Event-triggered Sliding Mode Control for Piecewise Homogeneous Markovian Jump Systems

In this paper, the design of event-triggered sliding mode controller for piecewise homogeneous Markovian jump systems is studied. Firstly, the system is transformed into two low-order subsystems by linear transformation and a suitable linear sliding function is proposed. On this basis, an event-triggered mechanism is employed. Then, the sliding mode control law is designed such that the system trajectories can be forced and remained on the specified sliding surface. In addition, a set of new sufficient condition are proposed by using the Lyapunov function method, which ensures the stochastic stability of sliding mode dynamics. Finally, the proposed results are applied to a single link flexible manipulator system to reflect the effectiveness of the results.