Asynchronous Dissipative Control for Markov Jump Systems with Disturbance under Event-Triggered Mechanism

The problem of the asynchronous dissipative control is considered for Markov jump systems with disturbance. A mode-dependent event-triggered mechanism is introduced in the communication channel to reduce the burden of communication. The asynchronization between the controller and the system is described by hidden Markov model. Then, sufficient conditions are derived, which make the system with strictly $(Q,S,R)-a-\text{dissipative}$ performance. Furthermore, the event-triggered coefficients and mode-dependent controller gains could be solved at the same time. Finally, simulation example is provided to verify the feasibility of the derived results.