Rollout event-triggered control: reconciling event- and time-triggered control

TL;DR

This paper introduces rollout event-triggered control, a method that combines the benefits of event- and time-triggered control, ensuring bandwidth compliance, adaptability, and performance guarantees in networked control systems.

Contribution

It unifies two variants of rollout ETC under a common framework and establishes conditions for convergence, bandwidth compliance, and performance bounds.

Findings

Rollout ETC satisfies a performance bound.

It allows flexible transmission scheduling.

The method ensures convergence and bandwidth compliance.

Abstract

Event-triggered control (ETC) and time-triggered control (TTC), the classical concepts to determine the transmission instants for networked control systems, each come with drawbacks: It is difficult to tune ETC such that a certain bandwidth is respected, whereas TTC cannot adapt the sampling interval to the current state of the control system. In this article, we provide an overview over rollout ETC, a method aimed at reconciling the advantages of ETC and TTC. We unite two variants of rollout ETC under a common framework and present conditions for convergence and compliance with a predefined bandwidth limit. Furthermore, we demonstrate that rollout ETC satisfies a performance bound and that it allows for a very flexible transmission scheduling similar to classical ETC. The mentioned beneficial properties are illustrated through extensive numerical simulations.