eprintid: 1005
rev_number: 12
eprint_status: archive
userid: 6
dir: disk0/00/00/10/05
datestamp: 2011-11-16 11:52:29
lastmod: 2012-05-09 10:30:57
status_changed: 2012-05-09 10:30:57
type: article
metadata_visibility: show
creators_name: Donkers, M.C.F.
creators_name: Heemels, W.P.M.H.
creators_name: Bernardini, Daniele
creators_name: Bemporad, Alberto
creators_name: Shneer, Vsevolod
creators_id: 
creators_id: 
creators_id: daniele.bernardini@imtlucca.it
creators_id: alberto.bemporad@imtlucca.it
creators_id: 
title: Stability analysis of stochastic networked control systems
ispublished: pub
subjects: QA76
subjects: TK
divisions: CSA
full_text_status: none
keywords: Communication protocols; Networked control systems; Parameter-varying systems; Stochastic control; Switched systems
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.
date: 2012-05
date_type: published
publication: Automatica
volume: 48
number: 5
publisher: Elsevier 
pagerange: 917-925
id_number: 10.1016/j.automatica.2012.02.029
refereed: TRUE
issn: 0005-1098
official_url: http://www.sciencedirect.com/science/article/pii/S0005109812000805
citation:   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)