IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v41y2009i5p2716-2724.html
   My bibliography  Save this article

Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems

Author

Listed:
  • Chen, Mou
  • Chen, Wen-hua

Abstract

In this paper, a robust adaptive neural network synchronization controller is proposed for two chaotic systems with input time delay and uncertainty. The studied chaotic system may possess a wide class of nonlinear time-delayed input uncertainty. The radial basis function (RBF) neural network is used to approximate the unknown continuous bounded function item of the time delay uncertainty via appropriate weight value updated law. With the output of RBF neural network, a robust adaptive synchronization control scheme is presented for the time delay uncertain chaotic system. Finally, a simulation example is used to illustrate the effectiveness of the proposed synchronization control scheme.

Suggested Citation

  • Chen, Mou & Chen, Wen-hua, 2009. "Robust adaptive neural network synchronization controller design for a class of time delay uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2716-2724.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2716-2724
    DOI: 10.1016/j.chaos.2008.10.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077908004700
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2008.10.003?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. Wen, Guilin & Wang, Qing-Guo & Lin, Chong & Han, Xu & Li, Guangyao, 2006. "Synthesis for robust synchronization of chaotic systems under output feedback control with multiple random delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1142-1146.
    2. Mou, Chen & Jiang, Chang-sheng & Bin, Jiang & Wu, Qing-xian, 2009. "Sliding mode synchronization controller design with neural network for uncertain chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1856-1863.
    3. Park, Ju H., 2006. "Chaos synchronization between two different chaotic dynamical systems," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 549-554.
    4. Shahverdiev, E.M. & Nuriev, R.A. & Hashimov, R.H. & Shore, K.A., 2006. "Chaos synchronization between the Mackey–Glass systems with multiple time delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 854-861.
    5. Lin, Jui-Sheng & Liao, Teh-Lu & Yan, Jun-Juh & Yau, Her-Terng, 2005. "Synchronization of unidirectional coupled chaotic systems with unknown channel time-delay: Adaptive robust observer-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 971-978.
    6. Elabbasy, E.M. & Agiza, H.N. & El-Dessoky, M.M., 2006. "Adaptive synchronization of a hyperchaotic system with uncertain parameter," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1133-1142.
    7. Shahverdiev, E.M. & Hashimov, R.H. & Nuriev, R.A. & Hashimova, L.H. & Huseynova, E.M. & Shore, K.A., 2006. "Inverse chaos synchronization in linearly and nonlinearly coupled systems with multiple time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 29(4), pages 838-844.
    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. Shahnazi, Reza & Haghani, Adel & Jeinsch, Torsten, 2015. "Adaptive fuzzy observer-based stabilization of a class of uncertain time-delayed chaotic systems with actuator nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 98-110.
    2. Yao, Qijia & Alsaade, Fawaz W. & Al-zahrani, Mohammed S. & Jahanshahi, Hadi, 2023. "Fixed-time neural control for output-constrained synchronization of second-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    3. Yao, Qijia, 2021. "Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    4. Wan, Xiaojun & Sun, Jitao, 2011. "Adaptive–impulsive synchronization of chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(8), pages 1609-1617.

    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. Shahverdiev, E.M. & Hashimova, L.H. & Hashimova, N.T., 2008. "Chaos synchronization in some power systems," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 827-834.
    2. Yao, Qijia, 2021. "Neural adaptive learning synchronization of second-order uncertain chaotic systems with prescribed performance guarantees," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    3. Hoang, Thang Manh, 2009. "Transition among synchronous schemes in coupled nonidentical multiple time delay systems," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 938-950.
    4. Li, Nianqiang & Pan, Wei & Yan, Lianshan & Luo, Bin & Xu, Mingfeng & Jiang, Ning & Tang, Yilong, 2011. "On joint identification of the feedback parameters for hyperchaotic systems: An optimization-based approach," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 198-207.
    5. Ahmad Sami Bataineh & Osman Rasit Isik & Moa’ath Oqielat & Ishak Hashim, 2021. "An Enhanced Adaptive Bernstein Collocation Method for Solving Systems of ODEs," Mathematics, MDPI, vol. 9(4), pages 1-15, February.
    6. Xu, Yuhua & Zhou, Wuneng & Fang, Jian-an, 2009. "Hybrid dislocated control and general hybrid projective dislocated synchronization for the modified Lü chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1305-1315.
    7. Elabbasy, E.M. & El-Dessoky, M.M., 2008. "Synchronization of van der Pol oscillator and Chen chaotic dynamical system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1425-1435.
    8. Tam, Lap Mou & Si Tou, Wai Meng, 2008. "Parametric study of the fractional-order Chen–Lee system," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 817-826.
    9. Ge, Zheng-Ming & Chang, Ching-Ming, 2009. "Nonlinear generalized synchronization of chaotic systems by pure error dynamics and elaborate nondiagonal Lyapunov function," Chaos, Solitons & Fractals, Elsevier, vol. 39(4), pages 1959-1974.
    10. Hoang, Thang Manh, 2011. "Complex synchronization manifold in coupled time-delayed systems," Chaos, Solitons & Fractals, Elsevier, vol. 44(1), pages 48-57.
    11. Park, Ju H., 2009. "Synchronization of cellular neural networks of neutral type via dynamic feedback controller," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1299-1304.
    12. Zhu, Fanglai, 2009. "Observer-based synchronization of uncertain chaotic system and its application to secure communications," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2384-2391.
    13. Shang, Li-Jen & Shyu, Kuo-Kai, 2009. "A method for extracting chaotic signal from noisy environment," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1120-1125.
    14. Wu, Quanjun & Zhou, Jin & Xiang, Lan & Liu, Zengrong, 2009. "Impulsive control and synchronization of chaotic Hindmarsh–Rose models for neuronal activity," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2706-2715.
    15. D. H. Ji & Ju H. Park & S. M. Lee & J. H. Koo & S. C. Won, 2010. "Synchronization Criterion for Lur’e Systems via Delayed PD Controller," Journal of Optimization Theory and Applications, Springer, vol. 147(2), pages 298-317, November.
    16. Guo, Wanli & Chen, Shihua & Zhou, Hong, 2009. "A simple adaptive-feedback controller for chaos synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 316-321.
    17. Agrawal, S.K. & Srivastava, M. & Das, S., 2012. "Synchronization of fractional order chaotic systems using active control method," Chaos, Solitons & Fractals, Elsevier, vol. 45(6), pages 737-752.
    18. Mossa Al-sawalha, M. & Noorani, M.S.M., 2009. "A numeric–analytic method for approximating the chaotic Chen system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1784-1791.
    19. Dadras, Sara & Momeni, Hamid Reza, 2010. "Adaptive sliding mode control of chaotic dynamical systems with application to synchronization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(12), pages 2245-2257.
    20. Li, Lixiang & Peng, Haipeng & Yang, Yixian & Wang, Xiangdong, 2009. "On the chaotic synchronization of Lorenz systems with time-varying lags," Chaos, Solitons & Fractals, Elsevier, vol. 41(2), pages 783-794.

    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:41:y:2009:i:5:p:2716-2724. 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.