TY - GEN
T1 - Optimal feedback control for a perimeter traffic flow at an urban region
AU - Haddad, Jack
AU - Ioslovich, Ilya
PY - 2014
Y1 - 2014
N2 - Traffic flow control has motivated many researchers since early decades of the 19th century. Recently, the concept of a perimeter traffic control for an urban region has been strengthened by a series of works, which have shown that a perimeter controller, located at a region border, can manipulate the transfer flows across the border to maximize the total outflow of the region. The macroscopic fundamental diagram (MFD), that relates average flow with accumulation, is used to model the traffic flow dynamics in the region. Assuming that the control inputs of the cross-border flows are coupled, i.e. the border is always utilized over time for transferring flows by one of the two directions (from and towards the region), and that the urban region has two traffic flow demands generated inside the region with internal and external destinations, and a generated traffic flow outside the region with a destination to the region, the explicit formulation of the optimal feedback control policy and a proof of optimality are provided. The proof is based on the modified Krotov-Bellman sufficient conditions of optimality, where the upper and lower bounds of state variables are calculated.
AB - Traffic flow control has motivated many researchers since early decades of the 19th century. Recently, the concept of a perimeter traffic control for an urban region has been strengthened by a series of works, which have shown that a perimeter controller, located at a region border, can manipulate the transfer flows across the border to maximize the total outflow of the region. The macroscopic fundamental diagram (MFD), that relates average flow with accumulation, is used to model the traffic flow dynamics in the region. Assuming that the control inputs of the cross-border flows are coupled, i.e. the border is always utilized over time for transferring flows by one of the two directions (from and towards the region), and that the urban region has two traffic flow demands generated inside the region with internal and external destinations, and a generated traffic flow outside the region with a destination to the region, the explicit formulation of the optimal feedback control policy and a proof of optimality are provided. The proof is based on the modified Krotov-Bellman sufficient conditions of optimality, where the upper and lower bounds of state variables are calculated.
KW - Macroscopic fundamental diagram
KW - Optimal control
KW - Perimeter traffic control
UR - https://www.scopus.com/pages/publications/84910066388
M3 - منشور من مؤتمر
T3 - ICINCO 2014 - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics
SP - 14
EP - 20
BT - ICINCO 2014 - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics
A2 - Sasiadek, Jurek
A2 - Filipe, Joaquim
A2 - Gusikhin, Oleg
A2 - Madani, Kurosh
T2 - 11th International Conference on Informatics in Control, Automation and Robotics, ICINCO 2014
Y2 - 1 September 2014 through 3 September 2014
ER -