Generalized sliding event-triggered control for dissipative performance of Markov switching dynamic systems

In this paper, a generalized sliding event-triggered control for the closed-loop Markov switching systems (CLMSSs) is studied. It is proved that the system is driven to the designed sliding mode surface under a given sliding mode controller. A generalized sliding event-triggered controller is developed to obtain strictly (Q, S, R) -gamma-dissipative performance of CLMSSs, in which the combination of sliding mode control and event-triggering protocol makes the control performance more efficient and generalized. Further, two dissipative criteria for CLMSSs are established. Finally, the results of numerical simulations give a witness for the effectiveness of the given theorems and methods.