Control and decision for a class of networked control systems

This paper discusses the hybrid control strategy for a class of networked control systems. The network channels could be divided into several statuses according to the delay difference in network. And the stochastic switching among these statuses is modeled as a Markov chain which is described by mode transition rate matrix(MTRM). Considering the network´s characteristics, the MTRM which varies slowly or keeps constant during a time interval is represented by one event. Thus all MTRMs compose a set of discrete events. And the probability of each MTRM´s occurring can be controlled by using hybrid control strategy which also ensures the stability of networked control system. A joint performance is developed contain cost function of decision and control. Based on this, a hybrid control strategy is proposed to ensure the networked control system works with high probability at low cost. By adopting the golden section algorithm and stochastic dynamical programming theory, the optimal controller and optimal decision are obtained. The effectiveness of this method is demonstrated by a simulation.