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Stability analysis of stochastic networked control systems

Donkers, M.C.F. and Heemels, W.P.M.H. and Bernardini, Daniele and Bemporad, Alberto and Shneer, Vsevolod Stability analysis of stochastic networked control systems. Automatica, 48 (5). pp. 917-925. ISSN 0005-1098 (2012)

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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.

Item Type: Article
Identification Number: 10.1016/j.automatica.2012.02.029
Uncontrolled Keywords: Communication protocols; Networked control systems; Parameter-varying systems; Stochastic control; Switched systems
Subjects: Q Science > QA Mathematics > QA76 Computer software
T Technology > TK Electrical engineering. Electronics Nuclear engineering
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 16 Nov 2011 11:52
Last Modified: 09 May 2012 10:30
URI: http://eprints.imtlucca.it/id/eprint/1005

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