IDEAS home Printed from https://ideas.repec.org/a/taf/tsysxx/v54y2023i1p180-188.html
   My bibliography  Save this article

Iterative learning control for time-delay nonlinear hyperbolic distributed parameter systems

Author

Listed:
  • Meryem Hamidaoui
  • Cheng Shao
  • Samia Haouassi

Abstract

In this paper, we study the application of iterative learning control to a class of nonlinear varying time-delay equations. The handled procedure is the distributed parameter system, hyperbolic type. The selected plan is based on PD-type iterative learning control with initial state learning. Initially, we present the equation and the control law utilised. Subsequently, we presented some dilemmas. Then, sufficient conditions for monotone convergence of the error under the proper assumption are found. Also, a detailed convergence analysis is given based on the once-offered lemmas and Gronwall inequality. Finally, we show the usefulness of the method utilising a numerical model.AbbreviationsDPS: distributed parameter system; ILC: iterative learning control; PDE:partial differential equation; DPS: partial difference system; PD: proportional derivative

Suggested Citation

  • Meryem Hamidaoui & Cheng Shao & Samia Haouassi, 2023. "Iterative learning control for time-delay nonlinear hyperbolic distributed parameter systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 54(1), pages 180-188, January.
    • Handle: RePEc:taf:tsysxx:v:54:y:2023:i:1:p:180-188
    DOI: 10.1080/00207721.2022.2111237
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/00207721.2022.2111237
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/00207721.2022.2111237?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.

    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:taf:tsysxx:v:54:y:2023:i:1:p:180-188. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/TSYS20 .

    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.