Chaos and Order in Event-Triggered Control

Chaos and Order in Event-Triggered Control

de Albuquerque Gleizer, G. (TU Delft Team Tamas Keviczky)
Mazo, M. (TU Delft Team Manuel Mazo Jr)

2023

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.

Behavioral sciences
Chaotic communication
chaotic systems
computational methods
Event-triggered control
Extraterrestrial measurements
hybrid systems
Linear systems
Measurement
sampled-data control
Traffic control
Trajectory

http://resolver.tudelft.nl/uuid:3686f467-aeb4-4263-9590-9f4d61c20b6b

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

2023-08-06

0018-9286

IEEE Transactions on Automatic Control, 68 (11), 6541-6556

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Institutional Repository

journal article

© 2023 G. de Albuquerque Gleizer, M. Mazo