Robust Global Exponential Stabilization of Nonlinear Impulsive Fuzzy Systems via LMI Technique

Author

Jiang, Haibo ; Jianjiang Yu ; Zhou, Caigen

Author_Institution

Dept. of Math., Yancheng Teachers Coll., Yancheng

Volume

2

fYear

2006

fDate

4-6 Oct. 2006

Firstpage

1937

Lastpage

1941

Abstract

This paper defines an impulsive fuzzy system by extending the ordinary T-S fuzzy model. The concept of parallel distributed compensation (PDC) is employed to design the state feedback controller. By Lyapunov method, the resulting closed-loop system is shown to be globally exponential stable. Sufficient conditions for global exponential stability of the closed-loop system are derived in terms of linear matrix inequalities (LMIs), which can be easily solved by LMI method. Simulation results illustrate the effectiveness of the proposed approach.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; compensation; fuzzy systems; linear matrix inequalities; nonlinear control systems; robust control; state feedback; LMI technique; Lyapunov method; PDC; closed loop system; linear matrix inequalities; nonlinear impulsive fuzzy systems; ordinary T-S fuzzy model; parallel distributed compensation; robust global exponential stabilization; state feedback controller; Chaos; Control systems; Fuzzy control; Fuzzy systems; Lyapunov method; Nonlinear control systems; Robustness; Stability; State feedback; Systems engineering and theory; Lyapunov method; Nonlinear systems; exponential stability; fuzzy systems; impulsive systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Engineering in Systems Applications, IMACS Multiconference on

Conference_Location

Beijing

Print_ISBN

7-302-13922-9

Electronic_ISBN

7-900718-14-1

Type

conf

DOI

10.1109/CESA.2006.4281955

Filename

4281955