Stability analysis of stochastic networked control systems

被引：197

作者：

Donkers, M. C. F. ^{[1
]}

Heemels, W. P. M. H. ^{[1
]}

Bernardini, D. ^{[2
]}

Bemporad, A. ^{[3
]}

Shneer, V. ^{[4
]}

机构：

[1] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands

[2] Univ Trent, Dept Mech & Struct Engn, I-38100 Trento, Italy

[3] IMT Inst Adv Studies Lucca, I-55100 Lucca, Italy

[4] Heriot Watt Univ, Sch Math & Comp Sci, Edinburgh EH14 4AS, Midlothian, Scotland

来源：

AUTOMATICA | 2012年 / 48卷 / 05期

关键词：

Communication protocols; Networked control systems; Parameter-varying systems; Stochastic control; Switched systems;

D O I：

10.1016/j.automatica.2012.02.029

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：917 / 925

页数：9

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