A two-layer multiple Lyapunov functions based stabilization control of switched fuzzy systems

Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 6th IEEE International Conference Intelligent Systems (IS), 2012 6-8 Sept. 2012, Sofia, Bulgaria ; proceedings.The stabilization problem for a class of continuous switched fuzzy systems is investigated. Based on the multiple Lyapunov functions method either in switched systems or in fuzzy systems, we present a two layers multiple Lyapunov functions approach and give a stability condition for uncontrolled switched fuzzy systems and a stabilization condition for closed-loop switched fuzzy systems under a switching law. Simultaneously, state feedback controllers with the time derivative information of membership functions are designed. A numerical example along with simulation results demonstrates the effectiveness of the proposed approach.This work was supported in part by the NSFC of P.R. China (grants 61174073 and 908160028) and by the Ministry of Education & Science of R. Macedonia (grant 14-3145/1-17.12.2007), and also by the Fund for Science of Dogus University, Istanbul, R. Turkey