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Chaos Synchronization In The Presence Of Noise

Author

Listed:
  • KUAN-YU CHEN

    (Department of Mechanical Engineering, National Central University, Chung-Li, Taiwan 32054, Republic of China)

  • PI-CHENG TUNG

    (Department of Mechanical Engineering, National Central University, Chung-Li, Taiwan 32054, Republic of China)

  • SHIH-LIN LIN

    (Department of Mechanical Engineering, National Central University, Chung-Li, Taiwan 32054, Republic of China)

  • MONG-TAO TSAI

    (Department of Mechanical Engineering, National Central University, Chung-Li, Taiwan 32054, Republic of China)

Abstract

In this paper, we first develop a systematic procedure of state feedback control, based on a Lur'e-type system, to analyze the synchronization of two chaotic systems in the presence of random white noise. With the aid of the modified independent component analysis (ICA), the real chaotic signal can be extracted from a noisy source where the chaotic signal has been contaminated by random white noise. Hence, a new scheme has been proposed in this paper to combine the modified ICA design and the state feedback control method for achieving chaos synchronization. The synchronization time can be arbitrarily designed to guarantee stability, even if the system's output is corrupted by measuring noise. A Duffing system example is provided to show the effectiveness of the proposed scheme. The new scheme is first used for control systems with measurement noise which can replace the conventional Kalman filter.

Suggested Citation

  • Kuan-Yu Chen & Pi-Cheng Tung & Shih-Lin Lin & Mong-Tao Tsai, 2011. "Chaos Synchronization In The Presence Of Noise," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(12), pages 1409-1418.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:12:n:s0129183111017007
    DOI: 10.1142/S0129183111017007
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    Cited by:

    1. Setoudeh, Farbod & Dezhdar, Mohammad Matin & Najafi, M., 2022. "Nonlinear analysis and chaos synchronization of a memristive-based chaotic system using adaptive control technique in noisy environments," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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