Exponential l2−l∞ output tracking control for discrete‐time switched system with time‐varying delay

SUMMARY The problem of exponential l2−l∞ output tracking control is considered in this paper for discrete-time switched systems with time-varying delay. The exponential l2−l∞ performance index is first introduced to study this problem for discrete-time switched systems. By resorting to the average dwell time approach and Lyapunov–Krasovskii functional technology, some new delay-dependent criteria guaranteeing exponential stability are developed. In addition, the corresponding solvability conditions using cone complement linearization method for the desired exponential l2−l∞ output tracking controller is established. A numerical example is provided to demonstrate the effectiveness of the obtained results. Copyright © 2011 John Wiley & Sons, Ltd.

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