Stochastic stabilization of saturated Markovian jump systems with packet dropouts and partial information of transition probabilities

The stochastic stabilization problem for a class of discrete-time saturated Markovian jump systems (MJS) subject to partial information of transition probabilities and packet dropouts is addressed in this paper. The considered stochastic packet dropouts are independent and Bernoulli distributed. First, we propose a discrete-time model for MJS with saturating actuator and packet dropouts where an upper bound on the number of subsequent packet dropouts that can occur is assumed. Based on this model, sufficient conditions for the stochastic stability of the closed-loop MJS are then presented, and the relation between the packet dropout rate and the stability of the closed-loop MJS is explicitly established. Finally, the validity of the result is demonstrated via an illustrative example.