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Event-triggered control for networked Markovian jump systems. (English) Zbl 1338.93348

Summary: The problem of \(H_\infty\) control for networked Markovian jump system under event-triggered scheme is studied in this paper. In order to reduce the utilization of limited network bandwidth, a dynamic discrete event-triggered scheme to choose the transmitted data is designed. A Markovian jump time-delay system model is employed to describe the event-triggered scheme and the network related behavior, such as transmission delay, data package dropout, and disorder. Furthermore, a sufficient condition is derived to guarantee that the resulting closed-loop system is stable and has a prescribed performance index. A co-design method for the \(H_\infty\) controller and the event-triggered scheme is then proposed. The effectiveness and potential of the theoretic results obtained are illustrated by a simulation example.

MSC:

93E03 Stochastic systems in control theory (general)
60J75 Jump processes (MSC2010)
93C65 Discrete event control/observation systems
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