Robust H∞ output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions

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.