IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v28y2006i2p511-517.html
   My bibliography  Save this article

A new reduced-order observer design for the synchronization of Lorenz systems

Author

Listed:
  • Martínez-Guerra, R.
  • Cruz-Victoria, J.C.
  • Gonzalez-Galan, R.
  • Aguilar-Lopez, R.

Abstract

In this paper we tackle the synchronization of Lorenz system problem using a new proportional reduced-order observer design in the algebraic and differential setting. We prove the asymptotic stability of the resulting error system and by means of algebraic manipulations we obtain the estimates of the current states (master system), the construction of a proportional reduced-order observer is the main ingredient in our approach. Finally, we present a simulation to illustrate the effectiveness of the suggested approach.

Suggested Citation

  • Martínez-Guerra, R. & Cruz-Victoria, J.C. & Gonzalez-Galan, R. & Aguilar-Lopez, R., 2006. "A new reduced-order observer design for the synchronization of Lorenz systems," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 511-517.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:2:p:511-517
    DOI: 10.1016/j.chaos.2005.07.011
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007790500593X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2005.07.011?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. Panchev, S. & Spassova, T. & Vitanov, N.K., 2007. "Analytical and numerical investigation of two families of Lorenz-like dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1658-1671.
    2. Jun Huang & Yu Gao & Lei Yu, 2016. "Novel observer design method for Lur'e differential inclusion systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2128-2138, July.
    3. Aguilar-López, Ricardo & Martínez-Guerra, Rafael, 2008. "Synchronization of a class of chaotic signals via robust observer design," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 581-587.
    4. Martínez-Guerra, Rafael & Yu, Wen & Cisneros-Saldaña, Enrique, 2008. "A new model-free sliding observer to synchronization problem," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1141-1156.

    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:28:y:2006:i:2:p:511-517. 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.