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

被引:5
作者
Li X.-R. [1 ]
Zhao L.-Y. [2 ]
Zhao G.-Z. [1 ]
机构
[1] School of Electrical Engineering, Zhejiang University
[2] College of Computer Science, Hangzhou Dianzi University
来源
Journal of Zhejiang University-SCIENCE A | 2005年 / 6卷 / 6期
关键词
Chaos synchronization; Extended state observer; Secure communication; Sliding mode control;
D O I
10.1631/jzus.2005.A0571
中图分类号
学科分类号
摘要
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.
引用
收藏
页码:571 / 576
页数:5
相关论文
共 12 条
[1]  
Feng C.B., Fei S.M., Analyze and Design of Nonlinear Control System, pp. 208-232, (1998)
[2]  
Femat R., Alvarez-Ramirez J., Synchronization of a class of strictly different chaotic oscillators, Phys. Lett. A, 236, 12, pp. 307-313, (1997)
[3]  
Femat R., Jauregui-Ortiz R., A chaos-based communication scheme via robust asymptotic feedback, IEEE Tram. Circuits and Systems - I, 48, 10, pp. 1161-1169, (2001)
[4]  
Femat R., Alvarez-Ramirez J., Fernandez-Anaya G., Adaptive synchronization of high-order chaotic systems: A feedback with low-order parametrization, Physica D, 139, 3-4, pp. 231-246, (2000)
[5]  
Jiang Z.P., A note on chaotic secure communication systems, IEEE Trans. Circuits and Systems - I, 49, 1, pp. 92-96, (2002)
[6]  
Kennedy M.P., Robust op amp realization of Chua's circuit, Frequenz, 46, 3-4, pp. 66-80, (1992)
[7]  
Liao T.L., Huang N.S., Control and synchronization of discrete-time chaotic systems via variable structure control technique, Phys. Lett. A, 234, 4, pp. 262-268, (1997)
[8]  
Liao T.L., Huang N.S., An observer-based approach for chaotic synchronization with application to secure communication, IEEE Trans. Circuits and Systems - I, 46, 9, pp. 1144-1150, (1999)
[9]  
Liao T.L., Tsai S.H., Adaptive synchronization of chaotic systems and its application to secure communications, Chaos, Solitons and Fractals, 11, 9, pp. 1387-1396, (2000)
[10]  
Yau H.T., Chen C.K., Chen C.L., Sliding and mode control of chaotic systems with uncertainties, International Journal of Bifurcation Chaos, 10, 5, pp. 1139-1147, (2000)