Sliding Mode Control of Markovian Jump System via an Event-triggered Mechanism

This paper is concerned with event-triggered sliding mode controller design for Markovian jump system. First, event-triggered sliding mode dynamics combined with an integral-type switching function are derived. Then, stochastic stability is analyzed and sufficient conditions for co-designing both switching function and trigger parameters are presented. Furthermore, a discontinuous control law is synthesized to drive state trajectories onto the desired sliding surface in a finite time and remain there for all subsequent time. Finally, simulation results show the effectiveness of the proposed design method.