IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v39y2009i1p356-362.html
   My bibliography  Save this article

Chaos control of 4D chaotic systems using recursive backstepping nonlinear controller

Author

Listed:
  • Laoye, J.A.
  • Vincent, U.E.
  • Kareem, S.O.

Abstract

This paper examines chaos control of two four-dimensional chaotic systems, namely: the Lorenz–Stenflo (LS) system that models low-frequency short-wavelength gravity waves and a new four-dimensional chaotic system (Qi systems), containing three cross products. The control analysis is based on recursive backstepping design technique and it is shown to be effective for the 4D systems considered. Numerical simulations are also presented.

Suggested Citation

  • Laoye, J.A. & Vincent, U.E. & Kareem, S.O., 2009. "Chaos control of 4D chaotic systems using recursive backstepping nonlinear controller," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 356-362.
  • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:356-362
    DOI: 10.1016/j.chaos.2007.04.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077907003293
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2007.04.020?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.

    References listed on IDEAS

    as
    1. Vincent, U.E., 2008. "Synchronization of identical and non-identical 4-D chaotic systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1065-1075.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Kaur, Rajinder Pal & Sharma, Amit & Sharma, Anuj Kumar & Sahu, Govind Prasad, 2021. "Chaos control of chaotic plankton dynamics in the presence of additional food, seasonality, and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    2. Wang, Chunni & Liu, Zhilong & Hobiny, Aatef & Xu, Wenkang & Ma, Jun, 2020. "Capturing and shunting energy in chaotic Chua circuit," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).

    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. J. Humberto Pérez-Cruz & Pedro A. Tamayo-Meza & Maricela Figueroa & Ramón Silva-Ortigoza & Mario Ponce-Silva & R. Rivera-Blas & Mario Aldape-Pérez, 2019. "Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control," Complexity, Hindawi, vol. 2019, pages 1-10, July.
    2. López-Gutiérrez, R.M. & Posadas-Castillo, C. & López-Mancilla, D. & Cruz-Hernández, C., 2009. "Communicating via robust synchronization of chaotic lasers," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 277-285.
    3. J. Humberto Pérez-Cruz, 2018. "Stabilization and Synchronization of Uncertain Zhang System by Means of Robust Adaptive Control," Complexity, Hindawi, vol. 2018, pages 1-19, December.
    4. Lorı´a, Antonio, 2011. "Cascades-based synchronization of hyperchaotic systems: Application to Chen systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(9), pages 702-709.
    5. Runzi Luo & Haipeng Su & Yanhui Zeng, 2017. "Chaos Control and Synchronization via Switched Output Control Strategy," Complexity, Hindawi, vol. 2017, pages 1-11, January.
    6. Posadas-Castillo, C. & Cruz-Hernández, C. & López-Gutiérrez, R.M., 2009. "Experimental realization of synchronization in complex networks with Chua’s circuits like nodes," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1963-1975.
    7. Tien-Loc Le & Tuan-Tu Huynh & Vu-Quynh Nguyen & Chih-Min Lin & Sung-Kyung Hong, 2020. "Chaotic Synchronization Using a Self-Evolving Recurrent Interval Type-2 Petri Cerebellar Model Articulation Controller," Mathematics, MDPI, vol. 8(2), pages 1-26, February.

    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:eee:chsofr:v:39:y:2009:i:1:p:356-362. 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: 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.