Stability analysis of TSK fuzzy systems

Author

Kang, Geuntaek ; Lee, Wonchang ; Sugeno, Michio

Author_Institution

Pukyong Nat. Univ., Pusan, South Korea

Volume

1

fYear

1998

fDate

4-9 May 1998

Firstpage

555

Abstract

This paper suggests a method verifying the stability of a Takagi-Sugeno-Kang (TSK) fuzzy state space model consisting of TSK fuzzy rules of which consequents have a constant term. Such a TSK fuzzy model may have many equilibrium points and each equilibrium point may have different nature of stability. The stability of an equilibrium point is determined by eigenvalues of the Jacobian matrix obtained by linearizing the system around the equilibrium point. This paper deals with both continuous systems and discrete systems

Keywords

Jacobian matrices; eigenvalues and eigenfunctions; fuzzy systems; linearisation techniques; stability; Jacobian matrix; TSK fuzzy state space model; TSK fuzzy systems; Takagi-Sugeno-Kang fuzzy state space model; eigenvalues; equilibrium points; stability analysis; stability verification; system linearization; Continuous time systems; Eigenvalues and eigenfunctions; Equations; Fuzzy sets; Fuzzy systems; Jacobian matrices; Space technology; Stability analysis; State-space methods; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems Proceedings, 1998. IEEE World Congress on Computational Intelligence., The 1998 IEEE International Conference on

Conference_Location

Anchorage, AK

ISSN

1098-7584

Print_ISBN

0-7803-4863-X

Type

conf

DOI

10.1109/FUZZY.1998.687546

Filename

687546