Brief paper: Stability analysis of stochastic networked control systems

Authors:
M. C. F. Donkers;W. P. M. H. Heemels;D. Bernardini;A. Bemporad;V. Shneer
Affiliations:
Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands;Department of Mechanical Engineering, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, The Netherlands;Department of Mechanical and Structural Engineering, University of Trento, Via Mesiano 77, 38100 Trento, Italy;IMT Institute for Advanced Studies Lucca, Piazza San Ponziano 6, 55100 Lucca, Italy;School of Mathematical and Computer Sciences, Heriot-Watt University, Edinburgh EH14 4AS, UK
Venue:
Automatica (Journal of IFAC)
Year:
2012

Citing 2
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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.