IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0178625.html
   My bibliography  Save this article

Robust shrinking ellipsoid model predictive control for linear parameter varying system

Author

Listed:
  • Zhang Longge
  • Yan Yan

Abstract

In this paper, a new off-line model predictive control strategy is presented for a kind of linear parameter varying system with polytopic uncertainty. A nest of shrinking ellipsoids is constructed by solving linear matrix inequality. By splitting the objective function into two parts, the proposed strategy moves most computations off-line. The on-line computation is only calculating the current control to assure the system shrinking into the smaller ellipsoid. With the proposed formulation, the stability of the closed system is proved, followed with two numerical examples to demonstrate the proposed method’s effectiveness in the end.

Suggested Citation

  • Zhang Longge & Yan Yan, 2017. "Robust shrinking ellipsoid model predictive control for linear parameter varying system," PLOS ONE, Public Library of Science, vol. 12(6), pages 1-13, June.
    • Handle: RePEc:plo:pone00:0178625
    DOI: 10.1371/journal.pone.0178625
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0178625
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0178625&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0178625?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
    ---><---

    Citations

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


    Cited by:

    1. Daniel Rodriguez-Guevara & Antonio Favela-Contreras & Francisco Beltran-Carbajal & David Sotelo & Carlos Sotelo, 2021. "Active Suspension Control Using an MPC-LQR-LPV Controller with Attraction Sets and Quadratic Stability Conditions," Mathematics, MDPI, vol. 9(20), pages 1-17, October.
    2. Yan Yan & Longge Zhang, 2021. "Robust Model Predictive Control with Almost Zero Online Computation," Mathematics, MDPI, vol. 9(3), pages 1-10, January.

    More about this item

    Statistics

    Access and download statistics

    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:plo:pone00:0178625. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.