Analysis and design of fuzzy control systems using dynamic fuzzy-state space models

Author

Cao, Shu-Guang ; Rees, Neville W. ; Feng, Gang

Author_Institution

Sch. of Electr. Eng., New South Wales Univ., Sydney, NSW, Australia

Volume

7

Issue

2

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

192

Lastpage

200

Abstract

A discrete-time fuzzy control system which is composed of a dynamic fuzzy model and a fuzzy-state feedback controller is proposed. Stability of the fuzzy control system is discussed and two sufficient conditions to guarantee the stability of the system are given in terms of uncertain linear system theory. An algorithm is developed to check the stability condition. The controller design method is divided into two procedures, one is to get the state feedback matrix by linear system theory in every local rule map; the other is to determine conditions of global stability by using a nonlinear analysis method. Two examples are used to show the design method

Keywords

asymptotic stability; control system analysis; control system synthesis; discrete time systems; fuzzy control; state feedback; state-space methods; discrete-time fuzzy control system; dynamic fuzzy model; dynamic fuzzy-state space models; global stability; local rule map; nonlinear analysis method; stability condition; state feedback matrix; sufficient conditions; uncertain linear system theory; Adaptive control; Control systems; Design methodology; Fuzzy control; Fuzzy systems; Linear feedback control systems; Linear systems; Nonlinear control systems; Stability; Sufficient conditions;

fLanguage

English

Journal_Title

Fuzzy Systems, IEEE Transactions on

Publisher

ieee

ISSN

1063-6706

Type

jour

DOI

10.1109/91.755400

Filename

755400