Perimeter Flow Control for Bi-modal Urban Road Networks

Ampountolas, K. , Zheng, N. and Geroliminis, N. (2014) Perimeter Flow Control for Bi-modal Urban Road Networks. In: 93rd Annual Meeting of the Transportation Research Board, Washington, DC, 12-16 Jan 2014, (Submitted)

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Abstract

This paper presents a three-dimensional Macroscopic Fundamental Diagram (3D-MFD) for mixed bi-modal urban traffic that is proposed by the authors in a previous work. The 3D-MFD relates the accumulation of cars and buses and the outflow (or circulating flow) in a bi-modal traffic network. The composition of traffic in the network as a parameter that affects the shape of the 3D-MFD is introduced. Then, two different functions (quadratic and exponential) are proposed to capture the shape of the 3D-MFD and derive analytical formulas for the critical accumulation that is dependent upon the composition of traffic in the network. A Linear Parameter Varying (LPV) model with uncertain parameter the composition of traffic in the network, which is based on the 3D-MFD, is employed to describe the aggregated bi-modal traffic dynamics. The LPV model aims at designing a proportional perimeter flow controller which guarantees robust regulation and stability, given that vehicle composition is a slow time-varying parameter. The control gain of the proposed regulator is calculated off-line using convex optimization and Semi-definite Programming (SDP). In order to evaluate the proposed scheme, a preliminary simulation-based comparison of the robust perimeter flow controller with a pre-timed control plan for an area of Downtown San Francisco, is carried out.

Item Type:Conference Proceedings
Additional Information:Paper # 14-2846
Keywords:Dynamic traffic assignment, highway traffic control systems, macroscopic traffic flow, methodology, vehicle mix, fundamental diagram
Status:Submitted
Refereed:Yes
Glasgow Author(s) Enlighten ID:Ampountolas, Dr Konstantinos
Authors: Ampountolas, K., Zheng, N., and Geroliminis, N.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
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