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CLC number: TP273

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Received: 2004-07-09

Revision Accepted: 2004-10-18

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Journal of Zhejiang University SCIENCE A 2005 Vol.6 No.6 P.571~576

http://doi.org/10.1631/jzus.2005.A0571


Sliding mode control for synchronization of chaotic systems with structure or parameters mismatching


Author(s):  LI Xiao-run, ZHAO Liao-ying, ZHAO Guang-zhou

Affiliation(s):  School of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; more

Corresponding email(s):   lxrzly@hzcnc.com

Key Words:  Chaos synchronization, Sliding mode control, Extended state observer, Secure communication


LI Xiao-run, ZHAO Liao-ying, ZHAO Guang-zhou. Sliding mode control for synchronization of chaotic systems with structure or parameters mismatching[J]. Journal of Zhejiang University Science A, 2005, 6(6): 571~576.

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author="LI Xiao-run, ZHAO Liao-ying, ZHAO Guang-zhou",
journal="Journal of Zhejiang University Science A",
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pages="571~576",
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publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0571"
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%A ZHAO Liao-ying
%A ZHAO Guang-zhou
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%P 571~576
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%D 2005
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0571

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T1 - Sliding mode control for synchronization of chaotic systems with structure or parameters mismatching
A1 - LI Xiao-run
A1 - ZHAO Liao-ying
A1 - ZHAO Guang-zhou
J0 - Journal of Zhejiang University Science A
VL - 6
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SP - 571
EP - 576
%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0571


Abstract: 
This paper deals with the synchronization of chaotic systems with structure or parameters difference. Nonlinear differential geometry theory was applied to transform the chaotic discrepancy system into canonical form. A feedback control for synchronizing two chaotic systems is proposed based on sliding mode control design. To make this controller physically realizable, an extended state observer is used to estimate the error between the transmitter and receiver. Two illustrative examples were carried out: (1) The Chua oscillator was used to show that synchronization was achieved and the message signal was recovered in spite of parametric variations; (2) Two second-order driven oscillators were presented to show that the synchronization can be achieved and that the message can be recovered in spite of the strictly different model.

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

Reference

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[3] Femat, R., Jauregui-Ortiz, R., 2001. A chaos-based communication scheme via robust asymptotic feedback. IEEE Trans. Circuits and Systems-I, 48(10):1161-1169.

[4] Femat, R., Alvarez-Ramírez, J., Fernández-Anaya, G., 2000. Adaptive synchronization of high-order chaotic systems: a feedback with low-order parametrization. Physica D, 139(3-4):231-246.

[5] Jiang, Z.P., 2002. A note on chaotic secure communication systems. IEEE Trans. Circuits and Systems-I, 49(1):92-96.

[6] Kennedy, M.P., 1992. Robust op amp realization of Chua’s circuit. Frequenz, 46(3-4):66-80.

[7] Liao, T.L., Huang, N.S., 1997. Control and synchronization of discrete-time chaotic systems via variable structure control technique. Phys. Lett. A, 234(4):262-268.

[8] Liao, T.L., Huang, N.S., 1999. An observer-based approach for chaotic synchronization with application to secure communication. IEEE Trans. Circuits and Systems-I, 46(9):1144-1150.

[9] Liao, T.L., Tsai, S.H., 2000. Adaptive synchronization of chaotic systems and its application to secure communications. Chaos, Solitons and Fractals, 11(9):1387-1396.

[10] Yau, H.T., Chen, C.K., Chen, C.L., 2000. Sliding and mode control of chaotic systems with uncertainties. International Journal of Bifurcation Chaos, 10(5):1139-1147.

[11] Zhao, L.Y., 2004. Research on Synchronization Control of Chaotic System and Its Application in Secure Communication. Ph.D Thesis, Zhejiang University, p.62-67 (in Chinese).

[12] Zhao, L.Y., Zhao, G.Z., Li, X.R., 2004. Synchronization of hyperchaotic systems based on nonlinear feedback control. Journal of Zhejiang University (Engineering Science), 38(5):544-548 (in Chinese).

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