Event-Triggered Impulsive Control: A Survey

An event-triggered impulsive control (ETIC) approach has attracted considerable attention in both theoretical and practical fields, as it ensures that control resources are deployed solely at moments of strict necessity, thereby significantly reducing the control frequency without compromising system performance. This survey aims to provide a timely, structured, and indepth overview of recent advances in ETIC. First, a brief introduction of impulsive control and ETIC is given, analysing the advantages of ETIC over the traditional time-triggered impulsive control. Second, the representative results and methodologies reported in ETIC are generally classified from the perspective of structural characteristics of event-triggering mechanisms (ETMs), and the fundamental principles underlying each type of ETM are elaborated in detail. Third, the common methods used to exclude the Zeno behavior in recent ETIC results are presented in detail. Then, an indepth analysis is made on several categories of theoretical results on the stability problem based on ETIC. Fourth, applications of ETIC in practical scenarios, including motor servo systems, chemical reactor systems, and wheeled robots, are provided. Finally, some challenging issues on ETIC are proposed to guide future research.