Hybrid H∞ robust control for a class of uncertain fuzzy systems with time-varying delay

Author

Nie, Hong ; Liang, Xiaomin ; Li, Ping ; Song, Zhengyi ; Zhao, Jun

Author_Institution

Sch. of Sci., Liaoning Shihua Univ., Fushun, China

fYear

2010

fDate

26-28 May 2010

Firstpage

3617

Lastpage

3622

Abstract

This paper studies H_∞ robust control for a class of uncertain T-S fuzzy systems with time-varying delay by using controller switching technique. Based on the switching Lyapunov function and parallel distributed compensation principle(PDC), sufficient conditions of the switching fuzzy H_∞ controller design are provided to guarantee the stabilization of the system with H_∞ norm γ, which is in terms of the solvability of a set of linear matrix inequalities(LMIs). A simulation result shows the feasibility and effectiveness of the designed method.

Keywords

H^∞ control; Lyapunov methods; control system synthesis; delays; fuzzy systems; linear matrix inequalities; stability; time-varying systems; Lyapunov function; controller switching technique; hybrid H_∞ robust control; linear matrix inequalities; parallel distributed compensation principle; stabilization; time-varying delay; uncertain T-S fuzzy systems; uncertain fuzzy systems; Control systems; Delay systems; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Robust control; Sufficient conditions; Time varying systems; Controller Switching; H∞ Robust Control; Switching Lyapunov Functions; T-S Fuzzy Systems;

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.2010.5498535

Filename

5498535