Chaos and Order in Event-Triggered Control

Journal article (2023)

Authors

G. de Albuquerque Gleizer Team Tamas Keviczky - Mechanical, Maritime and Materials Engineering

M. Mazo Team Manuel Mazo Jr - Mechanical, Maritime and Materials Engineering

Research Group

Team Tamas Keviczky (Mechanical, Maritime and Materials Engineering) (TU Delft)

DOI: https://doi.org/10.1109/TAC.2023.3242334

Measurement Computational methods Hybrid systems Sampled-data control Traffic control Event-triggered control Trajectory Linear systems Behavioral sciences Chaotic communication Chaotic systems Extraterrestrial measurements

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Published Date

2023

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Delft Center for Systems and Control

Research Group

Team Tamas Keviczky

Abstract

Event-triggered control (ETC) is claimed to provide significant reductions in sampling frequency when compared to periodic sampling, but little is formally known about its generated traffic. This work shows that ETC can exhibit very complex, even chaotic traffic, especially when the triggering condition is aggressive in reducing communications. First, by looking at the map dictating the evolution of states sampled, we characterize limit traffic patterns by observing invariant lines and planes through the origin, as well as their attractivity. Then, we present abstraction-based methods to compute limit metrics, such as limit average and limit inferior inter-sample time (IST) of periodic ETC (PETC), with considerations to the robustness of such metrics, as well as measuring the emergence of chaos. The methodology and tools allow us to find ETC examples that provably outperform periodic sampling in terms of average IST. In particular for PETC, we prove that this requires aperiodic or chaotic traffic.

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