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T-S模糊系统的基于观测器的H∞控制设计
引用本文:刘晓东,张庆灵.T-S模糊系统的基于观测器的H∞控制设计[J].自动化学报,2003,29(1):45-53.
作者姓名:刘晓东  张庆灵
作者单位:1.东北大学理学院,沈阳;
基金项目:SupportedbyNationalNaturalScienceFoundationofP .R .China (6 0 1740 14)andtheScienceFoundationofDalianMaritimeUniversity
摘    要:研究了T-S(Takagi-Sugeno)模糊系统H∞控制设计问题.放宽了Kim E等的T-S模糊 系统可二次稳定的条件.给出了T-S模糊系统新的观测器设计方法.然后给出了T-S模糊系统 基于观测器的H∞控制存在的两个新的充分条件.新方法不但简单,而且充分考虑了模糊子系统 间的相互作用.最后通过例子,应用LMI技术,说明了本文给出的T-S模糊系统的基于观测器 的H∞控制器的设计方法简便易行.

关 键 词:H∞控制    T-S模糊系统    二次稳定    观测器    线性矩阵不等式(LMI)    状态反馈
收稿时间:2001-9-24

Observer-Based H∞ Controller Designs for T-S Fuzzy Systems
LIU Xiao-Dong,ZHANG Qing-Ling.Observer-Based H∞ Controller Designs for T-S Fuzzy Systems[J].Acta Automatica Sinica,2003,29(1):45-53.
Authors:LIU Xiao-Dong  ZHANG Qing-Ling
Affiliation:1.College of Sciences,Northeastern University,Shenyang;Department of Mathematics and Physiccs,Dalian Maritime University,Dalian
Abstract:H∞ control designs for T-S (Takagi-Sugeno) fuzzy systems have been studied, a new quadratic stability condition which is more simple and relaxed than Kim E.′s and a new observer design method for T-S fuzzy systems have been proposed. Then two new sufficient conditions in terms of linear matrix inequalities, which guarantee the existence of observer-based H∞ controller for the T-S fuzzy systems, have been proposed. The design methods are simple and consider the interactions among the fuzzy subsystems. Finally, we show by examples that observer-based H∞ controller designs for T-S fuzzy systems are very practical and efficient.
Keywords:T-S fuzzy system  quadratic stability  observer  linear matrix inequalities (LMI)  state feedback
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