Choice of conjunctive operator of TSK fuzzy systems and stability domain study

Authors:
Mohamed Benrejeb;Anis Sakly;Kamel Ben Othman;Pierre Borne
Affiliations:
LA.R.A., Ecole Nationale d'Ingénieurs de Tunis, BP 37, Belvédère 1002 Tunis, Tunisia;LA.R.A., Ecole Nationale d'Ingénieurs de Tunis, BP 37, Belvédère 1002 Tunis, Tunisia;LA.R.A., Ecole Nationale d'Ingénieurs de Tunis, BP 37, Belvédère 1002 Tunis, Tunisia;LAGIS, Ecole centrale de Lille, Cité scientifique-BP 48, F-59651 Villeneuve d'Ascq Cedex Lille, France
Venue:
Mathematics and Computers in Simulation
Year:
2008

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Abstract

This paper deals with the impact study of the choice of conjunctive operator between input variables of 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, for considered second-order TSK models we show that Zadeh's t-norm, logic product min, gives the largest estimation of stability domain.