Robust l2-l∞ dynamic output feedback control design for uncertain discrete-time switched systems with random time-varying delay

This article deals with the problem of robust output feedback control design for a class of switched systems with uncertainties and random time-varying delay. Our purpose is focused on designing a full order dynamic output feedback controller and an appropriate switching rule to ensure the exponential mean square stability of the resulting closed-loop switching system with an l(2)-l(infinity) performance level. The appealing aspects of the proposed control scheme include: (a) the development of LMI based delay-dependent sufficient conditions for the exponential stability analysis of the stochastic hybrid systems using the appropriate choice of the augmented Lyapunov-Krasovskii functional, the partitioning technique and the average dwell time, (b) conservatism reduction of the unified design conditions, and (c) the controller designed exhibiting robustness with l(2)-l(infinity) performance against uncertainties and external disturbance. Finally, representative examples are given to demonstrate the validity and the merit of the proposed design technique.