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 (5): 453-456.DOI: -

• 论著 • 上一篇    下一篇

基于状态反馈的广义T-S模糊系统鲁棒H_∞控制

朱宝彦;张庆灵;笪可宁   

  1. 东北大学理学院;东北大学理学院;沈阳建筑工程学院 辽宁沈阳　110004
  • 收稿日期:2013-06-24 修回日期:2013-06-24 出版日期:2004-05-15 发布日期:2013-06-24
  • 通讯作者: Zhu, B.-Y.
  • 作者简介:-
  • 基金资助:
    辽宁省普通高校学科带头人基金资助项目(124210)

State feedback robust H∞ control for T-S fuzzy descriptor systems

Zhu, Bao-Yan (1); Zhang, Qing-Ling (1); Da, Ke-Ning (2)   

  1. (1) Sch. of Sci., Northeastern Univ., Shenyang 110004, China; (2) Shenyang Arch. and Civil Eng. Univ., Shenyang 110168, China
  • Received:2013-06-24 Revised:2013-06-24 Online:2004-05-15 Published:2013-06-24
  • Contact: Zhu, B.-Y.
  • About author:-
  • Supported by:
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摘要： 分别讨论了子系统和全局系统的正则、无脉冲、稳定的关系,举例说明了子系统的正则、无脉冲、稳定并不能保证全局系统的正则、无脉冲、稳定·说明了对其进行研究的可行性和必要性·研究了一类广义T S模糊系统鲁棒控制问题·给出了设计该状态反馈控制器保证闭环系统稳定并满足一定性能指标的充分条件·使用LMI方法表示了此条件,算例显示了该方法的简易有效·

关键词: 广义TS模糊系统, 状态反馈控制器, 稳定性, 线性矩阵不等式

Abstract: The relations between the fuzzy descriptor subsystems and the overall systems are discussed on the regularity, impulse-free and stability. It is illustrated that the regularity, impulse-free and stability of the subsystems cannot guarantee those of the overall fuzzy descriptor systems composed of such subsystems. For this reason, it is possible and necessary to study the systems. A class of robust H∞ control for T-S fuzzy descriptor systems with regularity and impulse-fee is thus discussed. The sufficient conditions are given, under which a state feedback controller can be designed to provide the stability of the closed-loop system and satisfy the H∞-performance. The sufficient conditions are expressed via LMI. The simplicity and effectiveness of the control method proposed is shown by an example.

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