The event-based asynchronous control for networked Markov jump systems with time delay

This paper focuses on event-triggered H∞ control for a class of networked Markov jump systems (NMJSs) with time delay. Subsystems and event triggers with synchronous switching are described as Markov models, but asynchronous controllers and subsystems are described as hidden Markov models (HMM). In order to improve the utilisation of network resources and reduce the trigger exception caused by external disturbance, the event trigger mechanism (ETM) based on the system model and external disturbance is designed with a trigger upper bound. Additionally, to reduce the impact of network delays and external disturbances, a stability condition is obtained using the Lyapunov function, and the asynchronous H∞ controller based on event triggering and time-delay compensation is designed by solving it with linear matrix inequality (LMI) techniques. Comparative simulation examples validate the effectiveness of the proposed method.