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

P. Kachroo, Kaan Ozbay, S. Kang, J. A. Burns

Research output: Contribution to journalArticle

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) distributed parameter system form derived from the conservation law; (2) space discretized continuous lumped parameter form; (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.

Original languageEnglish (US)
Pages (from-to)27-49
Number of pages23
JournalMathematical and Computer Modelling
Volume27
Issue number9-11
DOIs
StatePublished - May 1998

Fingerprint

Traffic Dynamics
Dynamic Control
System Dynamics
Feedback Control
Feedback control
Control Problem
Dynamical systems
Routing
Formulation
Real time control
Conservation
Distributed Parameter Systems
Routing Problem
Controllers
Conservation Laws
Completeness
Form
System dynamics
Problem formulation
Real-time

Keywords

  • Control
  • Dynamic Traffic Assignment
  • Feedback

ASJC Scopus subject areas

  • Information Systems and Management
  • Control and Systems Engineering
  • Applied Mathematics
  • Computational Mathematics
  • Modeling and Simulation

Cite this

System dynamics and feedback control problem formulations for real time dynamic traffic routing. / Kachroo, P.; Ozbay, Kaan; Kang, S.; Burns, J. A.

In: Mathematical and Computer Modelling, Vol. 27, No. 9-11, 05.1998, p. 27-49.

Research output: Contribution to journalArticle

Kachroo, P. ; Ozbay, Kaan ; Kang, S. ; Burns, J. A. / System dynamics and feedback control problem formulations for real time dynamic traffic routing. In: Mathematical and Computer Modelling. 1998 ; Vol. 27, No. 9-11. pp. 27-49.
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