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 (11): 1521-1524.DOI: -

• 论著 •    下一篇

一类T-S模糊广义系统的非脆弱H_∞控制

张艳;张庆灵;李琴;   

  1. 东北大学理学院;东北大学理学院;东北大学理学院 辽宁沈阳110004;辽宁沈阳110004;辽宁沈阳110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2007-11-15 发布日期:2013-06-24
  • 通讯作者: Zhang, Y.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574011);;

Non-fragile H∞ control for a class of T-S fuzzy descriptor systems

Zhang, Yan (1); Zhang, Qing-Ling (1); Li, Qin (1)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2007-11-15 Published:2013-06-24
  • Contact: Zhang, Y.
  • About author:-
  • Supported by:
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摘要： 在状态空间下,针对一类T-S模糊广义系统,研究了其具有反馈增益变化的H∞状态反馈控制器的设计问题,即设计的控制器当自身受到外部扰动时仍能完成对系统的镇定并满足H∞性能.利用Lyapunov稳定性理论,采用线性矩阵不等式(LMI)的处理方法,提出了T-S模糊广义系统的非脆弱状态反馈H∞控制器存在的充分条件,并进一步给出了保证T-S模糊广义系统H∞性能指标的非脆弱状态反馈控制器的设计方法.数值仿真表明该方法的可行性和优越性.

关键词: T-S模糊广义系统, 非脆弱控制, 状态反馈控制器, 线性矩阵不等式(LMI), H∞控制

Abstract: The design problem of H∞ state feedback controller with variable gains from feedback is studied in state space for a class of T-S fuzzy descriptor systems, i.e., the controller can stabilize the systems and satisfy the H∞ performance even if the controller is perturbed externally. Making use of the theory of Lyapunov stability and linear matrix inequality (LMI), the sufficient conditions are given to the existence of the desired non-fragile H∞ controllers for a class of T-S fuzzy descriptor systems, with the design method of the controller presented. A numerical simulation is done to show the feasibility and effectiveness of the proposed method.

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