东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2004, Vol. 25 ›› Issue (12): 1123-1126.DOI: -

• 论著 •    下一篇

一类不确定时滞系统的模糊鲁棒控制及其稳定性分析

魏新江;井元伟   

  1. 东北大学信息科学与工程学院;东北大学信息科学与工程学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-12-15 发布日期:2013-06-24
  • 通讯作者: Wei, X.-J.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(60274009);;高等学校博士学科点专项科研基金资助项目(20020145007)·

Fuzzy robust control of a class of uncertain time-delay systems and its stability analysis

Wei, Xin-Jiang (1); Jing, Yuan-Wei (1)   

  1. (1) Sch. of Info. Sci. and Eng., Northeastern Univ., Shenyang 110004, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-12-15 Published:2013-06-24
  • Contact: Wei, X.-J.
  • About author:-
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摘要： 首先利用模糊T S模型对一类不确定时滞系统进行模糊建模,然后基于李亚普诺夫稳定性理论,分别研究了模糊系统在状态可测与不可测的情况下的鲁棒镇定问题,从理论上证明了所设计的状态反馈控制器可以镇定原系统·进一步将该稳定性问题转化为一类线性矩阵不等式的求解问题·最后通过仿真实例证明了该方法的有效性·

关键词: 时滞系统, LMI, 模糊观测器, 模糊TS模型

Abstract: The fuzzy T-S model is used to approximate to time-delay systems with uncertainty. Then, based on Lyapunov stability theory, the robust stabilization of such fuzzy systems that are either observable or unobservable, are discussed. The state feedback controller thus designed is proved to be able to stabilize the systems theoretically and further such stability problems can be transferred into a class of linear matrix inequalities to solve. A simulation exemplifies the effectiveness of the proposed method.

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