Stability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehiclesStability analysis of nonlinear inviscid traffic flow models of bidirectional cruise controlled vehicles
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2022-12-302022enThe research leading to these results has received funding from the European Research Council under the European Union’s Horizon 2020 Research and Innovation programme/ ERC Grant Agreement n. [833915], project TrafficFluid.The 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.http://creativecommons.org/licenses/by-nc-nd/4.0/1042-10472022 American Control Conference Proc. of the 2022 American Control ConferenceKarafyllis_et_al_2022 American Control Conference_2022_manucript.pdfChania [Greece]Library of TUC2022-12-21application/pdf319.9 kBfree
Karafyllis Iason
Καραφυλλης Ιασων
Theodosis Dionysios
Θεοδοσης-Παλημερης Διονυσιος
Papageorgiou Markos
Παπαγεωργιου Μαρκος
Institute of Electrical and Electronics Engineers
Nonlinear inviscid traffic flow models
Stability analysis