IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/384921.html
   My bibliography  Save this article

Fractional-Order Fast Terminal Sliding Mode Control for a Class of Dynamical Systems

Author

Listed:
  • Guoliang Zhao

Abstract

This paper introduces a novel fractional fast terminal sliding mode control strategy for a class of dynamical systems with uncertainty. In this strategy, a fractional-order sliding surface is proposed, the corresponding control law is derived based on Lyapunov stability theory to guarantee the sliding condition, and the finite time stability of the closeloop system is also ensured. Further, to achieve the equivalence between convergence rate and singularity avoidance, a fractional-order nonsingular fast terminal sliding mode controller is studied and the stability is presented. Finally, numerical simulation results are presented to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Guoliang Zhao, 2013. "Fractional-Order Fast Terminal Sliding Mode Control for a Class of Dynamical Systems," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, December.
    • Handle: RePEc:hin:jnlmpe:384921
    DOI: 10.1155/2013/384921
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/384921.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/384921.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/384921?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. Tabatabaei-Nejhad, Seyede Zahra & Eghtesad, Mohammad & Farid, Mehrdad & Bazargan-Lari, Yousef, 2022. "Combination of fractional-order, adaptive second order and non-singular terminal sliding mode controls for dynamical systems with uncertainty and under-actuation property," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).

    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:hin:jnlmpe:384921. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.