Nonquadratic stabilization conditions for a class of uncertain nonlinear discrete time TS fuzzy models: A new approach

被引：266

作者：

Kruszewski, A. ^{[1
]}

Wang, R. ^{[2
]}

Guerra, T. M. ^{[1
]}

机构：

[1] Univ Valenciennes & Hainaut Cambresis, CNRS, LAMIH, UMR 8530,Lab Ind & Human Automat Control, F-59313 Valenciennes 9, France

[2] Three Gorges Univ, Coll Elect Engn & Informat Technol, Yichang 443002, Peoples R China

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2008年 / 53卷 / 02期

关键词：

linear matrix inequality (LMI); nonlinear discrete models; nonquadratic Lyapunov function; uncertain Takagi-Sugeno fuzzy model;

D O I：

10.1109/TAC.2007.914278

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The discrete-time uncertain nonlinear models are considered in a Takagi-Sugeno form and their stabilization is studied through a nonquadratic Lyapunov function. The classical conditions consider a one-sample variation, here, the main results are obtained considering k samples variation, i.e., Delta V-k(x(t)) = V(x(t + k)) - V(x(t)). The results are shown to always include the classical cases, and several examples illustrate the effectiveness of the approach.

引用

页码：606 / 611

页数：6

共 19 条

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Chen BS, 2000, IEEE T FUZZY SYST, V8, P249, DOI 10.1109/91.855915

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