The H_∞output feedback control problem for uncertain discrete-time switched systems is reasearched. A new characterization of stability and H_∞performance for the switched system under arbitrary switching is obtained by using switched Lyapunov function.Then,based on the characterization,a linear matrix inequality (LMI) approach is developed to design a switched output feedback controller which guarantees the stability and H_∞performance of the closed-loop system.A numerical example is presented to demonstrate the application of the proposed method.
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