Perimeter Flow Control for Bi-modal Urban Road Networks

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.

• Supplemental Notes:
  • This paper was sponsored by TRB committee AHB45-1 Traffic Flow Theory and Characteristics Special Paper Review.
• Corporate Authors:

  Transportation Research Board

  500 Fifth Street, NW
  Washington, DC  United States  20001
• Authors:
  • Ampountolas, Konstantinos
  • Zheng, Nan
  • Geroliminis, Nikolas
• Conference:
  • Transportation Research Board 93rd Annual Meeting
  • Location: Washington DC
  • Date: 2014-1-12 to 2014-1-16
• Date: 2014

Language

• English

Media Info

• Media Type: Digital/other
• Features: Figures; References;
• Pagination: 17p
• Monograph Title: TRB 93rd Annual Meeting Compendium of Papers

Subject/Index Terms

• TRT Terms: Dynamic traffic assignment; Highway traffic control systems; Macroscopic traffic flow; Methodology; Vehicle mix
• Uncontrolled Terms: Fundamental diagram; Road networks
• Geographic Terms: San Francisco (California)
• Subject Areas: Data and Information Technology; Highways; Operations and Traffic Management; I71: Traffic Theory;

Filing Info

• Accession Number: 01517520
• Record Type: Publication
• Report/Paper Numbers: 14-2846
• Files: TRIS, TRB, ATRI
• Created Date: Mar 10 2014 9:23AM