Stochastic switched controller design of networked control systems with a random long delay

The problem of stabilizing Networked Control Systems (NCSs) with random but bounded delays is discussed in this paper. By using an augmented state-space method, this class of problem can be modeled as a discrete-time jump linear system governed by finite-state Markov chains. As the network-induced time vary delay of NCSs changes along with the network transferring route and the network load, results in systems becoming instable with controller designs based on a fixed transition matrix, we firstly make use of the V-K iteration algorithm to design m groups of stabilizing controllers that satisfy different m transition matrixes, and then constitute a switched controller for them and a switch. The simulation shows that if the switched controller is used to stabilize the discrete-time jump linear system, this system not only has a larger stabilizing span, but also has better dynamic stabilizing characters compared to those with only one group of controllers. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society