Stability of Model-Based Networked Control Systems with Time-Varying Transmission Times

Luis Montestruque and Panos J.Antsaklis

IEEE Transactions on Automatic Control, Special Issue on Networked Control Systems
Vol. 49, No. 9, pp.1562-1572, September 2004

Abstract—In model-based networked control systems (MB-NCSs), an explicit model of the plant is used to produce an estimate of the plant state behavior between transmission times. In this paper, the stability of MB-NCSs is studied when the controller/actuator is updated with the sensor information at nonconstant time intervals. Networked control systems with transmission times that are varying either within a time interval or are driven by a stochastic process with identically independently distributed and Markov-chain driven transmission times are studied. Sufficient conditions for Lyapunov stability are derived. For stochastically modeled transmission times almost sure stability and mean-square sufficient conditions for stability are introduced.

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