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Boundary Control for Multi-Directional Traffic on Urban Networks

Liudmila Tumash 1 Carlos Canudas de Wit 1 Maria Laura Delle Monache 1
1 DANCE - Dynamics and Control of Networks
Inria Grenoble - Rhône-Alpes, GIPSA-PAD - GIPSA Pôle Automatique et Diagnostic
Abstract : This paper is devoted to the boundary control design for traffic evolving on large-scale urban networks. The state corresponds to the vehicle density that evolves on a continuum two-dimensional plane. This plane represents an urban network, whose parameters are interpolated as a function of distance to the physical roads. The dynamics of the vehicle density are governed by a newly developed multi-direction traffic flow model called the NSWE-model that encompasses a system of four coupled partial differential equations (PDEs). Each of these PDEs describes the density evolution in one of the four cardinal directions: North, South, West and East. For this model we design a control applied at the network's upstream boundary to drive a multi-directional congested traffic state to a desired equilibrium state. We analyse the class of desired states the system can be driven to. Finally, the result is validated numerically using the real network of Grenoble downtown.
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Preprints, Working Papers, ...
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Contributor : Liudmila Tumash Connect in order to contact the contributor
Submitted on : Sunday, October 24, 2021 - 7:09:13 PM
Last modification on : Tuesday, October 26, 2021 - 4:00:35 AM


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  • HAL Id : hal-03182546, version 2



Liudmila Tumash, Carlos Canudas de Wit, Maria Laura Delle Monache. Boundary Control for Multi-Directional Traffic on Urban Networks. 2021. ⟨hal-03182546v2⟩



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