Output Feedback Stabilization of Networked Control Systems with Uncertain Transition Probability Matrix

In this paper, the output feedback stabilization problem for a class of discrete-time networked control systems (NCSs) with uncertain transition probability matrix and random packet dropouts are investigated. Random packet dropouts occurring in the sensor-to-controller (S-C) and controller-to-actuator (C-A) are modeled as Markov chain. The resulting closed-loop systems are modeled as discrete-time Markovian jump linear systems (MJLSs) with uncertain transition probability matrix. Sufficient conditions for existence of a output feedback controller which guarantees the stochastic stability of NCS are established based on stochastic Lyapunov function and linear matrix inequality approach. A simulation example illustrates the validity and feasibility of the results.