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Conference Papers Year : 2021

Boundary Control for Multi-Directional Traffic on Urban Networks

Liudmila Tumash


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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Dates and versions

hal-03182546 , version 1 (26-03-2021)
hal-03182546 , version 2 (24-10-2021)



Liudmila Tumash, Carlos Canudas de Wit, Maria Laura Delle Monache. Boundary Control for Multi-Directional Traffic on Urban Networks. CDC 2021 - 60th IEEE Conference on Decision and Control, Dec 2021, Austin, United States. ⟨10.1109/CDC45484.2021.9683167⟩. ⟨hal-03182546v2⟩
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