Event-triggered H∞ output feedback control for discrete Markov jump systems with quantizations

This study is on H_∞ output feedback control design for a class of discrete Markov jump systems with event-triggered scheme and quantizations. First, an event-triggered communication scheme is proposed. Second, a novel Markov jump time-delay system model with external disturbances is established, bearing in mind the influence of network delay. Next, we set two quantizers, one in the sensor-controller channel, and the other in the controller-actuator channel. As a result, the sufficient conditions are obtained to guarantee the stability and H_∞ control performance of the closed-loop system, and to present the output feedback controller design. Finally, an example is given to demonstrate the effectiveness of the proposed method.