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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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Contributor : Francesco Rossi <>
Submitted on : Monday, August 28, 2017 - 2:12:42 PM
Last modification on : Wednesday, May 13, 2020 - 4:16:01 PM


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  • HAL Id : hal-01577927, version 1
  • ARXIV : 1603.04785


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. ⟨hal-01577927⟩



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