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Bibliographic Details
Main Authors: Tang, Valdemar, Gomes, Claudio, Lucani, Daniel
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.14473
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author Tang, Valdemar
Gomes, Claudio
Lucani, Daniel
author_facet Tang, Valdemar
Gomes, Claudio
Lucani, Daniel
contents We introduce a novel event-trigger threshold (ETT) regulation mechanism based on the quantitative semantics of propositional logic (PL). We exploit the expressiveness of the PL vocabulary to deliver a precise and flexible specification of ETT regulation based on system requirements and properties. Additionally, we present a modified ETT regulation mechanism that provides formal guarantees for satisfaction/violation detection of arbitrary PL properties. To validate our proposed method, we consider a convoy of vehicles in an adaptive cruise control scenario. In this scenario, the PL operators are used to encode safety properties and the ETTs are regulated accordingly, e.g., if our safety metric is high there can be a higher ETT threshold, while a smaller threshold is used when the system is approaching unsafe conditions. Under ideal ETT regulation conditions in this safety scenario, we show that reductions between 41.8 - 96.3% in the number of triggered events is possible compared to using a constant ETT while maintaining similar safety conditions.
format Preprint
id arxiv_https___arxiv_org_abs_2408_14473
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Precision on Demand: Propositional Logic for Event-Trigger Threshold Regulation
Tang, Valdemar
Gomes, Claudio
Lucani, Daniel
Systems and Control
Logic in Computer Science
We introduce a novel event-trigger threshold (ETT) regulation mechanism based on the quantitative semantics of propositional logic (PL). We exploit the expressiveness of the PL vocabulary to deliver a precise and flexible specification of ETT regulation based on system requirements and properties. Additionally, we present a modified ETT regulation mechanism that provides formal guarantees for satisfaction/violation detection of arbitrary PL properties. To validate our proposed method, we consider a convoy of vehicles in an adaptive cruise control scenario. In this scenario, the PL operators are used to encode safety properties and the ETTs are regulated accordingly, e.g., if our safety metric is high there can be a higher ETT threshold, while a smaller threshold is used when the system is approaching unsafe conditions. Under ideal ETT regulation conditions in this safety scenario, we show that reductions between 41.8 - 96.3% in the number of triggered events is possible compared to using a constant ETT while maintaining similar safety conditions.
title Precision on Demand: Propositional Logic for Event-Trigger Threshold Regulation
topic Systems and Control
Logic in Computer Science
url https://arxiv.org/abs/2408.14473