Modeling and problem formulation

Pushkin Kachroo, Kaan M.A. Özbay

Research output: Chapter in Book/Report/Conference proceedingChapter


This chapter provides the system dynamics model for control design in continuous and discrete time and space variables for traffic flow and also develops the basic framework for the control design. The problem is formulated as a feedback control design for the traffic as a distributed parameter system, i.e., in terms of Partial Differential Equations (PDE). DTR formulation for two alternate routes and then generalized for n routes is developed. Space discretization of the model results in Ordinary Differential Equation (ODE) representation, and its further time discretization produces difference equations. System dynamic equations for sample problems are developed, and a simple control law is also shown with computer simulation results.

Original languageEnglish (US)
Title of host publicationAdvances in Industrial Control
PublisherSpringer International Publishing
Number of pages24
StatePublished - Jan 1 2018

Publication series

NameAdvances in Industrial Control
ISSN (Print)1430-9491
ISSN (Electronic)2193-1577


ASJC Scopus subject areas

  • Control and Systems Engineering
  • Automotive Engineering
  • Aerospace Engineering
  • Industrial and Manufacturing Engineering

Cite this

Kachroo, P., & Özbay, K. M. A. (2018). Modeling and problem formulation. In Advances in Industrial Control (9783319692296 ed., pp. 89-112). (Advances in Industrial Control; No. 9783319692296). Springer International Publishing.