Coupled map car-following model and its delayed-feedback control

Keiji Konishi, Hideki Kokame, Kentaro Hirata

Research output: Contribution to journalArticle

133 Citations (Scopus)

Abstract

This paper proposes a coupled map car-following traffic model, which describes a dynamical behavior of a group of road vehicles running in a single lane without overtaking. This model consists of a lead vehicle and following vehicles, which have a piecewise linear optimal velocity function. When the lead-vehicle speed is varied, we can observe a traffic jam in the group of the vehicles. We derive a condition under which the traffic jam never occurs in our model. Furthermore, in order to suppress the traffic jam, for each vehicle we use a dynamic version of decentralized delayed-feedback control proposed in [Konishi, Hirai, and Kokame, Phys. Rev. E 58, 3055 (1998)], and provide a systematic procedure for designing the controller.

Original languageEnglish
Pages (from-to)4000-4007
Number of pages8
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume60
Issue number4 A
Publication statusPublished - Oct 1999
Externally publishedYes

Fingerprint

Car-following Model
Delayed Feedback Control
Traffic Jam
Coupled Maps
feedback control
vehicles
traffic
Traffic Model
Dynamical Behavior
Piecewise Linear
Decentralized
Controller
roads
Model
controllers

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Coupled map car-following model and its delayed-feedback control. / Konishi, Keiji; Kokame, Hideki; Hirata, Kentaro.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 60, No. 4 A, 10.1999, p. 4000-4007.

Research output: Contribution to journalArticle

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