Modeling of network level system-optimal real-time dynamic traffic routing problem using nonlinear feedback control theoretic approach

Pushkin Kachroo, Kaan Özbay

Research output: Contribution to journalArticle

Abstract

A new method for performing network-wide real-time Dynamic Traffic Assignment/Dynamic Traffic Routing (DTA/DTR) using feedback control approach is presented. This method employs the design methodology for nonlinear H feedback control systems, which is robust to certain class of uncertainties in the traffic system. The proposed real-time routing approach aims at achieving system optimum defined as the determination of the time-dependent flows that minimizes the total travel time on the network over a finite period of time. The modeling paradigm of nonlinear H approach is an exact match with the requirements of a network-wide DTA/DTR problem applicable to advanced traffic management/information systems, mainly because it is computationally very efficient. The numerical evaluation of the designed feedback controller requires very simple algebraic operations that can be easily done in real-time. Moreover, the feedback control theory provides an efficient way of incorporating the information on the current network conditions obtained from traffic sensors into the control decisions made in order to drive the network conditions to the desired criteria, such as system optimality. The theory developed for network-wide problems is applied to a sample network to illustrate the application of the modeling framework presented in the rest of the article. Simulation based evaluation results of the traffic control law derived using the proposed network-wide H approach are also presented.

Original languageEnglish (US)
Pages (from-to)159-171
Number of pages13
JournalJournal of Intelligent Transportation Systems: Technology, Planning, and Operations
Volume10
Issue number4
DOIs
StatePublished - Dec 1 2006

Keywords

  • Control
  • Feedback
  • On-line
  • Real-time
  • Traffic

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Information Systems
  • Automotive Engineering
  • Aerospace Engineering
  • Computer Science Applications
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Modeling of network level system-optimal real-time dynamic traffic routing problem using nonlinear <sub>∞</sub> feedback control theoretic approach'. Together they form a unique fingerprint.

  • Cite this