IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v34y2007i5p1677-1682.html
   My bibliography  Save this article

Identify fully uncertain parameters and design controllers based on synchronization

Author

Listed:
  • Sun, Fengyun
  • Zhao, Yi
  • Zhou, Tianshou

Abstract

For a chaotic system with specified structure, all unknown model parameters can be simultaneously identified by a simple combination of adaptive scheme and linear feedback. Furthermore, based on the Lyapunov stability theory, a sufficient condition for chaos synchronization is derived analytically, which guarantees that the system with fully uncertain parameters and the controlled system achieve chaos synchronization. Numerical simulations are presented for demonstration.

Suggested Citation

  • Sun, Fengyun & Zhao, Yi & Zhou, Tianshou, 2007. "Identify fully uncertain parameters and design controllers based on synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1677-1682.
  • Handle: RePEc:eee:chsofr:v:34:y:2007:i:5:p:1677-1682
    DOI: 10.1016/j.chaos.2006.04.062
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077906004450
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2006.04.062?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. Čelikovský, Sergej & Chen, Guanrong, 2005. "On the generalized Lorenz canonical form," Chaos, Solitons & Fractals, Elsevier, vol. 26(5), pages 1271-1276.
    2. Feng, Jianwen & Chen, Shihua & Wang, Changping, 2005. "Adaptive synchronization of uncertain hyperchaotic systems based on parameter identification," Chaos, Solitons & Fractals, Elsevier, vol. 26(4), pages 1163-1169.
    3. El-Gohary, Awad, 2006. "Optimal synchronization of Rössler system with complete uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 345-355.
    4. Fotsin, H.B. & Woafo, P., 2005. "Adaptive synchronization of a modified and uncertain chaotic Van der Pol-Duffing oscillator based on parameter identification," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1363-1371.
    5. El-Gohary, Awad & Yassen, Rizk, 2006. "Adaptive control and synchronization of a coupled dynamo system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1085-1094.
    6. Park, Ju H., 2005. "Adaptive synchronization of hyperchaotic Chen system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 959-964.
    7. Park, Ju H. & Kwon, O., 2005. "Controlling uncertain neutral dynamic systems with delay in control input," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 805-812.
    8. Park, Ju H., 2005. "Adaptive synchronization of Rossler system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 25(2), pages 333-338.
    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. Li, Damei & Wu, Xiaoqun & Lu, Jun-an, 2009. "Estimating the ultimate bound and positively invariant set for the hyperchaotic Lorenz–Haken system," Chaos, Solitons & Fractals, Elsevier, vol. 39(3), pages 1290-1296.
    2. Chang, Wei-Der, 2006. "Parameter identification of Rossler’s chaotic system by an evolutionary algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1047-1053.
    3. Shen, Liqun & Wang, Mao, 2008. "Robust synchronization and parameter identification on a class of uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 106-111.
    4. Behzad, Mehdi & Salarieh, Hassan & Alasty, Aria, 2008. "Chaos synchronization in noisy environment using nonlinear filtering and sliding mode control," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1295-1304.
    5. Yu, Wenwu & Cao, Jinde, 2007. "Adaptive synchronization and lag synchronization of uncertain dynamical system with time delay based on parameter identification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 467-482.
    6. Liu, Bo & Wang, Ling & Jin, Yi-Hui & Huang, De-Xian & Tang, Fang, 2007. "Control and synchronization of chaotic systems by differential evolution algorithm," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 412-419.
    7. Salarieh, Hassan & Shahrokhi, Mohammad, 2008. "Adaptive synchronization of two different chaotic systems with time varying unknown parameters," Chaos, Solitons & Fractals, Elsevier, vol. 37(1), pages 125-136.
    8. El-Gohary, Awad & Yassen, Rizk, 2009. "Chaos and optimal control of a coupled dynamo with different time horizons," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 698-710.
    9. Yassen, M.T., 2008. "Synchronization hyperchaos of hyperchaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 465-475.
    10. Wu, Xianyong & Zhang, Hongmin, 2009. "Synchronization of two hyperchaotic systems via adaptive control," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2268-2273.
    11. Asemani, Mohammad Hassan & Majd, Vahid Johari, 2009. "Stability of output-feedback DPDC-based fuzzy synchronization of chaotic systems via LMI," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1126-1135.
    12. Lei, Youming & Xu, Wei & Shen, Jianwei & Fang, Tong, 2006. "Global synchronization of two parametrically excited systems using active control," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 428-436.
    13. Tutueva, Aleksandra & Moysis, Lazaros & Rybin, Vyacheslav & Zubarev, Alexander & Volos, Christos & Butusov, Denis, 2022. "Adaptive symmetry control in secure communication systems," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    14. Soong, C.Y. & Huang, W.T. & Lin, F.P., 2007. "Chaos control on autonomous and non-autonomous systems with various types of genetic algorithm-optimized weak perturbations," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1519-1537.
    15. El-Gohary, Awad, 2006. "Optimal synchronization of Rössler system with complete uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 345-355.
    16. Wang, Xingyuan & Wang, Mingjun, 2008. "A hyperchaos generated from Lorenz system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3751-3758.
    17. Rongwei Guo & Yaru Zhang & Cuimei Jiang, 2021. "Synchronization of Fractional-Order Chaotic Systems with Model Uncertainty and External Disturbance," Mathematics, MDPI, vol. 9(8), pages 1-12, April.
    18. Gao, Tiegang & Chen, Zengqiang & Yuan, Zhuzhi & Yu, Dongchuan, 2007. "Adaptive synchronization of a new hyperchaotic system with uncertain parameters," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 922-928.
    19. Ge, Zheng-Ming & Yang, Cheng-Hsiung, 2009. "Chaos synchronization and chaotization of complex chaotic systems in series form by optimal control," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 994-1002.
    20. Mossa Al-sawalha, M. & Noorani, M.S.M., 2009. "On anti-synchronization of chaotic systems via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 170-179.

    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:34:y:2007:i:5:p:1677-1682. 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.