Anti-synchronization of four-wing chaotic systems via sliding mode control

Springer Science and Business Media LLC - Tập 9 Số 3 - Trang 274-279 - 2012
Sundarapandian Vaıdyanathan1, Sivaperumal Sampath1
1Vel Tech Dr. RR Dr. SR Technical University, Chennai 600 062, India

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Tài liệu tham khảo

K. T. Alligood, T. Sauer, J. A. Yorke. Chaos: An Introduction to Dynamical Systems, New York, USA: Springer-Verlag, 1997.

L. M. Pecora, T. L. Carroll. Synchronization in chaotic systems. Physical Review Letters, vol. 64, no. 8, pp. 821–824, 1990.

M. Lakshmanan, K. Murali. Chaos in Nonlinear Oscillators: Controlling and Synchronization, Singapore: World Scientific, 1996.

S. K. Han, C. Kerrer, Y. Kuramoto. Dephasing and bursting in coupled neural oscillators. Physical Review Letters, vol. 75, no. 17, pp. 3190–3193, 1995.

B. Blasius, A. Huppert, L. Stone. Complex dynamics and phase synchronization in spatially extended ecological system. Nature, vol. 399, no. 6734, pp. 354–359, 1999.

K. M. Cuomo, A. V. Oppenheim. Circuit implementation of synchronized chaos with applications to communications. Physical Review Letters, vol. 71, no. 1, pp. 65–68, 1993.

L. Kocarev, U. Parlitz. General approach for chaotic synchronization with applications to communication. Physical Review Letters, vol. 74, no. 25, pp. 5028–5031, 1995.

K. Murali, M. Lakshmanan. Secure communication using a compound signal using sampled-data feedback. Applied Mathematics and Mechanics, vol. 11, pp. 1309–1315, 2003.

E. Ott, C. Grebogi, J. A. Yorke. Controlling chaos. Physical Review Letters, vol. 64, no. 11, pp. 1196–1199, 1990.

M. C. Ho, Y. C. Hung. Synchronization of two different systems using generalized active network. Physics Letters A, vol. 301, no. 5–6, pp. 424–428, 2002.

L. Huang, R. Feng, M. Wang. Synchronization of chaotic systems via nonlinear control. Physical Letters A, vol. 320, no. 4, pp. 271–275, 2004.

H. K. Chen. Global chaos synchronization of new chaotic systems via nonlinear control. Chaos, Solitons and Fractals, vol. 23, no. 4, pp. 1245–1251, 2005.

J. Lu, X. Wu, X. Han, J. Lü. Adaptive feedback synchronization of a unified chaotic system. Physics Letters A, vol. 329, no. 4–5, pp. 327–333, 2004.

S. H. Chen, J. Lü. Synchronization of an uncertain unified chaotic system via adaptive control. Chaos, Solitons and Fractals, vol. 14, no. 4, pp. 643–647, 2002.

T. T. Arif. Adaptive control of rigid body satellite. International Journal of Automation and Computing, vol. 5, no. 3, pp. 296–306, 2008.

J. H. Park, O. M. Kwon. A novel criterion for delayed feedback control of time-delay chaotic systems. Chaos, Solitons and Fractals, vol. 23, no. 2, pp. 495–501, 2005.

L. Sheng, H. Z. Yang. H∞ synchronization of chaotic systems via delayed feedback control. International Journal of Automation and Computing, vol. 7, no. 2, pp. 230–235, 2010.

X. Wu, J. Lu. Parameter identification and back-stepping control of uncertain Lü system. Chaos, Solitons and Fractals, vol. 18, no. 4, pp. 721–729, 2003.

S. C. Tong, Y. M. Li. Adaptive back-stepping output feedback control for SISO nonlinear system using fuzzy neural networks. International Journal of Automation and Computing, vol. 6, no. 2, pp. 145–153, 2009.

K. Murali, M. Lakshmanan. Secure communication using a compound signal using sampled-data feedback. Applied Mathematics and Mechanics, vol. 11, pp. 1309–1315, 2003.

V. I. Utkin. Sliding mode control design principles and applications to electric drives. IEEE Transactions on Industrial Electronics, vol. 40, no. 1, pp. 23–36, 1993.

A. Boubakir, F. Boudjema, S. Labiod. A neuro-fuzzy sliding mode controller using nonlinear sliding surface applied to the coupled tanks system. International Journal of Automation and Computing, vol. 6, no. 1, pp. 72–80, 2009.

R. Saravanakumar, K. V. Kumar, K. K. Ray. Sliding mode control of induction motor using simulation approach. International Journal of Computer Science and Network Security, vol. 9, no. 10, pp. 93–104, 2009.

G. Qi, G. Chen, M. A. van Wyk, B. J. van Wyk, Y. Zhang. A four-wing chaotic attractor generated from a new 3-D quadratic autonomous system. Chaos, Solitons and Fractals, vol. 38, no. 3, pp. 705–721, 2008.

X. Y. Liu. A new 3D four-wing chaotic system with cubic nonlinearity and its circuit implementation. Chinese Physics Letters, vol. 26, no. 9, pp. 504–567, 2009.

W. Hahn. The Stability of Motion, Berlin, Germany: Springer-Verlag, 1967.