Traffic Regulation Via Controlled Speed Limit

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 L 2 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.
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Submitted on : Monday, August 28, 2017 - 2:12:42 PM
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  • HAL Id : hal-01577927, version 1
  • ARXIV : 1603.04785

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Maria Laura Delle Monache, Benedetto Piccoli, Francesco Rossi. Traffic Regulation Via Controlled Speed Limit. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2017, 55 (5), pp.2936-2958. ⟨https://doi.org/10.1137/16M1066038⟩. ⟨hal-01577927⟩

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