GH2 Control for Uncertain Discrete-time-delay Fuzzy Systems Based on a Switching Fuzzy Model and Piecewise Lyapunov Function

Generalized H2 （GH2） stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix ineq...

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Bibliographic Details
Published inInternational journal of automation and computing Vol. 6; no. 3; pp. 261 - 266
Main Author Zhi-Le Xia Jun-Min Li
Format Journal Article
LanguageChinese
Published 2009
Subjects
Lyapunov函数
充分条件
控制器设计
模糊模型
模糊系统
相互作用
稳定性分析
线性矩阵不等式
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ISSN1476-8186
1751-8520

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Summary:Generalized H2 （GH2） stability analysis and controller design of the uncertain discrete-time Takagi-Sugeno （T-S） fuzzy systems with state delay are studied based on a switching fuzzy model and piecewise Lyapunov function. GH2 stability sufficient conditions are derived in terms of linear matrix inequalities （LMIs）. The interactions among the fuzzy subsystems are considered. Therefore, the proposed conditions are less conservative than the previous results. Since only a set of LMIs is involved, the controller design is quite simple and numerically tractable. To illustrate the validity of the proposed method, a design example is provided.
Bibliography:TP273
Generalized H2 （GH2） control, fuzzy systems, linear matrix inequalities （LMIs）, piecewise Lyapunov function, switchingfuzzy model.
TP13
11-5350/TP
ISSN:1476-8186
1751-8520