Journal of Systems Engineering and Electronics ›› 2009, Vol. 31 ›› Issue (2): 424-427.

• 制导、导航与控制 • 上一篇    下一篇

基于模糊Lyapunov-Krasovskii函数的模糊系统的鲁棒H控制

张果, 李俊民   

  1. 西安电子科技大学理学院, 陕西, 西安, 710071
  • 收稿日期:2007-11-06 修回日期:2008-01-02 出版日期:2009-02-20 发布日期:2010-01-03
  • 作者简介:张果(1972- ),女,博士研究生,主要研究方向为模糊控制,鲁棒控制,混杂系统.E-mail:zhangguo163163@163.com

Robust H control of fuzzy system via fuzzy Lyapunov-krasovskii function

ZHANG Guo, LI Jun-min   

  1. School of Science, Xidian Univ., Xi'an 710071, China
  • Received:2007-11-06 Revised:2008-01-02 Online:2009-02-20 Published:2010-01-03

摘要: 针对公共Lyapunov-krasovskii函数(LKF)方法判断离散时滞模糊系统鲁棒稳定性的保守性,构造了模糊LKF,并给出了系统鲁棒稳定的充分条件.应用并行分布补偿算法(PDC),设计了全局鲁棒稳定的模糊控制器.多个附加矩阵变量的引入,使控制器可以通过求解一系列线性矩阵不等式(LMI)获得.最后,通过一个仿真例子验证了方法的有效性.

Abstract: For the conservation of checking the robust stability of discrete T-S fuzzy system with the common Lyapunov-krasovskii function,sufficient conditions for globally asymptotical stability of discrete T-S fuzzy system with delay are presented by using fuzzy LKF.State-feedback controller was designed by the method of parallel distributed compensation(PDC).The controller design involves solving a set of linear matrix inequalities(LMIs) with multiply additional matrix variables.At last,a simulation example shows that the approach is effective.

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