Stability analysis of stochastic Networked Control Systems
Stability analysis of stochastic Networked Control Systems
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DOI：
10.1016/j.automatica.2012.02.029
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发表时间：
2010-07
期刊：
影响因子：
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通讯作者：
M. Donkers;W. M. Heemels;Daniele Bernardini;A. Bemporad;V. Shneer
中科院分区：
文献类型：
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作者：
M. Donkers;W. M. Heemels;Daniele Bernardini;A. Bemporad;V. Shneer
本文研究了具有时变传输间隔、时变传输时延、丢包和通信约束的网络控制系统的稳定性。传输间隔和传输延迟由连续随机变量序列描述。这些随机变量的连续字符引入的复杂性，克服了使用一种新的凸overapproximation技术，保留了可用的概率信息。通过对线性对象和控制器的研究，提出了一种基于离散时间线性切换和参数变化系统的网络控制系统的建模框架。这些系统的稳定性（在均方）进行了分析，使用一种新的随机计算技术，导致在有限数量的线性矩阵不等式。我们说明了一个间歇式反应器的基准例子上的理论。
In this paper, we study the stability of Networked Control Systems (NCSs) that are subject to time-varying transmission intervals, time-varying transmission delays, packet dropouts and communication constraints. The transmission intervals and transmission delays are described by a sequence of continuous random variables. The complexity that the continuous character of these random variables introduces is overcome using a novel convex overapproximation technique that preserves the available probabilistic information. By focusing on linear plants and controllers, we present a modelling framework for NCSs based on discrete-time linear switched and parameter-varying systems. Stability (in the mean-square) of these systems is analysed using a new stochastic computational technique, resulting in a finite number of linear matrix inequalities. We illustrate the developed theory on the benchmark example of a batch reactor.