Event-triggered PDE-based control of freeway traffic flow with connected/automated vehiclesEvent-triggered PDE-based control of freeway traffic flow with connected/automated vehicles Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2025-09-302025enThis 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.Funded 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.http://creativecommons.org/licenses/by-nc-nd/4.0/IMA Journal of Mathematical Control and Information421-34Wang_et_al_IMA J. Math. Control Inf._2025_preprint.pdfChania [Greece]Library of TUC2025-09-29application/pdf678.3 kB10.1093/imamci/dnaf027free Wang, Xinyong Tang, Ying Espitia, Nicolas Bekiaris-Liberis Nikolaos Μπεκιαρης-Λυμπερης Νικολαος Oxford University Press Event-triggered in-domain control ARZ traffic model First-order hyperbolic PDE Smallgain approach