Input-to-State Stabilization of Semilinear Systems via Aperiodically Intermittent Event-Triggered Control

This article is concerned with the input-to-state stabilization problem for semilinear systems via aperiodically intermittent event-triggered control. Two types of hypotheses are considered for the aperiodicity of the intermittent control, which are the quasiperiodicity condition and the average activation time ratio condition, respectively. As for the quasiperiodicity condition, which has been widely used in previous works, we obtain that if the decay rate during control activation interval can suppress the increasing rate during the control rest interval in each period, then the input-to-state stability can be guaranteed. As for the average activation time ratio condition, by designing an auxiliary timer to make a compromise between control activation intervals and control rest intervals, we obtain that a larger value of the average activation time length over each unit time interval makes it easier to achieve the input-to-state stability. Moreover, the control gain and event-triggered parameters are jointly designed according to the feasibility of some matrix inequalities. Finally, numerical simulation examples illustrate the validity of the theoretical results.