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Robust l2−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 ( IF 3.1 ) Pub Date : 2020-06-08 , DOI: 10.1002/acs.3122
Mohamed Amin Regaieg 1, 2 , Mourad Kchaou 2, 3 , Jérôme Bosche 1 , Ahmed El Hajjaji 1
Affiliation  

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 l2l 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 l2l performance against uncertainties and external disturbance. Finally, representative examples are given to demonstrate the validity and the merit of the proposed design technique.

中文翻译:

具有随机时变时滞的不确定离散时间切换系统的鲁棒l2-l∞动态输出反馈控制设计

本文针对一类具有不确定性和随机时变时滞的切换系统,解决了鲁棒的输出反馈控制设计问题。我们的目的是致力于设计全阶动态输出反馈控制器和适当的切换规则,以确保所得到的闭环切换系统的指数均方稳定性与2 -性能水平。所提出的控制方案的吸引人的方面包括:(a)所述的基于LMI延迟依赖性充分条件的随机混合系统的指数稳定性分析使用增强的Lyapunov-Krasovskii泛函,分隔技术和选用合适的发展平均停留时间,(b)中保守还原的统一设计的条件下,和(c)设计的鲁棒性表现出与控制器2 -对不确定性和外部干扰的性能。最后,给出了有代表性的例子来证明所提出的设计技术的有效性和优点。
更新日期:2020-06-08
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