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Stability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehicles

Karafyllis Iason, Theodosis Dionysios, Papageorgiou Markos

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URIhttp://purl.tuc.gr/dl/dias/E0602DED-C49E-4092-BCC7-C8C73694B123-
Αναγνωριστικόhttps://doi.org/10.23919/ACC53348.2022.9867663-
Αναγνωριστικόhttps://ieeexplore.ieee.org/document/9867663-
Γλώσσαen-
Μέγεθος6 pagesen
ΤίτλοςStability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehiclesen
ΔημιουργόςKarafyllis Iasonen
ΔημιουργόςΚαραφυλλης Ιασωνel
ΔημιουργόςTheodosis Dionysiosen
ΔημιουργόςΘεοδοσης-Παλημερης Διονυσιοςel
ΔημιουργόςPapageorgiou Markosen
ΔημιουργόςΠαπαγεωργιου Μαρκοςel
ΕκδότηςInstitute of Electrical and Electronics Engineersen
ΠερίληψηThe paper introduces a new bidirectional microscopic inviscid Adaptive Cruise Control (ACC) model that uses only spacing information from the preceding and following vehicles in order to select the proper control action to avoid collisions and maintain a desired speed. Class KL estimates that guarantee uniform convergence of the ACC model to the set of equilibria are provided. Moreover, the corresponding macroscopic model is derived, consisting of a conservation equation and a momentum equation that contains a nonlinear relaxation term. It is shown that, if the density is sufficiently small, then the macroscopic model has a solution that approaches exponentially the equilibrium speed (in the sup norm) while the density converges exponentially to a traveling wave.en
ΤύποςΠλήρης Δημοσίευση σε Συνέδριοel
ΤύποςConference Full Paperen
Άδεια Χρήσηςhttp://creativecommons.org/licenses/by-nc-nd/4.0/en
Ημερομηνία2022-12-30-
Ημερομηνία Δημοσίευσης2022-
Θεματική ΚατηγορίαNonlinear inviscid traffic flow modelsen
Θεματική ΚατηγορίαStability analysisen
Βιβλιογραφική ΑναφοράI. Karafyllis, D. Theodosis and M. Papageorgiou, "Stability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehicles," in 2022 American Control Conference (ACC), 2022, pp. 1042-1047, doi: 10.23919/ACC53348.2022.9867663.en

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