Stabilization of uncertain fuzzy time-delay systems via variable structure control approach

被引：123

作者：

Lin, C ^{[1
]}

Wang, QG ^{[1
]}

Lee, TH ^{[1
]}

机构：

[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 119260, Singapore

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2005年 / 13卷 / 06期

关键词：

fuzzy systems; robust stabilization; time-delay; variable structure control;

D O I：

10.1109/TFUZZ.2005.859310

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In view of a recent new application of variable structure control (VSC) to the stabilization problem for Takagi-Sugeno (T-S) fuzzy models, this paper aims to study the stabilization of uncertain fuzzy time-delay systems in T-S fuzzy model via VSC approach. There are mainly two features in this paper: one lies in the incorporation of time-delays (both smooth and nonsmooth delays) in which case Lyapunov functionals and Razumikhin Theorem are required to solve the stabilization problem; the other feature is that not only matched uncertainties but also mismatched uncertainties in the state variables are considered. As a sequence, the contribution of this paper consists of various control schemes proposed for the VSC design and the present results are in terms of linear matrix inequalities (LMIs). An illustrative example is given to show the effectiveness of our various results.

引用

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页码：787 / 798

页数：12

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