Stability analysis of polynomial fuzzy systems with time-delay via sum of squares (SOS) approach

Author

Siala, Fatma ; Gassara, Hamdi ; Chaabane, Mohamed ; El Hajjaji, Ahmed

Author_Institution

Electr. Eng., Nat. Sch. of Eng. of Sfax, Sfax, Tunisia

fYear

2013

Firstpage

197

Lastpage

200

Abstract

This paper presents a sum of squares (SOS) approach to stability analysis of polynomial fuzzy systems with time-delay. Based on a novel polynomial Lyapunov-Krasovskii Functional, stability conditions are presented in terms of sum of squares in order to reduce the conservatism. The proposed SOS-based framework is more innovative and effective than the existing linear matrix inequality (LMI). The SOS designed conditions can be solved via the recent developed toolbox of Matlab, SOSTOOLS V3.00. Numerical example is given to illustrate the utility of the proposed approach.

Keywords

Lyapunov methods; delays; fuzzy control; least mean squares methods; linear matrix inequalities; stability; LMI; Matlab; SOS; SOSTOOLS V3.00; linear matrix inequality; polynomial Lyapunov-Krasovskii functional; polynomial fuzzy systems; stability analysis; sum of squares approach; time-delay; Delay effects; Delays; Fuzzy systems; Numerical models; Numerical stability; Polynomials; Stability analysis; Polynomial fuzzy systems; polynomial Lyapunov-Krasovskii Functional; stability; sum of squares (SOS); time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Sciences and Techniques of Automatic Control and Computer Engineering (STA), 2013 14th International Conference on

Conference_Location

Sousse

Print_ISBN

978-1-4799-2953-5

Type

conf

DOI

10.1109/STA.2013.6783130

Filename

6783130