TY - JOUR
T1 - Robust perimeter control design for an urban region
AU - Haddad, Jack
AU - Shraiber, Arie
N1 - Funding Information: This research was financially supported by the Technion. The research leading to these results has received funding from the European Union’s – Seventh Framework Programme (FP7/2007–2013) under grant agreement 630690 – MC-SMART. The authors would like to thank Prof. Per-Olof Gutman from Technion for his suggestions and help with integrating the control constraint within the control loop. The authors would like to thank the anonymous reviewers for their valuable comments and suggestions to improve the quality of the paper.
PY - 2014/10
Y1 - 2014/10
N2 - Recent works have introduced perimeter feedback-control strategies for a homogenous urban region and multiple urban regions with the help of the Macroscopic Fundamental Diagram (MFD) representation, that relates average flow and density (or accumulation) across the network. The perimeter controller is located on the region border, and manipulates the transfer flows across the border, while aiming at regulating around (nearby) the critical densities or accumulations, whereby the system throughput is maximized. While the desired state in the one urban region system is known in advance (given the MFD shape), for the system with multiple urban regions the desired accumulation points are not well known. Moreover, in some traffic scenarios the controller cannot regulate around the critical accumulations for both systems, e.g. because of high demand. In this paper, a robust perimeter controller for an urban region is designed. The controller aims at satisfying the control specifications and having a good performance for the whole accumulation set, uncongested and congested accumulations, and not necessary for a value range nearby the critical accumulation set-point. Moreover, unlike previous works, the robust controller is also designed to handle uncertainty in the MFD and the control constraints within the design level in a systematic way, where the constraints are explicitly integrated utilizing the so-called describing function. Comparison results show that the performances of the robust controller are significantly better than a "standard" feedback controller, for different traffic scenarios.
AB - Recent works have introduced perimeter feedback-control strategies for a homogenous urban region and multiple urban regions with the help of the Macroscopic Fundamental Diagram (MFD) representation, that relates average flow and density (or accumulation) across the network. The perimeter controller is located on the region border, and manipulates the transfer flows across the border, while aiming at regulating around (nearby) the critical densities or accumulations, whereby the system throughput is maximized. While the desired state in the one urban region system is known in advance (given the MFD shape), for the system with multiple urban regions the desired accumulation points are not well known. Moreover, in some traffic scenarios the controller cannot regulate around the critical accumulations for both systems, e.g. because of high demand. In this paper, a robust perimeter controller for an urban region is designed. The controller aims at satisfying the control specifications and having a good performance for the whole accumulation set, uncongested and congested accumulations, and not necessary for a value range nearby the critical accumulation set-point. Moreover, unlike previous works, the robust controller is also designed to handle uncertainty in the MFD and the control constraints within the design level in a systematic way, where the constraints are explicitly integrated utilizing the so-called describing function. Comparison results show that the performances of the robust controller are significantly better than a "standard" feedback controller, for different traffic scenarios.
KW - Macroscopic fundamental diagram
KW - Perimeter control
KW - Robust control
UR - http://www.scopus.com/inward/record.url?scp=84905234645&partnerID=8YFLogxK
U2 - 10.1016/j.trb.2014.06.010
DO - 10.1016/j.trb.2014.06.010
M3 - مقالة
SN - 0191-2615
VL - 68
SP - 315
EP - 332
JO - Transportation Research Part B: Methodological
JF - Transportation Research Part B: Methodological
ER -