Event-triggered sliding mode control of networked control systems with Markovian jump parameters

This paper deals with sliding mode control for networked Markovian jump systems with partiallyknown
transition probabilities via an event-triggered scheme to reduce network bandwidth usage
and save network resources. First, based on the analysis of event-triggered scheme and sliding mode
control, a corresponding time-delay system model is constructed by investigating the effect of the
network transmission delay. Then, the less-conservative mean-square asymptotic stability of the
overall closed-loop system is established. Sufficient conditions are obtained to co-design both the
switching function and trigger parameters. Simultaneously, a novel control scheme is used to handle
the Markovian jump parameters. Cases of completely known or unknown probabilities transition
probabilities are also presented. Furthermore, the reachability of the sliding surface under the eventtriggered
sliding mode controller is analyzed using the Lyapunov stability theory. Finally, simulation
results are provided to verify the effectiveness of the proposed design schemes.