Boundary Control for Multi-Directional Traffic on Urban Networks
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.
Domains
Analysis of PDEs [math.AP]
Origin : Files produced by the author(s)