System dynamics and feedback control problem formulations for real time dynamic traffic routing

Authors:
P. Kachroo;K. Özbay;S. Kang;J. A. Burns
Affiliations:
Bradley Department of Electrical Engineering Virginia Polytechnic Institute and State University Blacksburg, VA 24061-0536, U.S.A.;Department of Civil & Environmental Engineering Rutgers, State University of New Jersey Piscataway, NJ 08855-0909, U.S.A.;Department of Mathematics, Chosun University Kwangju 501-759, Korea;Department of Mathematics and Interdisciplinary Center for Applied Mathematics Virginia Polytechnic Institute and State University Blacksburg, VA 24061-0536, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1998

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Abstract

This paper formulates the Dynamic Traffic Routing (DTR) problem as a real-time feedback control problem. Three different forms of the formulation are presented: 1.(1) distributed parameter system form derived from the conservation law; 2.(2) space discretized continuous lumped parameter form; 3.(3) space and time discretized lumped parameter form. These formulations can be considered as the starting points for development of feedback control laws for the different control problems stated in this paper. This paper presents the feedback control problems, and does not discuss in detail the methodology of solution techniques which could be used to solve these problems. However, for the sake of completeness a brief treatment of the three forms are included in this paper to show possible ways to design the controllers.