Piecewise nonlinear control

Author

Ohtake, Hiroshi ; Tanaka, Kazuo ; Wang, Hua O.

Author_Institution

Dept. of Mech. Eng. & Intelligent Syst., Univ. of Electro-Commun., Tokyo, Japan

Volume

5

fYear

2003

fDate

9-12 Dec. 2003

Firstpage

4735

Abstract

This paper presents piecewise nonlinear control for piecewise Takagi-Sugeno fuzzy systems described by a local Takagi-Sugeno fuzzy model in each piecewise region. We provide a piecewise sector nonlinearity idea to construct a piecewise Takagi-Sugeno fuzzy model from given nonlinear dynamics. In addition, a piecewise fuzzy Lyapunov function is employed to avoid conservatism of common Lyapunov stability results. We drive a stabilization condition based on the piecewise fuzzy Lyapunov function approach. A stabilizing piecewise fuzzy controller is designed by solving the derived conditions. Some examples demonstrate the effectiveness of our approach.

Keywords

Lyapunov methods; control system synthesis; fuzzy control; fuzzy systems; nonlinear control systems; piecewise linear techniques; stability; Lyapunov stability; nonlinear dynamics; piecewise Takagi-Sugeno fuzzy model; piecewise Takagi-Sugeno fuzzy systems; piecewise fuzzy Lyapunov function; piecewise fuzzy controller; piecewise nonlinear control; piecewise sector nonlinearity; Fuzzy control; Fuzzy systems; Intelligent systems; Linear matrix inequalities; Lyapunov method; Mechanical engineering; Mirrors; Nonlinear control systems; Stability; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2003. Proceedings. 42nd IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-7924-1

Type

conf

DOI

10.1109/CDC.2003.1272326

Filename

1272326