Title :
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
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;
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
DOI :
10.1109/CESA.2006.4281666
