H∞ Control for Uncertain Discrete-Time Switched Systems with Time-Delay based on LMI

Y. Zhang and G.-R. Duan (PRC)


Switched systems, discrete-time systems, time-delay, H control, LMI


This paper deals with the problem of H control for uncertain discrete-time switched systems with time-delay under arbitrary switching laws based on linear matrix inequality (LMI). A sufficient condition on the existence of an H state feedback control law is addressed. Furthermore, a convex optimization problem which can minimize the upper bound of the H norm bound is formulated to design the H controller. A numerical example demonstrates the effect of the proposed design approach.

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