Fuzzy control of nonlinear continuous-time systems

Author

Cao, S.G. ; Rees, N.W. ; Feng, G.

Author_Institution

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

Volume

1

fYear

1996

fDate

11-13 Dec 1996

Firstpage

592

Abstract

Fuzzy control has proved to be a successful control method for many kinds of nonlinear systems. However, the question, “for a given nonlinear system is it possible to design a fuzzy control system to stabilize this nonlinear system?”, has not been answered yet. In this paper we try to answer this question by proving some universal approximation theorem, stability theorem and universal fuzzy controller theorems for a class of nonlinear systems which can be represented by a set of linear systems on a set of local regions. Furthermore we propose a constructive procedure to obtain the fuzzy controllers for this class of nonlinear systems

Keywords

approximation theory; control system synthesis; fuzzy control; nonlinear control systems; stability; linear system set; nonlinear continuous-time systems; stability theorem; universal approximation theorem; universal fuzzy controller theorem; Australia; Control systems; Design methodology; Fuzzy control; Fuzzy systems; Linear systems; Nonlinear control systems; Nonlinear systems; Robust stability; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1996., Proceedings of the 35th IEEE Conference on

Conference_Location

Kobe

ISSN

0191-2216

Print_ISBN

0-7803-3590-2

Type

conf

DOI

10.1109/CDC.1996.574388

Filename

574388