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

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2 Author(s)
Dymirkovsky, G. ; Sch. of Eng., Dogus Univ., Istanbul, Turkey ; Jinming Luo

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.

Published in:

Intelligent Systems (IS), 2012 6th IEEE International Conference

Date of Conference:

6-8 Sept. 2012

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