A two-layer multiple Lyapunov functions based stabilization control of switched fuzzy systems
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KünyeDimirovski, G. M., & Luo, J. (2012). A two-layer multiple Lyapunov functions based stabilization control of switched fuzzy systems. In 2012 6th IEEE International Conference Intelligent Systems (IS) (pp. 258-263). Piscataway, NJ: IEEE. http://dx.doi.org/10.1109/IS.2012.6335227
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.