A construction procedure of a Lyapunov function in stability analysis of fuzzy systems with singleton consequents

Author

Lee, Chang-Hoon ; Sugeno, Michio

Author_Institution

Dept. of Comput. Intelligence & Syst. Sci., Tokyo Inst. of Technol., Yokohama, Japan

Volume

3

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

1

Abstract

A construction procedure of a quadratic Lyapunov function is proposed to analyze the stability of fuzzy systems with singleton consequents. LMI (linear matrix inequality) and sequential quadratic programming are used to find the Lyapunov function which satisfies the stability conditions. The stability conditions are classified into two parts: conditions which can be converted to LMI form by introducing slack variables and by using Schur complements, and conditions which can not be converted. The proposed method is illustrated by a numerical example

Keywords

Lyapunov methods; fuzzy systems; matrix algebra; quadratic programming; stability; Schur complements; linear matrix inequality; quadratic Lyapunov function; sequential quadratic programming; singleton consequents; slack variables; stability analysis; Computational intelligence; Fuzzy reasoning; Fuzzy systems; Linear matrix inequalities; Linear systems; Lyapunov method; Marine vehicles; Matrix converters; Nonlinear systems; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Man, and Cybernetics, 1999. IEEE SMC '99 Conference Proceedings. 1999 IEEE International Conference on

Conference_Location

Tokyo

ISSN

1062-922X

Print_ISBN

0-7803-5731-0

Type

conf

DOI

10.1109/ICSMC.1999.823123

Filename

823123