Generalized Nonquadratic Stability of Continuous-Time Takagi-Sugeno Models

被引：144
|
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
收藏
页码：815 / 822
页数：8
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