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Modeling and Problem Formulation

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Feedback Control Theory for Dynamic Traffic Assignment

Part of the book series: Advances in Industrial Control ((AIC))

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Abstract

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.

The material in this chapter is mostly directly adapted from the paper by Pushkin Kachroo, Kaan Özbay, Sungkwon Kang, and John A. Burns, “System Dynamics and Feedback Control Problem Formulations for Real Time Dynamic Traffic Routing,” Mathl. Comput. Modelling Vol. 27, No. 9–11, pp. 27–49, DOI: https://doi.org/10.1016/S0895-7177(98)00050-8, © 1998, with permission from Elsevier.

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Author information

Authors and Affiliations

  1. Department of Electrical and Computer Engineering, University of Nevada, Las Vegas, NV, USA

    Pushkin Kachroo

  2. Department of Civil and Urban Engineering, New York University, Brooklyn, NY, USA

    Kaan M. A. Özbay

Authors
  1. Pushkin Kachroo
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  2. Kaan M. A. Özbay
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Correspondence to Pushkin Kachroo .

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Kachroo, P., Özbay, K.M.A. (2018). Modeling and Problem Formulation. In: Feedback Control Theory for Dynamic Traffic Assignment. Advances in Industrial Control. Springer, Cham. https://doi.org/10.1007/978-3-319-69231-9_4

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  • DOI: https://doi.org/10.1007/978-3-319-69231-9_4

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-69229-6

  • Online ISBN: 978-3-319-69231-9

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