Event-Triggered Synchronization of Saturated Lur’e-type Systems

The purpose of this paper is to devise an event-triggered control strategy for the master-slave synchronization of Lur’e-type discrete-time systems with input saturation. From Lyapunov theory, conditions in the form of linear matrix inequalities are derived in order to ensure regional (or global, when possible) asymptotic synchronization of the slave system. Considering an a priori given stabilizing synchonization error feedback controller, the event generator design is addressed in two scenarios for the system nonlinearity: a genenal sector-bounded and a piecewise-linear function. Aiming at reducing the number of events (control updates), convex optimization problems are proposed to determine the triggering function parameters. A numerical example demonstrates the application of the proposed method.