PDE-based feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehiclesPDE-based feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehicles Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2020-03-032020enWe develop a control design for stabilization of traffic flow in congested regime, based on an Aw-Rascle-Zhang-type (ARZ-type) Partial Differential Equation (PDE) model, for traffic consisting of both ACC-equipped (Adaptive Cruise Control-equipped) and manual vehicles. The control input is the value of the time-gap setting of ACC-equipped and connected vehicles, which gives rise to a problem of control of a 2 x 2 nonlinear system of first-order hyperbolic PDEs with in-domain actuation. The feedback law is designed in order to stabilize the linearized system, around a uniform, congested equilibrium profile. Stability of the closed-loop system under the developed control law is shown constructing a Lyapunov functional. Convective stability is also proved adopting an input-output approach. The performance improvement of the closed-loop system under the proposed strategy is illustrated in simulation, also employing three different metrics, which quantify the performance in terms of fuel consumption, total travel time, and comfort.Nikolaos Bekiaris-Liberis was supported by the funding from the European Commission's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 747898, project PADECOT.http://creativecommons.org/licenses/by/4.0/IEEE Transactions on Control Systems TechnologyBekiaris-Liberis_et_al_IEEE Trans. Control Syst. Technol._2020.pdfChania [Greece]Library of TUC2020-03-03application/pdf1.1 MBhttps://ieeexplore.ieee.org/document/901818810.1109/TCST.2020.2974148embargo Bekiaris-Liberis Nikolaos Μπεκιαρης-Λυμπερης Νικολαος Delis Anargyros Δελης Αναργυρος Institute of Electrical and Electronics Engineers ACC Adaptive Cruise Control Aw-Rascle-Zhang (ARZ) model Connected and automated vehicles Hyperbolic systems Partial differential equation (PDE) control Traffic flow control