Design of adaptive sliding mode controller for chaos synchronization with uncertainties

Chaos, Solitons and Fractals

Volumn 22, Issue 2, 2004, Pages 341-347

  Yau, Her Terng ^a  

^a FAR EAST UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CHAOS THEORY; COMPUTER SIMULATION; ERROR ANALYSIS; LYAPUNOV METHODS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; SPURIOUS SIGNAL NOISE; SYNCHRONIZATION;

ADAPTIVE SLIDING MODE CONTROLLERS; CHAOS SYNCHRONIZATION;

SLIDING MODE CONTROL;

EID: 1842842989     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.02.004     Document Type: Article

References (20)

1. Nayfeh A.H. Applied nonlinear dynamics. 1995;Wiley, New York.
2. Chen G., Dong X. From chaos to order: methodologies, perspectives and applications. 1998;World Scientific, Singapore.
3. Kapitaniak T. Chaotic oscillations in mechanical systems. 1991;Manchester University Press, New York.
4. Astakhov V.V., Anishchenko V.S., Kapitaniak T., Shabunin A.V. Synchronization of chaotic oscillators by periodic parametric perturbations. Physica D. 109:1997;11-16.
5. Blazejczyk-Okolewska B., Brindley J., Czolczynski K., Kapitaniak T. Antiphase synchronization of chaos by noncontinuous coupling: two impacting oscillators. Chaos, Solitons & Fractals. 12:2001;1823-1826.
6. Yang X.S., Duan C.K., Liao X.X. A note on mathematical aspects of drive-response type synchronization. Chaos, Solitons & Fractals. 10:1999;1457-1462.
7. Wang Y., Guan Z.H., Wen X. Adaptive synchronization for Chen chaotic system with fully unknown parameters. Chaos, Solitons & Fractals. 19:2004;899-903.
8. Chua L.O., Yang T., Zhong G.Q., Wu C.W. Adaptive synchronization of Chua's oscillators. Int. J. Bifurc. Chaos. 6(1):1996;189-201.
9. Liao T.L. Adaptive synchronization of two Lorenz systems. Chaos, Solitons & Fractals. 9:1998;1555-1561.
10. Lian K.Y., Liu P., Chiang T.S., Chiu C.S. Adaptive synchronization design for chaotic systems via a scalar driving signal. IEEE Trans. Circuits Syst. I. 49(1):2002;17-27.
11. Wu C.W., Yang T., Chua L.O. On adaptive synchronization and control of nonlinear dynamical systems. Int. J. Bifurc. Chaos. 6:1996;455-471.
12. Fang J.Q., Hong Y., Chen G. Switching manifold approach to chaos synchronization. Phys. Rev. E. 59:1999;2523-2526.
13. Yin X., Ren Y., Shan X. Synchronization of discrete spatiotemporal chaos by using variable structure control. Chaos, Solitons & Fractals. 14:2002;1077-1082.
14. Yu X., Song Y. Chaos synchronization via controlling partial state of chaotic systems. Int. J. Bifurc. Chaos. 11(6):2001;1737-1741.
15. Wang C., Ge S.S. Adaptive synchronization of uncertain chaotic systems via backstepping design. Chaos, Solitons & Fractals. 12:2001;199-206.
16. Lu J., Zhang S. Controlling Chen's chaotic attractor using backstepping design based on parameters identification. Phys. Lett. A. 286:2001;145-149.
17. Suykens J.A.K., Curran P.F., Vandewalle J. Robust nonlinear synchronization of chaotic Lur'e systems. IEEE Trans. Circuits Syst. I. 44(10):1997;891-904.
18. Slotine J.E., Li W. Applied nonlinear control. 1991;Prentice-Hall, Englewood Cliffs, New Jersey.
19. Chen C.L., Lin W.Y. Sliding mode control for non-linear systems with global invariance. Proc. Inst. Mech. Engrs. 211:1997;75-82.
20. Utkin V.I. Sliding modes in control optimization. 1992;Springer-Verlag, Berlin.