Topology-based control design for congested areas in urban networks
Abstract
This paper addresses the problem of a boundary control design for traffic evolving in a large-scale urban network. The traffic state is described on a macroscopic scale and corresponds to the vehicle density, whose dynamics are governed by a two-dimensional conservation law. We aim at designing a boundary control law such that the throughput of vehicles in a congested area is maximized. Thereby, the only knowledge we use is the network's topology, capacities of its roads and speed limits. In order to achieve this goal, we treat a 2D equation as a set of 1D equations by introducing curvilinear coordinates satisfying special properties. The theoretical results are verified on a numerical example, where an initially fully congested area is driven to the state with maximum possible througput.
Keywords
Cite
@article{arxiv.2103.08998,
title = {Topology-based control design for congested areas in urban networks},
author = {Liudmila Tumash and Carlos Canudas-de-Wit and Maria Laura Delle Monache},
journal= {arXiv preprint arXiv:2103.08998},
year = {2021}
}