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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-
Αναγνωριστικόhttps://doi.org/10.1093/imamci/dnaf027-
Γλώσσαen-
Μέγεθος32 pagesen
ΤίτλοςEvent-triggered PDE-based control of freeway traffic flow with connected/automated vehiclesen
ΔημιουργόςWang, Xinyongen
ΔημιουργόςTang, Yingen
ΔημιουργόςEspitia, Nicolasen
ΔημιουργόςBekiaris-Liberis Nikolaosen
ΔημιουργόςΜπεκιαρης-Λυμπερης Νικολαοςel
ΕκδότηςOxford University Pressen
ΠεριγραφήFunded 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
ΠερίληψηThis 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
ΤύποςPeer-Reviewed Journal Publicationen
ΤύποςΔημοσίευση σε Περιοδικό με Κριτέςel
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Ημερομηνία2025-09-30-
Ημερομηνία Δημοσίευσης2025-
Θεματική ΚατηγορίαEvent-triggered in-domain controlen
Θεματική ΚατηγορίαARZ traffic modelen
Θεματική ΚατηγορίαFirst-order hyperbolic PDEen
Θεματική ΚατηγορίαSmallgain approachen
Βιβλιογραφική ΑναφοράX. 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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