IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i10ns0218348x2240237x.html
   My bibliography  Save this article

Fuzzy Sliding-Mode Control Of Fractional-Order Chaotic Systems Subject To Uncertain Control Coefficients And Input Saturation

Author

Listed:
  • FUNING LIN

    (School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, P. R. China2School of Mathematics and Quantitative Economics, Guangxi University of Finance and Economics, Nanning 530003, P. R. China)

  • GUANGWANG SU

    (School of Mathematics and Quantitative Economics, Guangxi University of Finance and Economics, Nanning 530003, P. R. China)

  • QUANBAO JI

    (School of Mathematics and Physics, Guangxi Minzu University, Nanning 530006, P. R. China)

  • ZONGQIAO TANG

    (Management School, Hainan University, Haikou 570228, P. R. China)

  • JUN FU

    (Guangxi College for Preschool Education, Nanning 530022, P. R. China)

Abstract

In this paper, a novel fuzzy sliding-mode backstepping control approach is put forward to tackle the tracking control issue of fractional-order chaotic nonlinear systems subject to uncertain control coefficient and input saturation. First, a kind of sliding surface with nonlinear term of exponential monotonic attenuation is introduced to facilitate the fast error convergence and the chaos effect suppression. Subsequently, fuzzy logic systems and Nussbaum gains are synthesized to cope with the entire uncertainties including unknown control coefficients. Furthermore, dynamic surface technique is utilized to circumvent the occurrence of “complexity explosion†during the overall backstepping control procedure. By means of the proposed control scheme, system state is guaranteed to maintain close to the sliding surface without any reaching phrase, and whereafter the tracking error converges to a sufficiently small residual set containing the origin. Finally, the comparison between the proposed control scheme and an alternative existing chaos control approach is given through numerical simulation, which further confirms the validity of the obtained results and the superiority of the proposed strategy.

Suggested Citation

  • Funing Lin & Guangwang Su & Quanbao Ji & Zongqiao Tang & Jun Fu, 2022. "Fuzzy Sliding-Mode Control Of Fractional-Order Chaotic Systems Subject To Uncertain Control Coefficients And Input Saturation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-18, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x2240237x
    DOI: 10.1142/S0218348X2240237X
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X2240237X
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X2240237X?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.

    Citations

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


    Cited by:

    1. Zhang, Xiulan & Shi, Jiangteng & Liu, Heng & Chen, Fangqi, 2024. "Adaptive fuzzy event-triggered cooperative control for fractional-order delayed multi-agent systems with unknown control direction," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 220(C), pages 552-566.

    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:wsi:fracta:v:30:y:2022:i:10:n:s0218348x2240237x. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.