Year: 2019
Type: article
Abstract: We develop a hierarchical description of traffic flow control by means of driver-assist vehicles aimed at the mitigation of speed-dependent road risk factors. Microscopic feedback control strategies are designed at the level of vehicle-to-vehicle interactions and then upscaled to the global flow via a kinetic approach based on a Boltzmann-type equation. Then first and second order hydrodynamic traffic models, which naturally embed the microscopic control strategies, are consistently derived from the kinetic-controlled framework via suitable closure methods. Several numerical examples illustrate the effectiveness of such a hierarchical approach at the various scales.
DOI: 10.1137/18m1203766
Authors: Andrea Tosin, Mattia Zanella
Institution: Politecnico di Torino
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funders: Compagnia di San Paolo, Istituto Nazionale di Alta Matematica "Francesco Severi", Politecnico di Torino, Dipartimenti di Eccellenza, Ministero dell’Istruzione, dell’Università e della Ricerca, Gruppo Nazionale per il Calcolo Scientifico, Gruppo Nazionale per la Fisica Matematica, Division of Mathematical Sciences
OpenAlex ID: W2887458057
