Event-triggered master-slave synchronization with sampled-data communication

In this brief, the event-triggered synchronization is investigated for a class of heterogeneous master-slave coupling systems consisting of a high-dimensional master system but a low-dimensional slave system. An event-triggered sampled-data transmission strategy is designed, which allows the event-triggered condition to be examined only at sampling instants. With the assumption that only some sampled-data outputs of the master system are available to the slave system, a kind of observer-based synchronization controller is constructed and utilized. Based on a delayed-input approach, the master-slave synchronization problem is equivalently converted into the asymptotical stability problem of a time-delay system. By constructing an appropriate Lyapunov-Krasovskii functional and employing the free-weighting matrix approach, some sufficient synchronization criteria in terms of linear matrix inequalities are derived. Numerical simulations are finally provided to verify the theoretical results.