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首页> 外文期刊>International journal of systems,control and communications >Delay-dependent admissibility and control of discrete-time switched singular systems with time-delay
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Delay-dependent admissibility and control of discrete-time switched singular systems with time-delay

机译：随着时间延迟的延迟依赖性可允许和控制离散时间切换奇异系统

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摘要

This paper is concerned with the problems of admissibility and control for a class of discrete-time switched singular systems with time-delay for arbitrary switching law. Firstly, a new delay-dependent sufficient condition is established in terms of linear matrix inequalities (LMIs) by constructing a novel Lyapunov-Krasovskii functional so that the discrete-time switched singular systems with time-delay to be regular, causal and asymptotically stable. The proposed criterion is proved to have some advantages over other existing results. Then, a state feedback controller is designed to guarantee the admissibility of the closed-loop switched singular delay system, by using the skills of matrix theory. Some slack variables are introduced for more relaxation. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed approach and to compare the obtained results with some existing ones in the literature.
机译：本文涉及随着任意切换法的时滞的一类离散时间切换奇异系统的可容许和控制问题。首先，通过构建新的Lyapunov-krasovskii功能，使得线性矩阵不等式（LMI）建立新的延迟依赖性足够的条件，使得离散时间切换的奇异系统具有常规，因果和渐近的稳定性。拟议的标准被证明是与其他现有结果的一些优势。然后，旨在通过使用矩阵理论的技能来保证闭环交换奇异延迟系统的可否受理控制器。引入了一些松弛变量以获得更多的放松。最后，提供了数值例子以证明所提出的方法的有效性，并将所获得的结果与文献中的一些现有的结果进行比较。

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