Non quadratic stability of nonlinear systems in the Takagi-Sugeno form

Author

Blanco, Y. ; Perruquetti, W. ; Borne, P.

Author_Institution

LAIL, UPRESA, Ecole Centrale de Lille, Villeneuve-d´Ascq, France

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

3917

Lastpage

3922

Abstract

This paper presents new stability conditions for continuous-time Takagi-Sugeno (T-S) models and, by extension, a wide class of nonlinear systems. The stability conditions are derived by using a non quadratic Liapunov function. The results are presented in a Linear Matrix Inequality (LMI) formulation. An extension to the case of stabilization with different types of controllers is also proposed here.

Keywords

Lyapunov methods; fuzzy control; linear matrix inequalities; nonlinear control systems; stability; LMI formulation; T-S model; Takagi-Sugeno form; continuous-time Takagi-Sugeno model; linear matrix inequality; nonlinear system; nonquadratic Lyapunov function; nonquadratic stability; stability condition; Asymptotic stability; Biological system modeling; Nonlinear systems; Stability criteria; Symmetric matrices; Takagi-Sugeno model; Nonlinear Systems; Stability; Stabilization; Takagi-Sugeno Model;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076546

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=697671