Event triggering control for dynamical systems with designable minimum inter-event time

TL;DR

This paper introduces a new class of event-triggering rules for dynamical control systems that ensure a guaranteed positive minimum inter-event time, improving robustness and practical implementation for nonlinear and linear systems.

Contribution

It proposes a novel event-based function design with guaranteed control performance and flexible MIET adaptation, enhancing existing static and dynamic triggering mechanisms.

Findings

Proposed triggering rules ensure positive MIET.

Rules are robust and easily implementable on digital platforms.

Numerical simulations validate theoretical results.

Abstract

This paper presents a class of event-triggering rules for dynamical control systems with guaranteed positive minimum inter-event time (MIET). We first propose an event-based function design with guaranteed control performance under a clock-like variable for general nonlinear systems, and later specify them to general linear systems. Compared to the existing static and dynamic triggering mechanisms, the proposed triggering rules hold the robust global event-separation property, and can be easily implemented on practical digital platform. Namely, it is shown that the minimum inter-event time can be flexibly adapted to the various hardware limitations. Finally, several numerical simulations are given to illustrate the theoretical results.