Event-triggered control design for discrete-time saturating Markov jump systems with quantization

In this paper, the control design for discrete-time saturating Markov jump system with quantization under event-triggered strategy is concerned. Due to the physical constraint, actuator saturation exists in practical systems generally which may effect the system performance. With ensuring the stochastic stabilizability, event-triggered strategy is introduced in the Markov jump system to reduce communication burden. Sufficient conditions for stochastic stabilization of the saturating systems with partially known transition probabilities and quantization are inferred by linear matrix inequality formulation. To obtain the biggest domain of attraction in mean square sense, an optimization algorithm is proposed. Finally, the numerical example is provided to illustrate the effectiveness of the given method.