Outflow tracking with variable speed limit

Maria Laura Delle Monache, Benedetto Piccoli, Francesco Rossi

Research output: Chapter in Book/Report/Conference proceedingConference contribution


We formulate and study an optimal control problem for traffic regulation via variable speed limit on a single road. Using the well established Lighthill-Whitham-Richards model with Newell-Daganzo flux, we aim at minimizing the quadratic error to a desired outflow for an assigned inflow. We first provide existence results and compute analytically the cost functional variation. Then we formulate an instantaneous policy, depending only on the density at the exit point. Then we compare three strategies: The instantaneous policy; Random exploration of control space; Steepest decent using numerical expression of gradient. We show that the gradient technique is able to achieve a cost within 10% of random exploration minimum, while keeping the computational cost much lower. On the other side, the instantaneous policy is outperformed by the other two.

Original languageEnglish (US)
Title of host publication2016 American Control Conference, ACC 2016
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9781467386821
StatePublished - Jul 28 2016
Event2016 American Control Conference, ACC 2016 - Boston, United States
Duration: Jul 6 2016Jul 8 2016

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619


Other2016 American Control Conference, ACC 2016
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering


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