Stability analysis of discrete type-2 TSK fuzzy systems with interval uncertainty

Author

Jafarzadeh, Saeed ; Fadali, M. Sami

Author_Institution

Dept. of Electr. & Biomed. Eng., Univ. of Nevada Reno, Reno, NV, USA

fYear

2010

fDate

18-23 July 2010

Firstpage

1

Lastpage

8

Abstract

Type-2 fuzzy systems provide good models for uncertain fuzzy systems. This paper introduces three sufficient stability conditions for Takagi-Sugeno-Kang (TSK) type-2 fuzzy systems. The main advantage of the new conditions is that they do not require the existence of a common Lyapunov function and are therefore applicable to systems with unstable consequents. Conditions are derived for stability in the sense of Lyapunov and for asymptotic stability. The use of each condition in stability testing is demonstrated using simple numerical examples where methods based on a common Lyapunov function fail.

Keywords

Lyapunov methods; asymptotic stability; fuzzy control; fuzzy systems; Lyapunov stability; Takagi-Sugeno-Kang fuzzy systems; asymptotic stability; common Lyapunov function; common Lyapunov function fail; discrete type-2 TSK fuzzy systems; interval uncertainty; stability analysis; stability testing; Asymptotic stability; Fuzzy systems; Lyapunov method; Numerical stability; Stability analysis; Trajectory; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems (FUZZ), 2010 IEEE International Conference on

Conference_Location

Barcelona

ISSN

1098-7584

Print_ISBN

978-1-4244-6919-2

Type

conf

DOI

10.1109/FUZZY.2010.5583961

Filename

5583961