Quadratic Stability and Stabilisation of Interval Takagi-Sugeno Model : LMI Approach

Author

Chadli, Mohammed ; Ragot, José ; Maquin, Didier

Author_Institution

Fac. of Math. & Comput. Sci., Univ. of Picardie Jules Verne, Amiens

fYear

2005

fDate

27-29 June 2005

Firstpage

1035

Lastpage

1038

Abstract

This paper deals with the stability analysis of interval Takagi-Sugeno. Based on a quadratic Lyapunov function, new asymptotic stability conditions for continuous case are presented without any assumption on the norm of matrices uncertainties. This result is obtained directly according to the bounds (minimal and maximum) of the intervals of each element of matrices representing the system. These stability conditions, extended to the design of controller, are formulated in terms of linear matrix inequalities (LMI). Example is given to illustrate the proposed method

Keywords

Lyapunov matrix equations; asymptotic stability; control system synthesis; fuzzy control; linear matrix inequalities; asymptotic stability; controller design; interval Takagi-Sugeno model; linear matrix inequalities; matrix uncertainty; quadratic Lyapunov function; quadratic stability; Asymptotic stability; Control system synthesis; Linear matrix inequalities; Lyapunov method; Stability analysis; Symmetric matrices; Systems engineering and theory; Takagi-Sugeno model; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control, 2005. Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation

Conference_Location

Limassol

ISSN

2158-9860

Print_ISBN

0-7803-8936-0

Type

conf

DOI

10.1109/.2005.1467156

Filename

1467156