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Topology-based control design for congested areas in urban networks

Liudmila Tumash 1 Carlos Canudas de Wit 1 Maria Laura Delle Monache 1
1 NECS-POST - Systèmes Commandés en Réseau
Inria Grenoble - Rhône-Alpes, GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
Abstract : 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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Submitted on : Wednesday, September 2, 2020 - 9:53:27 AM
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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. ⟨hal-02860455v2⟩

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