Quasi-synchronization of parameter mismatch drive-response systems: A self-triggered impulsive control strategy

Abstract

The objective of this paper is to research the quasi-synchronization of parameter mismatch drive–response systems via a self-triggered impulsive control (STIC) strategy. In the proposed STIC strategy, the impulsive instants are determined by a carefully crafted self-triggered mechanism (STM). In contrast to the event-triggered impulsive control (ETIC), which continuously supervises an event-triggered condition to determine whether to generate an impulse, the proposed STIC strategy predicts the next impulsive instant using the last impulsive instant and measurable information, eliminating continuous event monitoring. By means of the presented STIC strategy, some sufficient quasi-synchronization conditions and error bound for parameter mismatch drive–response systems are obtained. Moreover, the Zeno-behavior can be eliminated for the impulsive instants. The effectiveness of the proposed STIC strategy is demonstrated through two numerical examples.