Title

System Dynamics and Feedback Control Problem Formulations for Real Time Dynamic Traffic Routing

Document Type

Article

Publication Date

5-1998

Publication Title

Mathematical and Computer Modelling

Volume

27

Issue

9-11

First page number:

27

Last page number:

49

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.

Keywords

Discretization method; Distributed parameter system; Distributed system; Dynamical system; Feedback control systems; Feedback system; Real-time control; Real time system; Traffic engineering; Traffic flow; Traffic management

Disciplines

Applied Mathematics | Civil Engineering | Controls and Control Theory | Systems and Communications | Urban Studies and Planning

Language

English

Permissions

Use Find in Your Library, contact the author, or use interlibrary loan to garner a copy of the article. Publisher copyright policy allows author to archive post-print (author’s final manuscript). When post-print is available or publisher policy changes, the article will be deposited

Identifier

DOI: http://dx.doi.org/10.1016/S0895-7177(98)00050-8

Publisher Citation

P. Kachroo, K. Özbay, S. Kang, J.A. Burns System dynamics and feedback control problem formulations for real time dynamic traffic routing Mathematical and Computer Modelling, Volume 27, Issues 9–11, May–June 1998, Pages 27–49 http://dx.doi.org/10.1016/S0895-7177(98)00050-8

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