Feedback control for dynamic traffic routing in lumped parameter setting

Pushkin Kachroo, Kaan Ozbay

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The aim of this chapter is to solve the point diversion problem between two nodes using feedback control where the dynamics of the system are written in the lumped parameter form, i.e., in terms of Ordinary Differential Equations (ODE). Chapter presents the system dynamics model for the routing problem as a space discretized version of the LWR traffic model. This model is also a direct consequence of the conservation law in the space discretized setting. The nonlinear control method of feedback linearization is presented and it is shown how that can be utilized to develop feedback traffic routing controllers. Two routes with one section each, followed by multiple sections, as well as multiple routes each with multiple sections are studied for the routing control design, and simulations are performed to show the results of the controller. Sliding mode control is used for the model with uncertainties.

Original languageEnglish (US)
Title of host publicationAdvances in Industrial Control
PublisherSpringer International Publishing
Pages199-228
Number of pages30
Edition9783319692296
DOIs
StatePublished - Jan 1 2018

Publication series

NameAdvances in Industrial Control
Number9783319692296
ISSN (Print)1430-9491
ISSN (Electronic)2193-1577

Fingerprint

Feedback control
Controllers
Feedback linearization
Sliding mode control
Ordinary differential equations
Dynamic models
Conservation
Feedback
Uncertainty

ASJC Scopus subject areas

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

Cite this

Kachroo, P., & Ozbay, K. (2018). Feedback control for dynamic traffic routing in lumped parameter setting. In Advances in Industrial Control (9783319692296 ed., pp. 199-228). (Advances in Industrial Control; No. 9783319692296). Springer International Publishing. https://doi.org/10.1007/978-3-319-69231-9_8

Feedback control for dynamic traffic routing in lumped parameter setting. / Kachroo, Pushkin; Ozbay, Kaan.

Advances in Industrial Control. 9783319692296. ed. Springer International Publishing, 2018. p. 199-228 (Advances in Industrial Control; No. 9783319692296).

Research output: Chapter in Book/Report/Conference proceedingChapter

Kachroo, P & Ozbay, K 2018, Feedback control for dynamic traffic routing in lumped parameter setting. in Advances in Industrial Control. 9783319692296 edn, Advances in Industrial Control, no. 9783319692296, Springer International Publishing, pp. 199-228. https://doi.org/10.1007/978-3-319-69231-9_8
Kachroo P, Ozbay K. Feedback control for dynamic traffic routing in lumped parameter setting. In Advances in Industrial Control. 9783319692296 ed. Springer International Publishing. 2018. p. 199-228. (Advances in Industrial Control; 9783319692296). https://doi.org/10.1007/978-3-319-69231-9_8
Kachroo, Pushkin ; Ozbay, Kaan. / Feedback control for dynamic traffic routing in lumped parameter setting. Advances in Industrial Control. 9783319692296. ed. Springer International Publishing, 2018. pp. 199-228 (Advances in Industrial Control; 9783319692296).
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