IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/6677704.html
   My bibliography  Save this article

Fuzzy Adaptive Control for Fractional Nonlinear Systems with External Disturbances and Unknown Control Directions

Author

Listed:
  • Yeguo Sun
  • Yihong Liu
  • Ling Li
  • Ahmed Mostafa Khalil

Abstract

In this paper, the problem of fuzzy adaptive control of unknown nonlinear fractional-order systems with external disturbances and unknown control directions is studied. We exploit a decomposition of the control gain matrix into a symmetric positive-definite matrix, a diagonal matrix with diagonal entries +1 or 1, and a unity upper triangular matrix. Fuzzy logic systems are used for estimating the unknown nonlinear functions. Based on the fractional Lyapunov direct method and some proposed lemmas, a novel fuzzy adaptive controller is designed. The proposed method can guarantee that all the signals in the closed-loop systems remain bounded and the tracking errors converge to an arbitrary small region of the origin. In addition, for updating the parameters of the fuzzy system, fractional-order adaptations laws are proposed. Lastly, an illustrative example is given to demonstrate the effectiveness of the proposed results.

Suggested Citation

  • Yeguo Sun & Yihong Liu & Ling Li & Ahmed Mostafa Khalil, 2020. "Fuzzy Adaptive Control for Fractional Nonlinear Systems with External Disturbances and Unknown Control Directions," Journal of Mathematics, Hindawi, vol. 2020, pages 1-9, December.
    • Handle: RePEc:hin:jjmath:6677704
    DOI: 10.1155/2020/6677704
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2020/6677704.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2020/6677704.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2020/6677704?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
    ---><---

    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:jjmath:6677704. 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.