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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. In: American Control Conference. IEEE, 3684 -3689 . ISBN 978-1-4244-7426-4 (2010)

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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. Communication constraints impose that, per transmission, only one sensor or actuator node can access the network and send its information. Which node is given access to the network at a transmission time is orchestrated by a so-called network protocol. This paper considers NCSs, in which the transmission intervals and transmission delays are described by a random process, having a continuous probability density function (PDF). By focussing on linear plants and controllers and periodic and quadratic protocols, we present a modelling framework for NCSs based on stochastic discrete-time switched linear systems. Stability (in the mean-square) of these systems is analysed using convex overapproximations and a finite number of linear matrix inequalities. On a benchmark example of a batch reactor, we illustrated the effectiveness of the developed theory.

Item Type: Book Section
Additional Information: Proceeding of the American Control Conference, Baltimore, MD, 2010
Projects: WIDE-224168 project.
Funders: This work is supported by the European Community through the FP7- ICT-2007-2 thematic programme under the WIDE-224168 project.
Uncontrolled Keywords: communication constraints; continuous probability density function;linear matrix inequalities; network protocol; packet dropouts; quadratic protocols; stability analysis; stochastic discrete time switched linear systems; stochastic networked control systems; time varying transmission delays; discrete time systems; distributed control; linear matrix inequalities; linear systems; protocols; stability; stochastic systems
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 08:29
Last Modified: 17 Nov 2011 11:10
URI: http://eprints.imtlucca.it/id/eprint/428

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