Delay-Dependent Stabilization of Discrete-Time Systems With Time-Varying Delay via Switching Technique
Delay-Dependent Stabilization of Discrete-Time Systems With Time-Varying Delay via Switching Technique
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DOI：
10.1115/1.4006218
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发表时间：
2012-07
影响因子：
1.7
通讯作者：
Hui Zhang;Yang Shi
中科院分区：
文献类型：
--
作者：
Hui Zhang;Yang Shi
本文研究了具有时滞发生概率的时滞离散系统的镇定问题。利用增广技术，我们将随机时滞离散时间系统转化为具有随机变量的无时滞系统。我们建议设计一系列的时滞相关控制器。根据在每个采样时刻测量的时间延迟来选择所实现的控制器。当延迟是随机时变的，实现的控制器切换在一个设计的控制器集。最后通过算例验证了稳定性条件的有效性，并通过另一个算例验证了所提设计算法的适用性。
In this paper, we investigate the stabilization problem of time-delay discrete-time systems with occurrence probabilities for time delays. Using an augmenting technique, we convert random time-delay discrete-time systems to delay-free systems with stochastic variables. We propose to design a sequence of delay-dependent controllers. The implemented controller is chosen according to the measured time delay at each sampling instant. When the delay is randomly time-varying, the implemented controller is switched in a designed controller set. An example is provided to illustrate the effectiveness of the stability condition and another example is offered to show the applicability of the proposed design algorithm.