Stability analysis of fuzzy multivariable systems: vector Lyapunov function approach

Author

Cheng, C.M. ; Rees, N.W.

Author_Institution

Dept. of Syst. & Control, New South Wales Univ., Sydney, NSW, Australia

Volume

144

Issue

5

fYear

1997

fDate

9/1/1997 12:00:00 AM

Firstpage

403

Lastpage

412

Abstract

A design methodology for the stabilisation of a class of nonlinear systems which can be identified in the form of a fuzzy dynamic model is presented. The identified model is a fuzzy aggregation of a set of local linear models. The stability condition of the fuzzy model is devised by using the vector Lyapunov function approach and some important issues of stability analysis are discussed. A parameter optimisation algorithm is proposed to construct a set of local linear control laws for the fuzzy system. The performance of the fuzzy model based control technique is illustrated by a simulation example

Keywords

Lyapunov methods; control system analysis; control system synthesis; fuzzy systems; multivariable control systems; nonlinear control systems; optimisation; stability; stability criteria; design methodology; fuzzy aggregation; fuzzy dynamic model; fuzzy model based control technique; fuzzy multivariable systems; fuzzy system; local linear models; nonlinear systems; parameter optimisation algorithm; stability analysis; stability condition; vector Lyapunov function approach;

fLanguage

English

Journal_Title

Control Theory and Applications, IEE Proceedings -

Publisher

iet

ISSN

1350-2379

Type

jour

DOI

10.1049/ip-cta:19971440

Filename

628631