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Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/691B2089-57FB-4899-8112-9D4BC92C0F29 | ||
| Year | 2025 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
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| Bibliographic Citation | X. 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. https://doi.org/10.1093/imamci/dnaf027 | ||
| Appears in Collections |
This 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-gapsettings 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 respectto 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.
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