Reducing conservativeness in stability conditions of affine fuzzy systems using fuzzy Lyapunov function

Author

Dae Young Kim ; Jin Bae Park ; Young Hoon Joo

Author_Institution

Dept. of Electr. & Electron. Eng., Yonsei Univ., Seoul, South Korea

fYear

2013

fDate

7-10 July 2013

Firstpage

1

Lastpage

5

Abstract

This paper presents the relaxed stability condition for the affine fuzzy system using the fuzzy Lyapunov function which is the Lyapunov function with the membership function. Based on Lyapunov-stability theory, the relaxed stability condition for the affine fuzzy system is derived and represented to linear matrix inequalities(LMIs) with added null product term. Slack matrix variables are considered to analyze further relaxed stability condition. Finally, a simulation example is given to illustrate the merits of the proposed methods.

Keywords

Lyapunov methods; fuzzy systems; linear matrix inequalities; stability; LMI; Lyapunov-stability theory; affine fuzzy systems; conservativeness reduction; fuzzy Lyapunov function; linear matrix inequalities; membership function; null product term; relaxed stability condition; slack matrix variables; Analytical models; Fuzzy systems; Lyapunov methods; Numerical stability; Stability criteria; Symmetric matrices; Affine fuzzy system; fuzzy Lyapunov function; linear matrix inequality (LMI); slack variable; stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2013 IEEE International Conference on

Conference_Location

Hyderabad

ISSN

1098-7584

Print_ISBN

978-1-4799-0020-6

Type

conf

DOI

10.1109/FUZZ-IEEE.2013.6622411

Filename

6622411