Stability Domain Study of Discrete TSK Fuzzy Systems

Author

Benrejeb, Mohamed ; Sakly, Anis ; Soudani, Dhaou ; Borne, Pierre

Author_Institution

LA.R.A.,, Ecole Nationale d´´Ingenieurs de Tunis

Volume

1

fYear

2006

fDate

4-6 Oct. 2006

Firstpage

293

Lastpage

298

Abstract

The paper deals with the impact of the choice of conjunctive operator between input variables of discrete TSK fuzzy models, t-norm, on stability domain estimation. The approach is based on stability conditions issued from vector norms corresponding to a vector-Lyapunov function. In particular, second order discrete TSK models are considered and this work concludes that Zadeh´s t-norm, logic product min, gives the largest estimation of stability domain

Keywords

Lyapunov methods; discrete systems; estimation theory; fuzzy systems; stability; arrow form matrix; conjunctive operator; discrete TSK fuzzy systems; discrete nonlinear systems; logic product min; stability domain estimation; stability domain study; t-norm; vector norms; vector-Lyapunov function; Bismuth; DC motors; Equations; Fuzzy control; Fuzzy systems; Input variables; Logic; Nonlinear systems; Stability; Systems engineering and theory; Descrete nonlinear systems; arrow form matrix; discrete TSK fuzzy model; stability domain; t-norm; vector norm;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Engineering in Systems Applications, IMACS Multiconference on

Conference_Location

Beijing

Print_ISBN

7-302-13922-9

Electronic_ISBN

7-900718-14-1

Type

conf

DOI

10.1109/CESA.2006.4281666

Filename

4281666