东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (11): 1525-1527.DOI: -

• 论著 • 上一篇    下一篇

一类非线性系统的模糊可靠控制器设计

翟丁;原萍;刘国义;梁力;   

  1. 东北大学理学院;东北大学信息科学与工程学院;东北大学资源与土木工程学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-11-15 发布日期:2013-06-22
  • 通讯作者: Zhai, D.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60574011,60674021);;

Reliable design of fuzzy controller for a class of nonlinear systems

Zhai, Ding (1); Yuan, Ping (2); Liu, Guo-Yi (1); Liang, Li (3)   

  1. (1) School of Sciences, Northeastern University, Shenyang 110004, China; (2) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; (3) School of Resources and Civil Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-11-15 Published:2013-06-22
  • Contact: Zhai, D.
  • About author:-
  • Supported by:
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摘要： 基于T-S模糊模型,从正常闭环系统的可靠性问题入手,利用线性矩阵不等式(LMI)方法,研究一类非线性系统的模糊可靠H∞控制器设计问题.首先,对前期已有的结果进行了描述和比较,然后给出了T-S模糊系统的数学模型,并以线性矩阵不等式(LMI)的形式提出了系统模糊可靠H∞控制器存在的充分条件和控制器设计方法.所设计的模糊可靠H∞控制器的设计方法简明,使得故障闭环系统二次稳定,满足H∞性能指标,便于应用.数值例子验证了结论的正确性和控制器设计方法的有效性.

关键词: T-S模糊系统, 二次稳定, 可靠控制器, 线性矩阵不等式(LMI), H∞控制

Abstract: Based on the T-S fuzzy model and proceeding with the reliability of normally closed-loop systems, the reliable design of fuzzy controller for a class of nonlinear systems is discussed via linear matrix inequality (LMI). Describing and comparing the earlier works, the sufficient condition for the mathematical model of T-S fuzzy system is given in terms of LMI, with the design method of reliable controller proposed. The controller thus designed enables the fault closed-loop systems to be restabilized of with quadratic stability so as to satisfy the performance indices in applications. A numerical example is given to verify the effectiveness of the design procedure.

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