On improved delay-dependent robust stabilization of Takagi-Sugeno fuzzy systems with state and input delays

Author

Li, Li ; Yu, Fajun

Author_Institution

Coll. of Math. & Syst. Sci., Shenyang Normal Univ., Shenyang, China

fYear

2010

fDate

26-28 May 2010

Firstpage

1990

Lastpage

1994

Abstract

This paper investigates the robust delay-dependent stabilization problem for uncertain fuzzy systems with state and input delays which is more general fuzzy model. Taking Leibniz-Newton formula into account, sufficient matrix inequalities conditions for stabilization of such systems are derived via a novel Lyapunov-Krasovskii functional (LKF), which are dependent on the size of the delays and are based on the solutions of linear matrix inequalities (LMIs). Finally, numerical examples are included to show the effectiveness and improvement of the proposed method.

Keywords

Lyapunov methods; Newton method; delay systems; fuzzy systems; linear matrix inequalities; robust control; uncertain systems; LKF; LMI; Leibniz-Newton formula; Lyapunov-Krasovskii functional; Takagi-Sugeno fuzzy systems; delay-dependent robust stabilization; fuzzy model; input delay; linear matrix inequality; robust delay-dependent stabilization; state delay; sufficient matrix inequalities conditions; uncertain fuzzy systems; Bismuth; Control systems; Delay effects; Delay systems; Fuzzy systems; Linear matrix inequalities; Robust control; Robustness; Takagi-Sugeno model; Uncertainty; Fuzzy systems; LMI; State and input delay; Time-delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498885

Filename

5498885