IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i13p2003-d1424537.html
   My bibliography  Save this article

Robust Constrained Cooperative Control for Multiple Trains

Author

Listed:
  • Qijie Hu

    (School of Automation, Central South University, Changsha 410081, China)

  • Xinyu Fan

    (School of Automation, Central South University, Changsha 410081, China)

  • Yue Wei

    (Guangdong Laboratory of Artificial Intelligence and Digital Economy (Shenzhen), Shenzhen 518000, China)

Abstract

This paper investigates robust constrained cooperative control for multiple trains, taking into account disturbances, velocity and control input constraints, and nonlinear operation resistances. A robust constrained cooperative control algorithm is employed, utilizing position information from neighboring trains to ensure each train operates within the desired formation. The effects of external disturbances are examined through multiple transformations and the convexity of stochastic matrices, resulting in an error bound for the final relative positions. This error boundary is correlated with the parameters of the system matrix, initial state conditions, and disturbance amplitudes. The theoretical findings are substantiated with a numerical example.

Suggested Citation

  • Qijie Hu & Xinyu Fan & Yue Wei, 2024. "Robust Constrained Cooperative Control for Multiple Trains," Mathematics, MDPI, vol. 12(13), pages 1-11, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:13:p:2003-:d:1424537
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/13/2003/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/13/2003/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:12:y:2024:i:13:p:2003-:d:1424537. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.