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Robust l 2 − l ∞ dynamic output feedback control design for uncertain discrete‐time switched systems with random time‐varying delay

Mohamed Amin Regaieg Mourad Kchaou 1 Jérôme Bosche 2 Ahmed El Hajjaji 3
1 CEM Lab - ENIS - Département de Génie Électrique de Sfax [ENIS]
2 UPJV - Université de Picardie Jules Verne
3 MIS - Modélisation, Information & Systèmes
Abstract : 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 l2−l∞ 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 l2−l∞ performance against uncertainties and external disturbance. Finally, representative examples are given to demonstrate the validity and the merit of the proposed design technique.
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https://hal.inria.fr/hal-03024945
Contributor : Ahmed El Hajjaji <>
Submitted on : Thursday, November 26, 2020 - 9:48:03 AM
Last modification on : Friday, November 27, 2020 - 3:04:59 AM

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Mohamed Amin Regaieg, Mourad Kchaou, Jérôme Bosche, Ahmed El Hajjaji. Robust l 2 − l ∞ dynamic output feedback control design for uncertain discrete‐time switched systems with random time‐varying delay. International Journal of Adaptive Control and Signal Processing, Wiley, 2020, 34 (8), pp.1035-1058. ⟨10.1002/acs.3122⟩. ⟨hal-03024945⟩

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