IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2021i1p43-d709642.html
   My bibliography  Save this article

Nonsingular Terminal Sliding Mode Control Based on Adaptive Barrier Function for n th -Order Perturbed Nonlinear Systems

Author

Listed:
  • Khalid A. Alattas

    (Department of Computer Science and Artificial Intelligence, College of Computer Science and Engineering, University of Jeddah, Jeddah 23890, Saudi Arabia)

  • Javad Mostafaee

    (Future Technology Research Center, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan)

  • Abdullah K. Alanazi

    (Department of Chemistry, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

  • Saleh Mobayen

    (Future Technology Research Center, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan)

  • Mai The Vu

    (School of Intelligent Mechatronics Engineering, Sejong University, Seoul 05006, Korea)

  • Anton Zhilenkov

    (Department of Cyber-Physical Systems, St. Petersburg State Marine Technical University, 190121 Saint-Petersburg, Russia)

  • Hala M. Abo-Dief

    (Department of Chemistry, Faculty of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

Abstract

In this study, an adaptive nonsingular finite time control technique based on a barrier function terminal sliding mode controller is proposed for the robust stability of n th -order nonlinear dynamic systems with external disturbances. The barrier function adaptive terminal sliding mode control makes the convergence of tracking errors to a region near zero in the finite time. Moreover, the suggested method does not need the information of upper bounds of perturbations which are commonly applied to the sliding mode control procedure. The Lyapunov stability analysis proves that the errors converge to the determined region. Last of all, simulations and experimental results on a complex new chaotic system with a high Kaplan–Yorke dimension are provided to confirm the efficacy of the planned method. The results demonstrate that the suggested controller has a stronger tracking than the adaptive controller and the results are satisfactory with the application of the controller based on chaotic synchronization on the chaotic system.

Suggested Citation

  • Khalid A. Alattas & Javad Mostafaee & Abdullah K. Alanazi & Saleh Mobayen & Mai The Vu & Anton Zhilenkov & Hala M. Abo-Dief, 2021. "Nonsingular Terminal Sliding Mode Control Based on Adaptive Barrier Function for n th -Order Perturbed Nonlinear Systems," Mathematics, MDPI, vol. 10(1), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2021:i:1:p:43-:d:709642
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/1/43/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/1/43/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Chih-Hsueh Lin & Chia-Wei Ho & Guo-Hsin Hu & Baswanth Sreeramaneni & Jun-Juh Yan, 2021. "Secure Data Transmission Based on Adaptive Chattering-Free Sliding Mode Synchronization of Unified Chaotic Systems," Mathematics, MDPI, vol. 9(21), pages 1-11, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Khalid A. Alattas & Javad Mostafaee & Aceng Sambas & Abdullah K. Alanazi & Saleh Mobayen & Mai The Vu & Anton Zhilenkov, 2021. "Nonsingular Integral-Type Dynamic Finite-Time Synchronization for Hyper-Chaotic Systems," Mathematics, MDPI, vol. 10(1), pages 1-21, December.

    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:gam:jmathe:v:10:y:2021:i:1:p:43-:d:709642. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.