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PDE-based feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehicles

Bekiaris-Liberis Nikolaos, Delis Anargyros

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Extent8 pagesen
TitlePDE-based feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehiclesen
CreatorBekiaris-Liberis Nikolaosen
CreatorΜπεκιαρης-Λυμπερης Νικολαοςel
CreatorDelis Anargyrosen
CreatorΔελης Αναργυροςel
PublisherInstitute of Electrical and Electronics Engineersen
DescriptionNikolaos 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.en
Content SummaryWe 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.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Date of Item2020-03-03-
Date of Publication2020-
SubjectAdaptive Cruise Controlen
SubjectAw-Rascle-Zhang (ARZ) modelen
SubjectConnected and automated vehiclesen
SubjectHyperbolic systemsen
SubjectPartial differential equation (PDE) controlen
SubjectTraffic flow controlen
Bibliographic CitationN. Bekiaris-Liberis and A. Delis, "PDE-based feedback control of freeway traffic flow via time-gap manipulation of ACC-equipped vehicles," IEEE Trans. Control Syst. Technol., pp. 1-9, in press, 2020. doi: 10.1109/TCST.2020.2974148en

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