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Journal of Zhejiang University SCIENCE A 2002 Vol.3 No.1 P.42~46

http://doi.org/10.1631/jzus.2002.0042


Application of chaotic theory to parameter estimation


Author(s):  TONG Qin-ye, FAN Ying-le, LI Yi

Affiliation(s):  Department of Life Science and Biomedical Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s): 

Key Words:  control system, chaos, parameter estimation, nonlinearity, existing engineering method


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TONG Qin-ye, FAN Ying-le, LI Yi. Application of chaotic theory to parameter estimation[J]. Journal of Zhejiang University Science A, 2002, 3(1): 42~46.

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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2002.0042"
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Abstract: 
High precision parameter estimation is very important for control system design and compensation. This paper utilizes the properties of chaotic system for parameter estimation. Theoretical analysis and experimental results indicated that this method has extremely high sensitivity and resolving power. The most important contribution of this paper is apart from the traditional engineering viewpoint and actualizing parameter estimation just based on unstable chaotic systems.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Chen,G.R., 1993. From chaos to order. Int. J. of Bifurcation and Chaos, 3(6):1363-1409.

[2] Chen,S.Q., Yuan,R.Y., Tong,Q.Y., 2000. Multinumber chaotic A/D transformer. Journal of metrology, 21(1):12-16(in Chinese, with English abstract).

[3] Hao,B.L., 1989. Elementary Symbolic Dynamics and Chaos in Dissipative System. World Scientific, Singapore,p.1-50.

[4] Ott,E., Grebogi,C., Yorke,J., 1990. Controlling chaos. Phys. Rev. Lett., 64(11):1196-1199.

[5] Pecora,L.M., 1993. Overview of chaos and communication research. In: Chaos in Communication. SPIE Vol. 2038.

[6] Tong,Q.Y., Yan,X.G., Kong,J., et al., 1999. Measuring with chaos. Journal of Electronics, 21(1):42-48(in Chinese, with English abstract).

[7] Tong,Q.Y., Yan,X.G., Qian,M.Q., et al., 2000. A modified method of measuring with chaos. Journal of Apparatus and Instrument, 21(1):22-27(in Chinese, with English abstract).

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