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Communication Dans Un Congrès Année : 2020

Topology-based control design for congested areas in urban networks

Liudmila Tumash

Résumé

This paper addresses the problem of a boundary control design for traffic evolving in a large 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 a state with maximum possible throughput.
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Dates et versions

hal-02860455 , version 1 (08-06-2020)
hal-02860455 , version 2 (02-09-2020)

Identifiants

Citer

Liudmila Tumash, Carlos Canudas de Wit, Maria Laura Delle Monache. Topology-based control design for congested areas in urban networks. ITSC 2020 - 23rd IEEE International Conference on Intelligent Transportation Systems, Sep 2020, Rhodos (Virtual), Greece. pp.1-6, ⟨10.1109/ITSC45102.2020.9294280⟩. ⟨hal-02860455v2⟩
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