A new periodic event-triggered control scheme with guaranteed minimum inter-event times

Abstract

This paper proposes a new periodic event-triggered state-feedback control scheme to stabilize linear plants with bounded external disturbances, where the events are checked only at some discrete sampling instants and the inter-sampling times are not necessary to be periodic. By introducing some average signals on the state over one inter-event time interval, a new event-triggering condition is designed; and the corresponding system is formulated into a hybrid system model. Sufficient conditions on the design of event-triggering conditions are provided to ensure the input-to-state stability with respect to disturbances. Meanwhile, a guaranteed lower bound on minimum inter-event times is provided which is independent of the sampling behavior. This is helpful to improve transmission performance against time-varying inter-sampling times. Finally, simulation results are given to illustrate the efficiency and feasibility of the theoretical results.