IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v392y2013i17p3755-3764.html
   My bibliography  Save this article

Optimality and oscillations near the edge of stability in the dynamics of autonomous vehicle platoons

Author

Listed:
  • Davis, L.C.

Abstract

A model that includes the mechanical response of a vehicle to a demanded change in acceleration is analyzed to determine the string stability of a platoon of autonomous vehicles. The response is characterized by a first-order time constant τ and an explicit delay td. The minimum value of the acceleration feedback control gain is found from calculations of the velocity of vehicles following a lead vehicle that decelerates sharply from high speed to low speed. Larger values of ξ (in the stable range) give larger values of deceleration for vehicles in the platoon. Optimal operation is attained close to the minimum value of ξ for stability. Small oscillations are found after the main peak in deceleration for ξ in the stable region but near the transition to instability. A theory for predicting the frequency and amplitude of the oscillations is presented.

Suggested Citation

  • Davis, L.C., 2013. "Optimality and oscillations near the edge of stability in the dynamics of autonomous vehicle platoons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3755-3764.
    • Handle: RePEc:eee:phsmap:v:392:y:2013:i:17:p:3755-3764
    DOI: 10.1016/j.physa.2013.03.054
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113002872
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2013.03.054?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Quan Yu & Linlong Lei & Yuqi Bao & Li Wang, 2022. "Research on Safety and Traffic Efficiency of Mixed Traffic Flows in the Converging Section of a Super-Freeway Ramp," Sustainability, MDPI, vol. 14(20), pages 1-15, October.
    2. Davis, L.C., 2017. "Dynamic origin-to-destination routing of wirelessly connected, autonomous vehicles on a congested network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 478(C), pages 93-102.
    3. Davis, L.C., 2013. "The effects of mechanical response on the dynamics and string stability of a platoon of adaptive cruise control vehicles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3798-3805.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:392:y:2013:i:17:p:3755-3764. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.