Generalized Nonquadratic Stability of Continuous-Time Takagi-Sugeno Models

被引：148

作者：

Bernal, Miguel ^{[1
]}

Guerra, Thierry Marie ^{[2
,3
]}

机构：

[1] Univ Guadalajara, Ctr Univ Valles, Guadalajara 46600, Jalisco, Mexico

[2] Univ Lille Nord France, F-59000 Lille, France

[3] Univ Valenciennes & Hainaut Cambresis, CNRS, Lab Automat Mecan & Informat Ind & Humaines, F-59313 Valenciennes, France

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2010年 / 18卷 / 04期

关键词：

Linear-matrix inequalities (LMIs); local asymptotic stability; stability domain; Takagi-Sugeno (TS) models; CONTROL-SYSTEM DESIGN; LYAPUNOV FUNCTION-APPROACH; FUZZY CONTROL; NONLINEAR-SYSTEMS; STABILIZATION CONDITIONS; POLYTOPIC SYSTEMS; ROBUST STABILITY; FORM; PERFORMANCE;

D O I：

10.1109/TFUZZ.2010.2049113

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper provides generalized nonquadratic stability conditions for continuous-time nonlinear models in the Takagi-Sugeno (TS) form obtained by sector-nonlinearity approach. Should global quadratic stability fail for a given nonlinear model, the proposed approach allows the obtaining of progressively better estimations of the stability domain via local asymptotic conditions in the form of linear-matrix inequalities (LMIs), which are efficiently solved by convex optimization techniques. Illustrative examples are presented to emphasize the broadening capabilities of the new stability analysis.

引用

页码：815 / 822

页数：8

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