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 (5): 617-620.DOI: -

• 论著 • 上一篇    下一篇

基于LMI的T-S模糊控制系统动态输出反馈镇定

陈兆娜;井元伟;郑海青;   

  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:2009-05-15 发布日期:2013-06-22
  • 通讯作者: Chen, Z.-N.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(62074009);;

Dynamic output feedback stabilization for T-S fuzzy control systems via LMI

Chen, Zhao-Na (1); Jing, Yuan-Wei (1); Zheng, Hai-Qing (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2009-05-15 Published:2013-06-22
  • Contact: Chen, Z.-N.
  • About author:-
  • Supported by:
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摘要： 研究了一类由T-S模糊模型表示的非线性系统输出反馈控制问题.提出了一种新的动态输出反馈控制器的设计方法,给出了模糊系统二次镇定的充分条件,将控制问题转化为线性矩阵不等式的求解问题.深入分析了各模糊子系统之间的作用关系,使所得的充分条件更加宽松.最后给出了一个倒立摆例子进行仿真说明,结果表明系统具有很好的快速性及鲁棒性.

关键词: T-S模糊模型, 动态输出反馈, 二次镇定, 线性矩阵不等式, 鲁棒性

Abstract: Discusses the output feedback control of a class of nonlinear systems in terms of T-S fuzzy models. A new design method is proposed for the dynamic output feedback controllers to give the sufficient conditions for the existence of the quadratic stability of fuzzy systems, thus converting the control problem into the solutions to LMIs. Analyzing in depth the interaction between each and all fuzzy subsystems, the sufficient conditions become more relaxed. With an inverted pendulum on a cart as an example taken in numerical simulation, the result revealed the quickness and robustness of such nonlinear systems.

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