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Event-triggered PDE-based control of freeway traffic flow with connected/automated vehicles

Wang, Xinyong, Tang, Ying, Espitia, Nicolas, Bekiaris-Liberis Nikolaos

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URIhttp://purl.tuc.gr/dl/dias/691B2089-57FB-4899-8112-9D4BC92C0F29-
Identifierhttps://doi.org/10.1093/imamci/dnaf027-
Languageen-
Extent32 pagesen
TitleEvent-triggered PDE-based control of freeway traffic flow with connected/automated vehiclesen
CreatorWang, Xinyongen
CreatorTang, Yingen
CreatorEspitia, Nicolasen
CreatorBekiaris-Liberis Nikolaosen
CreatorΜπεκιαρης-Λυμπερης Νικολαοςel
PublisherOxford University Pressen
DescriptionFunded by the European Union (ERC, C-NORA, 101088147). Views and opinions expressed are however those of the authors only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.en
Content SummaryThis paper addresses the event-triggered control problem for a modified Aw-Rascle-Zhang (ARZ) traffic model under congestion conditions. The considered ARZ-type model, described by non-linear first- order hyperbolic partial differential equations, represents traffic flow involving both adaptive cruise control-equipped (ACC-equipped) vehicles and human-driven vehicles. The control inputs are time-gap settings for ACC-equipped vehicles that are updated based on a suitable event-triggering condition. For the linearized and transformed system (a 2 × 2 linear hyperbolic system with in-domain control and dynamic boundary condition), we provide input-to-state stability estimates (in the sup-norm) with respect to actuation errors. Based on a small-gain approach, we design an appropriate triggering rule (yielding small-gain-based event triggering condition). We ensure the exponential stability in the sup-norm of the closed-loop system and Zeno-free behaviour. Numerical simulations illustrate the efficiency of the proposed control strategy in stabilizing traffic flow.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Date of Item2025-09-30-
Date of Publication2025-
SubjectEvent-triggered in-domain controlen
SubjectARZ traffic modelen
SubjectFirst-order hyperbolic PDEen
SubjectSmallgain approachen
Bibliographic CitationX. Wang, Y. Tang, N. Espitia, and N. Bekiaris-Liberis, "Event-triggered PDE-based control of freeway traffic flow with connected/automated vehicles," IMA J. Math. Control Inf., 2025. en

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