Stability analysis of stochastic networked control systems

M.C.F. Donkers, W.P.M.H. Heemels, D. Bernardini, A. Bemporad, V. Shneer

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Abstract

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.
Original languageEnglish
Pages (from-to)917-925
JournalAutomatica
Volume48
Issue number5
DOIs
Publication statusPublished - 2012

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Stochastic control systems
Networked control systems
Random variables
Batch reactors
Linear matrix inequalities
Controllers
Communication

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Donkers, M.C.F. ; Heemels, W.P.M.H. ; Bernardini, D. ; Bemporad, A. ; Shneer, V. / Stability analysis of stochastic networked control systems. In: Automatica. 2012 ; Vol. 48, No. 5. pp. 917-925.
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Stability analysis of stochastic networked control systems. / Donkers, M.C.F.; Heemels, W.P.M.H.; Bernardini, D.; Bemporad, A.; Shneer, V.

In: Automatica, Vol. 48, No. 5, 2012, p. 917-925.

Research output: Contribution to journalArticleAcademicpeer-review

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AU - Shneer, V.

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