Global stability condition of fuzzy model-based controllers via evolutionary computation

Author

Udawatta, Lanka ; Watanabe, Keigo ; Kiguchi, Kazuo ; Izumi, Kiyotaka

Author_Institution

Graduate Sch. of Sci. & Eng., Saga Univ., Japan

Volume

1

fYear

2002

fDate

6/24/1905 12:00:00 AM

Firstpage

238

Lastpage

243

Abstract

This paper presents a new concept for solving fuzzy controller stability problems on matrix inequalities via evolutionary computation (EC). The gain scheduling problem of a multi-model fuzzy system, which satisfies the Lyapunov stability criteria, is solved. The generalized eigenvalue problem can be directly introduced into EC in searching positive definite or positive semi-definite matrices, by making a penalty for an individual, that violates the inequality condition in order to solve the nonlinear constraints or linear matrix inequalities. Examples are given to illustrate the effectiveness of the proposed methodology

Keywords

Lyapunov methods; eigenvalues and eigenfunctions; fuzzy control; genetic algorithms; matrix algebra; stability; Lyapunov method; eigenvalues; evolutionary computation; fuzzy control; gain scheduling; linear matrix inequality; model based control; positive definite matrix; positive semidefinite matrix; stability; Eigenvalues and eigenfunctions; Evolutionary computation; Fuzzy control; Fuzzy logic; Fuzzy systems; Linear matrix inequalities; Nonlinear control systems; Processor scheduling; Regulators; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2002. FUZZ-IEEE'02. Proceedings of the 2002 IEEE International Conference on

Conference_Location

Honolulu, HI

Print_ISBN

0-7803-7280-8

Type

conf

DOI

10.1109/FUZZ.2002.1004993

Filename

1004993