Event-triggered control for discrete-time linear systems subject to bounded disturbance

This paper considers event-triggering controller design for directly observable discrete-time linear systems subject to bounded disturbances. The main control objective is diminishing the influence aroused by the disturbances despite a reduction of the communication. Criteria are given to design feedback controllers in order to guarantee that systems are uniformly ultimately bounded in an ellipsoidal-positive invariant set, which is used as an estimate of control performance for disturbance rejection. An optimization for minimizing the ellipsoidal-positive invariant set is achieved by synthesizing the feedback control gain and the given event-triggering conditions in LMIs. The effectiveness and applicability of the controller are illustrated by simulations and experimental implementations.