Output feedback control of networked control systems with random time delay

This paper deals with the mode-dependent static output feedback stabilization problem of linear networked control systems (NCSs) with the effect of the network-induced time delays. The overall delays induced by communication channel are modeled as a Markov chain which is believed to be an ideal model of random time delay. The resulting closed-loop system is transformed to a Markovian jump linear system (MJLS) with mode-dependent delay. Based on the Lyapunov-Krasovskii functional technique, a new delay dependent stability criteria for the networked control system is derived and a mode-dependent output feedback controller is designed. The results are formulated in terms of linear matrix inequalities (LMIs). Output feedback gain can then be derived by using the feasible solution of LMIs. A simulation example is given finally to demonstrate the feasibility and effectiveness of the proposed approach.