Stability analysis approach to a class of fuzzy controlled nonlinear time-varying systems

Author

Precup, Radu-Emil ; Tomescu, Marius L. ; Preitl, Stefan ; Petriu, Emil M. ; Kilyeni, Stefan ; Barbulescu, Constantin

fYear

2009

fDate

18-23 May 2009

Firstpage

958

Lastpage

963

Abstract

A stability analysis approach a class of fuzzy controlled single input-single output nonlinear time-varying systems is proposed in the paper. The stability analysis is done in the sense of Lyapunov resulting in sufficient uniform asymptotic stability conditions to be used in the design of Takagi-Sugeno fuzzy logic controllers (FLCs). Use is made of quadratic positive definite Lyapunov function candidates. An illustrative example validates the stability analysis approach by the designing of the FLC to control a nonlinear plant.

Keywords

Lyapunov methods; asymptotic stability; control system synthesis; fuzzy control; nonlinear control systems; time-varying systems; Lyapunov function; Takagi-Sugeno fuzzy logic controller design; asymptotic stability; fuzzy controlled single input-single output nonlinear time-varying systems; stability analysis; Asymptotic stability; Control systems; Fuzzy control; Fuzzy logic; Fuzzy systems; Lyapunov method; Nonlinear control systems; Stability analysis; Takagi-Sugeno model; Time varying systems; Fuzzy logic controller; Lorenz system; Lyapunov function candidate; nonlinear time-varying system;

fLanguage

English

Publisher

ieee

Conference_Titel

EUROCON 2009, EUROCON '09. IEEE

Conference_Location

St.-Petersburg

Print_ISBN

978-1-4244-3860-0

Electronic_ISBN

978-1-4244-3861-7

Type

conf

DOI

10.1109/EURCON.2009.5167750

Filename

5167750