Criteria for fuzzy robust stability of uncertain systems with time delay

Author

He Guannan ; Ji Jing

Author_Institution

Coll. of Inf. Sci. & Technol, Beijing Univ. of Chem. Technol., Beijing, China

fYear

2011

fDate

22-24 July 2011

Firstpage

2946

Lastpage

2951

Abstract

This paper investigates the robust stability and H_∞ stabilization problem of a class of uncertain time-delay systems. A class of parametric uncertainties nonlinear time-delay systems are modeled by Takagi-Sugeno (T-S) fuzzy model, and sufficient conditions of delay-dependent robust asymptotic stability are derived in terms of linear matrix inequality (LMI). Furthermore, the robust stabilization conditions via state-feedback are presented, which satisfy the H_∞ performance index prescribed. Numerical examples are given to demonstrate the effectiveness of the methods proposed.

Keywords

H^∞ control; asymptotic stability; delays; fuzzy control; linear matrix inequalities; robust control; state feedback; H infinity performance index; H infinity stabilization problem; Takagi-Sugeno fuzzy model; delay-dependent robust asymptotic stability; fuzzy robust stability; linear matrix inequality; robust stabilization condition; state feedback; time delay; uncertain time-delay system; Asymptotic stability; Fuzzy systems; Linear matrix inequalities; Mathematical model; Numerical models; Robustness; Symmetric matrices; Delay-dependent; Linear matrix inequality (LMI); Robust stability; Takagi-Sugeno (T-S) fuzzy model systems; Uncertain time-delay systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2011 30th Chinese

Conference_Location

Yantai

ISSN

1934-1768

Print_ISBN

978-1-4577-0677-6

Electronic_ISBN

1934-1768

Type

conf

Filename

6001398