Traffic regulation via controlled speed limit
Optimization and Control
2016-03-16 v1
Abstract
We study an optimal control problem for traffic regulation via variable speed limit. The traffic flow dynamics is described with the Lighthill-Whitham-Richards (LWR) model with Newell-Daganzo flux function. We aim at minimizing the quadratic error to a desired outflow, given an inflow on a single road. We first provide existence of a minimizer and compute analytically the cost functional variations due to needle-like variation in the control policy. Then, we compare three strategies: instantaneous policy; random exploration of control space; steepest descent using numerical expression of gradient. We show that the gradient technique is able to achieve a cost within 10% of random exploration minimum with better computational performances.
Keywords
Cite
@article{arxiv.1603.04785,
title = {Traffic regulation via controlled speed limit},
author = {Maria Laura Delle Monache and Benedetto Piccoli and Francesco Rossi},
journal= {arXiv preprint arXiv:1603.04785},
year = {2016}
}