%J 2010 American Control Conference
%C 30 June- 2nd July , 2010
%B American Control Conference
%X 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.
%D 2010
%L eprints428
%K 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
%A M.C.F. Donkers
%A W.P.M.H. Heemels
%A Daniele Bernardini
%A Alberto Bemporad
%A Vsevolod Shneer
%I IEEE
%O Proceeding of the American Control Conference, Baltimore, MD, 2010
%T Stability analysis of stochastic networked control systems
%P 3684 -3689