TY - GEN
T1 - Outflow tracking with variable speed limit
AU - Monache, Maria Laura Delle
AU - Piccoli, Benedetto
AU - Rossi, Francesco
N1 - Publisher Copyright:
© 2016 American Automatic Control Council (AACC).
PY - 2016/7/28
Y1 - 2016/7/28
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84992153844&partnerID=8YFLogxK
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U2 - 10.1109/ACC.2016.7525302
DO - 10.1109/ACC.2016.7525302
M3 - Conference contribution
AN - SCOPUS:84992153844
T3 - Proceedings of the American Control Conference
SP - 2560
EP - 2565
BT - 2016 American Control Conference, ACC 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 American Control Conference, ACC 2016
Y2 - 6 July 2016 through 8 July 2016
ER -