Dynamic routing problem in distributed parameter setting

Pushkin Kachroo, Kaan M.A. Özbay

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The aim of this chapter is to design control law for the DTR (Dynamic Traffic Routing) problem modeled in the distributed parameter setting. For the control design, the chapter uses the sliding mode control technique for regulating the error. Sliding mode control provides a robust method against bounded uncertainties. The price to pay for that robustness is chattering. The chapter shows methods to deal with chattering reduction in the control implementation. Control design and its software simulation using sliding mode control are presented in this chapter. The chapter also provides a simple study of discretization errors that are obtained in the numerical approximation of the distributed model for software simulation. The chapter shows the development of a simple software simulation code and its simulation to study this problem.

Original languageEnglish (US)
Title of host publicationAdvances in Industrial Control
PublisherSpringer International Publishing
Pages115-154
Number of pages40
Edition9783319692296
DOIs
StatePublished - 2018

Publication series

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

ASJC Scopus subject areas

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

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  • Cite this

    Kachroo, P., & Özbay, K. M. A. (2018). Dynamic routing problem in distributed parameter setting. In Advances in Industrial Control (9783319692296 ed., pp. 115-154). (Advances in Industrial Control; No. 9783319692296). Springer International Publishing. https://doi.org/10.1007/978-3-319-69231-9_5