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CLC number: TP273

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Received: 2002-06-04

Revision Accepted: 2002-11-08

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Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.4 P.437~440

http://doi.org/10.1631/jzus.2003.0437


Control uncertain continuous-time chaotic dynamical system


Author(s):  QI Dong-lian, ZHAO Guang-zhou

Affiliation(s):  Electrical Engineering College, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   ldq0924@china.com.cn

Key Words:  Chaotic dynamical system, Sliding mode control, Synchronization


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QI Dong-lian, ZHAO Guang-zhou. Control uncertain continuous-time chaotic dynamical system[J]. Journal of Zhejiang University Science A, 2003, 4(4): 437~440.

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author="QI Dong-lian, ZHAO Guang-zhou",
journal="Journal of Zhejiang University Science A",
volume="4",
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pages="437~440",
year="2003",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2003.0437"
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%A QI Dong-lian
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%J Journal of Zhejiang University SCIENCE A
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%P 437~440
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%D 2003
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2003.0437

TY - JOUR
T1 - Control uncertain continuous-time chaotic dynamical system
A1 - QI Dong-lian
A1 - ZHAO Guang-zhou
J0 - Journal of Zhejiang University Science A
VL - 4
IS - 4
SP - 437
EP - 440
%@ 1869-1951
Y1 - 2003
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2003.0437


Abstract: 
The new chaos control method presented in this paper is useful for taking advantage of chaos. Based on sliding mode control theory, this paper provides a switching manifold controlling strategy of chaotic system, and also gives a kind of adaptive parameters estimated method to estimate the unknown systems' parameters by which chaotic dynamical system can be synchronized. Taking the Lorenz system as example, and with the help of this controlling strategy, we can synchronize chaotic systems with unknown parameters and different initial conditions.

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

Reference

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[3]Kolumban, G. and Michael, P. K., 1998. The role of synchronization in digital communications using chaos. IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Applications, 45(11):235-239.

[4]Lai, Y. C. and Grebogi, C., 1993. Synchronization of chaotic trajectories using control. Physical Review Letter, 47(4):2357-2360.

[5]Leung, H. and Lo, T., 1993. Chaotic radar signal processing over the sea. IEEE J. Oceanic Eng., 18(2):287-295.

[6]Maybhate, A. and Amritkar, R.E., 1999. Use of synchronization and adaptive control in parameter estimation from a time series. Physical Review E,59(1):284-292.

[7]Pecora, L.M. and Carroll, T. L., 1991. Driving systems with chaotic signals. Physical Review A, 44(4): 2375-2383.

[8]Tong, Q.Y., Fan, Y.L. and Li, Y.,2002. Application of chaotic theory to parameter estimation. Journal of Zhejiang University SCIENCE,3(1): 42-46.

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