IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v42y2009i5p3219-3233.html
   My bibliography  Save this article

Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer

Author

Listed:
  • Rodríguez, A.
  • De León, J.
  • Fridman, L.

Abstract

The reduced-order synchronization problem of two chaotic systems (master–slave) with different dimension and relative degree is considered. A control scheme based on a high-order sliding-mode observer-identifier and a feedback state controller is proposed, where the trajectories of slave can be synchronized with a canonical projection of the master. Thus, the reduced-order synchronization is achieved in spite of master/slave mismatches. Simulation results are provided in order to illustrate the performance of the proposed synchronization scheme.

Suggested Citation

  • Rodríguez, A. & De León, J. & Fridman, L., 2009. "Synchronization in reduced-order of chaotic systems via control approaches based on high-order sliding-mode observer," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3219-3233.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:5:p:3219-3233
    DOI: 10.1016/j.chaos.2009.04.055
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077909004408
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2009.04.055?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. Carsten Schäfer & Michael G. Rosenblum & Jürgen Kurths & Hans-Henning Abel, 1998. "Heartbeat synchronized with ventilation," Nature, Nature, vol. 392(6673), pages 239-240, March.
    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. Suresh, R. & Senthilkumar, D.V. & Lakshmanan, M. & Kurths, J., 2016. "Emergence of a common generalized synchronization manifold in network motifs of structurally different time-delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 235-245.
    2. Ekaterina I. Borovkova & Vladimir I. Ponomarenko & Anatoly S. Karavaev & Elizaveta S. Dubinkina & Mikhail D. Prokhorov, 2023. "Method of Extracting the Instantaneous Phases and Frequencies of Respiration from the Signal of a Photoplethysmogram," Mathematics, MDPI, vol. 11(24), pages 1-14, December.
    3. Li, Yu & Wang, Jun & Li, Jin & Liu, Dazhao, 2015. "Effect of extreme data loss on heart rate signals quantified by entropy analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 651-658.
    4. Jajcay, Nikola, 2018. "Spatial and temporal scales of atmospheric dynamics," Thesis Commons ar8ks, Center for Open Science.
    5. Li, Jin & Hu, Jing & Zhang, Yinhong & Zhang, Xiaofeng, 2011. "Dynamical complexity changes during two forms of meditation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2381-2387.
    6. Polynikis, A. & di Bernardo, M. & Hogan, S.J., 2009. "Synchronizability of coupled PWL maps," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1353-1367.
    7. Ponomarenko, V.I. & Prokhorov, M.D. & Bespyatov, A.B. & Bodrov, M.B. & Gridnev, V.I., 2005. "Deriving main rhythms of the human cardiovascular system from the heartbeat time series and detecting their synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1429-1438.
    8. Vieira, Robson & Martins, Weliton S. & Barreiro, Sergio & Oliveira, Rafael A. de & Chevrollier, Martine & Oriá, Marcos, 2021. "Synchronization of a nonlinear oscillator with a sum signal from equivalent oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    9. Christoph Bauermeister & Tilo Schwalger & David F Russell & Alexander B Neiman & Benjamin Lindner, 2013. "Characteristic Effects of Stochastic Oscillatory Forcing on Neural Firing: Analytical Theory and Comparison to Paddlefish Electroreceptor Data," PLOS Computational Biology, Public Library of Science, vol. 9(8), pages 1-16, August.
    10. Setty, V.A. & Sharma, A.S., 2015. "Characterizing Detrended Fluctuation Analysis of multifractional Brownian motion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 698-706.
    11. Yurii M. Ishbulatov & Tatiana S. Bibicheva & Vladimir I. Gridnev & Mikhail D. Prokhorov & Marina V. Ogneva & Anton R. Kiselev & Anatoly S. Karavaev, 2022. "Contribution of Cardiorespiratory Coupling to the Irregular Dynamics of the Human Cardiovascular System," Mathematics, MDPI, vol. 10(7), pages 1-18, March.
    12. Lee, S.H. & Park, M.J. & Kwon, O.M. & Sakthivel, R., 2016. "Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process," Applied Mathematics and Computation, Elsevier, vol. 290(C), pages 439-459.
    13. Maik Riedl & Andreas Müller & Jan F Kraemer & Thomas Penzel & Juergen Kurths & Niels Wessel, 2014. "Cardio-Respiratory Coordination Increases during Sleep Apnea," PLOS ONE, Public Library of Science, vol. 9(4), pages 1-7, April.

    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:42:y:2009:i:5:p:3219-3233. 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.