞控制器的设计方法.考虑了两种类型的控制器增益扰动:独立于控制器增益K和依赖于控制器增益K,并分别设计了非脆弱H∞控制器.设计的非脆弱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性能指标.建立的非脆弱H∞控制器的存在条件是时滞依赖的并且可以通过线性矩阵不等式方法获得.最后通过一个实例验证了该方法的有效性

关键词: 无穷分布时滞, 非脆弱控制, 时滞依赖, 线性矩阵不等式

Abstract: A design method of non-fragile controller is proposed for a class of nonlinear systems with infinitely distributed delay. Two typical kinds of disturbed gains in controller are considered, i.e., independent of and dependent on controller gain, then the non-fragile controllers are designed, respectively, to ensure that the time-delay systems is asymptotically stable and satisfy the preset performance indices. The existence condition of the non-fragile controller thus developed is delay-dependent, which is available to get through LMI. The effectiveness of the proposed design method was verified by a simulation example.

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