01551730

Component

Traffic flow control has motivated many researchers since early decades of the 19th century. Recently, the concept of 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. In this paper, the case of decoupled perimeter control inputs, i.e. both controllers are independent and do not affect each other, is considered. For the decoupled control, the explicit formulations of the optimal feedback control policies and proofs of optimality are provided for three criteria: maximum throughput, minimum total delay, and minimum integrated errors from accumulation reference. The proofs are based on the modified Krotov-Bellman sufficient conditions of optimality, where the upper and lower bounds of state variables are calculated.

This paper was sponsored by TRB committee AHB45 Traffic Flow Theory and Characteristics.

01550057

15-0916

English

17p

2015

Transportation Research Board 94th Annual Meeting

Digital/other

Figures; References

Feedback control; Highway traffic control; Macroscopic traffic flow; Urban areas

Decoupling; Perimeters

Highways; Operations and Traffic Management; I73: Traffic Control

Transportation Research Board Annual Meeting 2015 Paper #15-0916

TRIS, TRB, ATRI

Dec 30 2014 12:23PM