IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v199y2025ip1s0960077925006964.html
   My bibliography  Save this article

An adaptive nonlinear controller design for a class of uncertain chaotic systems with single input using linear model reference

Author

Listed:
  • Adıgüzel, Fatih

Abstract

This paper addresses a new linear model reference adaptive control scheme design for chaos control of a class of chaotic systems. The controller structure is introduced for second-order and high-order chaotic nonlinear systems, and all constant parameters and controller gain are assumed to be uncertain. Based on the adaptation rules invoked by the Lyapunov theory, a model reference adaptive controller technique with a single input is designed to attenuate the chaos of the uncertain chaotic system. A high-order filtered signal-based Lyapunov function is used to prove the asymptotic stability of the closed-loop error dynamics. To demonstrate the performance of the designed controller, the proposed method is applied to reduce parametric uncertainties and chaotic oscillations in 2D chaotic Gyro and 3D Genesio–Tesi chaotic systems. The outputs of a successful model reference tracking for different reference responses of chaotic systems are presented with simulation results. The simulation results exhibit that the proposed theoretical method has both viability and robustness against unknown controller gain, also making it suitable for the application of chaotic systems control for tracking the desired linear model reference system. Even further than these, the proposed method is to provide convenience in the synchronization of both transient and steady-state responses.

Suggested Citation

  • Adıgüzel, Fatih, 2025. "An adaptive nonlinear controller design for a class of uncertain chaotic systems with single input using linear model reference," Chaos, Solitons & Fractals, Elsevier, vol. 199(P1).
  • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p1:s0960077925006964
    DOI: 10.1016/j.chaos.2025.116683
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925006964
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2025.116683?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.

    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:eee:chsofr:v:199:y:2025:i:p1:s0960077925006964. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-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.