An adaptive observer design for auto-synchronization of Lorenz system

International Journal of Bifurcation and Chaos

Volumn 18, Issue 8, 2008, Pages 2415-2423

  Liu, Ying ^a   Tang, Wallace ^a   Kocarev, Ljupco ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Adaptive observer; Auto synchronization; Lorenz system

Indexed keywords

CHAOTIC SYSTEMS; LYAPUNOV METHODS;

ADAPTIVE OBSERVER; ADAPTIVE OBSERVER DESIGN; AUTO-SYNCHRONIZATION; CONDITIONAL LYAPUNOV EXPONENT; CRITICAL CASE; DESIGN RULES; DYNAMICAL EQUATION; LORENZ SYSTEM;

SYNCHRONIZATION;

EID: 54949156028     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127408021786     Document Type: Article

References (19)

1. Besancon, G., León-Morales,.J. & Huerta-Guevara, O. [2006] "On adaptive observer for state affine systems," Int. J. Contr. 79, 581-591.
2. Chen, S. H. & Lü, J. H. [2002] "Parameter identification and synchronization of chaotic systems based upon adaptive control," Phys. Lett. A 299, 353-358.
3. Gauthier, D. J. & Bienfang, J. C. [1996] "Intermittent loss of synchronization in coupled chaotic oscillators: Toward a new criterion for high-quality synchronization." Phys. Rev. Lett. 77, 1751-1754.
4. Goodwin, J., Brown, It. & Junge, L. [1998] e-print http://xxx.lanl.gov/abs/chao-dyn/9811002.
5. Huang, D. [2004] "Synchronization-based estimation for all parameters of chaotic systems from time series," Phys. Rev. E 69, 067201.
6. Huang, D. [2006] "Adaptive-feedback control algorithm," Phys. Rev. E 73, 066204.
7. Konnur, R. [2003| "Synchronization-based approach for estimating all model parameters of chaotic systems," Phys. Rev. E 67, 027204.
8. Koshkouei, A. J. & Zinober, A. S. I. [2004] "Sliding mode state observation for non-linear systems," Int. J. Contr. 77, 118-127.
9. Lagarias, J. C., Reeds, J. A., Wright, M. H. & Wright, P. E. [11998] "Convergence properties of the Nelder-Mead simplex method in low dimensions," SIAM J. Optim. 9, 112-147.
10. Maybhate, A. & Amritkar, R. E. [1999] "Use of synchronization and adaptive control in parameter estimation from a time series," Phys. Rev. E 59, 284-293.
11. Maybhate, A. & Amritkar, R. E. [2000] "Dynamic algorithm for parameter estimation and its applications," Phys. Rev. E 61, 6461-6470.
12. Parlitz, U. [1996] "Estimating model parameters from time series by auto-synchronization," Phys. Rev. Lett. 76, 1232-1235.
13. Parlitz, U., Junge, L. & Kocarev. L. [1996] "Synchronization based parameter estimation for time series," Phys. Rev. Lett. 54, 6523-6529.
14. Pecora, L. M. & Carroll, T. L. [1990] "Synchronization control of stochastic delayed neural network," Phys. Rev. Lett. 64, 821-824.
15. Pecora, L. M. & Carroll, T. L. [1991] "Driving systems with chaotic signals," Phys. Lett. A 44, 2374-2383.
16. Tao, C. Zhang, Y., Du, G. H. & Jiang, J. J. [2004] "Estimating model parameters by chaos synchronization," Phys. Rev. E 69, 036204.
17. Xu, D. L. & Lu, F. F. [2005] "An approach of parameter estimation for non-synchronous systems," Chaos Solit. Fract. 25, 361-366.
18. Zhang, Y., Tao, C. & Jiang, J. J. |2006] "Theoretial and experimental studies of parameter estimation based on chaos feedback synchronization," Chaos 16, 043122.
19. Zhou, C. S. & Lai, C. H. [2000] "Analysis of spurious synchronization with positive conditional Lyapunov exponents in computer simulations," Physica D 135, 1-23.