Modeling and stochastic control of networked control system with packet losses

In this paper, the modeling and controller design problems of the NCS (Networked Control System) with Markovian packet losses are investigated. In particular, we consider a very general case where there exist some unknown or unavailable elements in the transition probabilities matrix of the Markovian packet-loss process. First, the NCS with packet losses is modeled as a Markovian jump linear system(MJLS) by variable sampling period method. Then, sufficient conditions for the stochastic stability of the closed-loop NCS are obtained via MJLS theories and the packet-loss-dependent Lyapunov function approach. Moreover, packet-loss-dependent stabilizing controller is designed with linear matrix inequalities (LMIs) formulation. Finally, a numerical example is given to illustrate the positive effectiveness of the proposed method.