Event-Triggered Sliding Mode Control for Singular Markovian Jump Systems

In this paper, the design of event-triggered sliding mode controller for singular Markovian jump systems is studied. Firstly, the event-triggered sliding mode control (ETSMC) law is designed, it can ensure the reachability of sliding surface. Then for singular Markovian jump systems, a lemma is given to overcome the difficulties arising from the ETSMC strategy. Secondly, a set of sufficient condition is proposed by using Lyapunov function method to ensure the stochastic admissibility of the sliding mode dynamics. Then, a positive lower bound of the inter execution time can be ensured, which illustrates that the Zeno behavior does not occur. Finally, the simulation is given to reflect the effectiveness of theoretical results in this paper.