Event-Triggered Impulsive Stabilization of Systems With External Disturbances

In this article, we investigate the robust stabilization of linear time-invariant (LTI) systems with external disturbances via event-triggered impulsive control (ETIC). Especially, in order to suppress the disturbances effectively, the impulsive instant sequence is generated through the sliding-variable-based event-triggering mechanism (ETM). Based on the proposed ETM, some sufficient conditions are derived to ensure the robust stabilization of the LTI systems and to exclude Zeno phenomenon. It is shown that the system states are ultimately bounded under the ETIC, and the ultimate bound can be arbitrarily small by selecting the appropriate parameter of ETM. More interestingly, it is proved that our obtained results can well deal with the case of unknown bounded external disturbances, which is often addressed by the adaptive control in the previous results. Then, the theoretical results are applied to the motor servo systems in the presence of external disturbances. Finally, two illustrative examples are presented to show the validity of the results.