Stability analysis of the discrete Takagi-Sugeno fuzzy model

Author

Chou, Jyh-Horng ; Chen, Shim-Horng

Author_Institution

Dept. of Mech. Eng., Nat. Yunlin Inst. if Technol, China

fYear

1996

fDate

11-14 Dec 1996

Firstpage

400

Lastpage

405

Abstract

We present a new stability criterion to analyze the stability of the discrete TS (Takagi and Sugeno, 1985) fuzzy dynamic model by which nonlinear systems can be identified precisely. This proposed stability criterion does not need a positive definite matrix solution of Lyapunov equations or a Lyapunov equation such that sufficient stability conditions are satisfied for every IF-THEN rule. Therefore this stability criterion enables us to check the stability of the discrete TS fuzzy model with less computation. A simple example is included to illustrate an application of the proposed method

Keywords

Lyapunov matrix equations; discrete systems; fuzzy control; identification; nonlinear control systems; stability; IF-THEN rule; Lyapunov equations; computation; discrete Takagi-Sugeno fuzzy model; dynamic model; fuzzy control; identification; nonlinear systems; positive definite matrix; stability analysis; Control systems; Erbium; Fuzzy control; Fuzzy systems; Mechanical engineering; Nonlinear equations; Nonlinear systems; Stability analysis; Stability criteria; Takagi-Sugeno model;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems Symposium, 1996. Soft Computing in Intelligent Systems and Information Processing., Proceedings of the 1996 Asian

Conference_Location

Kenting

Print_ISBN

0-7803-3687-9

Type

conf

DOI

10.1109/AFSS.1996.583643

Filename

583643