CHAOS SYNCHRONIZATION IN THE PRESENCE OF NOISE

Kuan-Yu Chen, Pi-Cheng Tung (), Shih-Lin Lin and Mong-Tao Tsai
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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

International Journal of Modern Physics C (IJMPC), 2011, vol. 22, issue 12, 1409-1418

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.

Keywords: Independent component analysis; chaos synchronization; Duffing equation; Lur'e-type system; 05.45.-a; 05.45.Gg; 05.45.Xt; 05.40.Ca; 95.10.Fh (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0129183111017007

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