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Title:

Stability of Traffic Control in Two-Region Urban Cities

Accession Number:

01367721

Record Type:

Component

Abstract:

In this paper, stability analysis of traffic control for two-region urban cities is treated. Two Macroscopic Fundamental Diagrams (MFDs) system for two regions is defined. Under the assumption of triangle MFDs, and two traffic demands: exogenous and endogenous demands, the two-region MFDs system is modeled as a piecewise second-order system. Necessary and sufficient conditions are derived for stable equilibrium accumulations in the undersaturated regimes for both MFDs. Moreover, the traffic perimeter control problem for the two-region MFDs system is formulated. Phase portraits and stability analysis are conducted, and new algorithm is proposed to derive the boundaries of the stable and unstable regions. Based on these regions, a state-feedback control strategy is derived. Few numerical examples are presented.

Supplemental Notes:

This paper was sponsored by TRB committee AHB45-1 Traffic Flow Theory and Characteristics Special Paper Review

Monograph Accession #:

01362476

Report/Paper Numbers:

12-0849

Language:

English

Corporate Authors:

Transportation Research Board

500 Fifth Street, NW
Washington, DC 20001 United States

Authors:

Haddad, Jack
Geroliminis, Nikolas

Pagination:

22p

Publication Date:

2012

Conference:

Transportation Research Board 91st Annual Meeting

Location: Washington DC, United States
Date: 2012-1-22 to 2012-1-26
Sponsors: Transportation Research Board

Media Type:

Digital/other

Features:

Figures; References

Uncontrolled Terms:

Subject Areas:

Data and Information Technology; Highways; Operations and Traffic Management; I71: Traffic Theory; I73: Traffic Control

Source Data:

Transportation Research Board Annual Meeting 2012 Paper #12-0849

Files:

TRIS, TRB

Created Date:

Feb 8 2012 4:58PM