TSK fuzzy systems types II and III stability analysis: continuous case

Author

Sonbol, Assem H. ; Fadali, M. Sami

Author_Institution

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

Volume

36

Issue

1

fYear

2006

Firstpage

2

Lastpage

12

Abstract

We propose a new approach for the stability analysis of continuous Sugeno Types II and III dynamic fuzzy systems. We introduce the concept of fuzzy positive definite and fuzzy negative definite systems and use them in arguments similar to those of traditional Lyapunov stability theory to derive new conditions for stability and asymptotic stability for continuous Type II/III dynamic fuzzy systems. To demonstrate the new approach, we apply it to numerical examples.

Keywords

Lyapunov methods; asymptotic stability; continuous time systems; discrete time systems; fuzzy control; fuzzy systems; Lyapunov stability theory; TSK fuzzy system; asymptotic stability analysis; continuous Sugeno type II/III dynamic fuzzy system; fuzzy negative definite system; fuzzy positive definite system; Asymptotic stability; Computer aided software engineering; Fuzzy control; Fuzzy sets; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Stability analysis; Sufficient conditions; Takagi-Sugeno-Kang model; Continuous TSK systems; Lyapunov stability; stability analysis; Algorithms; Computer Simulation; Fuzzy Logic; Models, Theoretical; Systems Theory;

fLanguage

English

Journal_Title

Systems, Man, and Cybernetics, Part B: Cybernetics, IEEE Transactions on

Publisher

ieee

ISSN

1083-4419

Type

jour

DOI

10.1109/TSMCB.2005.852472

Filename

1580614