Synchronization of chaotic systems with parametric uncertainties using sliding observers

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 14, Issue 7, 2004, Pages 2467-2475

  Feki, Moez ^a  

^a UNIVERSITÉ DE REIMS CHAMPAGNE ARDENNE   (France)

Author keywords

Adaptive parameter estimator; Chaos synchronization; Sliding observers

Indexed keywords

COMPUTER SIMULATION; ERROR ANALYSIS; FEEDBACK; PARAMETER ESTIMATION; SIGNAL THEORY; SYNCHRONIZATION; THEOREM PROVING;

ADAPTIVE PARAMETER ESTIMATION; CHAOS SYNCHRONIZATION; SLIDING OBSERVERS;

CHAOS THEORY;

EID: 13844255346     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740401076X     Document Type: Article

References (27)

1. Azemi, A. & Yaz, E. E. [2000] "Sliding-mode adaptive observer approach to chaotic synchronization," ASME Trans. J. Dyn. Sys. Meas. Contr. 122, 758-765.
2. Bai, E.-W., Lonngren, K. & Sprott, J. [2002] "On the synchronization of a class of electronic circuits that exhibit chaos," Chaos Solit. Pract. 13, 1515-1521.
3. Bernardo, M. D. [1996] "An adaptive approach to the control and synchronization of continuous-time chaotic systems," Int. J. Bifurcation and Chaos 6, 557-568.
4. Besançon, G. [2000] "Remarks on nonlinear adaptive observer design," Syst. Contr. Lett. 41, 271-280.
5. Boccaletti, S., Kurths, J., Osipov, G., Valladares, D. & Zhou, C. [2002] "The synchronization of chaotic systems," Phys. Rep. 366, 1-101.
6. Carroll, T. L. & Pecora, L. M. [1991] "Synchronizing chaotic circuits," IEEE Trans. Circuits Syst. 38, 453-456.
7. Chen, S. & Lü, J. [2002] "Synchronization of an uncertain unified chaotic system via adaptive control," Chaos Solit. Fract. 14, 643-647.
8. eme," Colloque sur le Chaos Temporel et le Chaos Spatio-temporel (Le Havre-France), pp. 65-70.
9. Feki, M. & Robert, B. [2003] "Observer-based chaotic synchronization in the presence of unknown inputs," Chaos Solit. Fract. 15, 831-840.
10. Feng, L., Yong, R., Shan, X. & Qiu, Z. [2002] "A lin ear feedback synchronization theorem for a class of chaotic systems," Chaos Solit. Fract. 13, 723-730.
11. Fuh, C.-C. & Tung, P.-C. [1996] "Robust control for a class of nonlinear oscillators with chaotic attractors," Phys. Lett. A218, 240-248.
12. Khalil, H. K. [1992] Nonlinear Systems (Macmillan, NY).
13. Kocarev, L. & Parlitz, U. [1995] "General approach for chaotic synchronization with applications to communication," Phys. Rev. Lett. 74, 5028-5031.
14. Konishi, K., Hirai, M. & Kokame, H. [1998] "Sliding mode control for a class of chaotic systems," Phys. Lett. A245, 511-517.
15. Kozlov, A. K., Shalfeev, V. D. & Chua, L. O. [1996] "Exact synchronization of mismatched chaotic systems," Int. J. Bifurcation and Chaos 6, 569-580.
16. Lü, J., Zhou, T. & Zhang, S. [2002] "Chaos synchronization between linearly coupled chaotic systems," Chaos Solit. Fract. 14, 529-541.
17. Morgül, Ö. & Feki, M. [1997] "On the synchronization of chaotic systems by using occasional coupling," Phys. Rev. E55, 5004-5009.
18. Morgül, Ö. & Solak, E. [1997] On the synchronization of chaotic systems by using state observers," Int. J. Bifurcation and Chaos 7, 1307-1322.
19. Nijmeijer, H. & Mareels, I. M. [1997] "An observer looks at synchronization," IEEE Trans. Circuits Syst.-I 44, 882-890.
20. Pecora, L. M. & Carroll, T. L. [1990] "Synchronization in chaotic systems," Phys. Rev. Lett. 64, 821-824.
21. Schweizer, J., Kennedy, M. P., Hasler, M. & Dedieu, H. [1995] "Synchronization theorem for a chaotic system," Int. J. Bifurcation and Chaos 5, 297-302.
22. Sprott, J. [2000] "Simple chaotic systems and circuits," Am. J. Phys. 88, 758-763.
23. Tsai, H.-H., Fuh, C.-C. & Chang, C.-N. [2002] "A robust controller for chaotic systems under external excitation," Chaos Solit. Fract. 14, 627-632.
24. Vidyasagar, M. [1993] Nonlinear Systems Analysis, 2nd edition (Prentice Hall, NJ).
25. Wang, C. & Ge, S. [2001] "Adaptive synchronization of uncertain chaotic systems via backstepping design," Chaos Solit. Fract. 12, 1199-1206.
26. Wu, C. W. & Chua, L. O. [1994] "A unified framework for synchronization and control of dynamical systems," Int. J. Bifurcation and Chaos 4, 979-998.
27. Wu, C. W., Yang, T. & Chua, L. O. [1996] "On adaptive synchronization and control of nonlinear dynamical systems," Int. J. Bifurcation and Chaos 6, 455-471.