A discrete approach to the control and synchronization of a class of chaotic oscillators

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 46, Issue 9, 1999, Pages 1139-1144

  Gonzalez, Jesus ^a   Femat, Ricardo ^b   Alvarez Ramirez, Jose ^c   Aguilar, Ricardo ^a   Barron, Miguel ^a  

^a UNIVERSIDAD AUTÓNOMA METROPOLITANA AZCAPOTZALCO   (Mexico)

^b UNIVERSIDAD AUTÓNOMA DE SAN LUIS POTOSÍ   (Mexico)

^c DEPARTAMENTO DE QUÍMICA   (Mexico)

Author keywords

Chaos; Control systems; Synchronization

Indexed keywords

CHAOTIC OSCILLATORS;

CHAOS THEORY; COMPUTER SIMULATION; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; ITERATIVE METHODS; MATHEMATICAL MODELS; STATE ESTIMATION; SYNCHRONIZATION;

OSCILLATORS (ELECTRONIC);

EID: 0033338789     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.788816     Document Type: Article

References (17)

1. H. Bai-Lin, Chaos II. Singapore: World Scientific, 1990.
2. H. G. Schuster, Deterministic Chaos. Germany: VCH, 1989.
3. H. Nijmeyer and H. Berghuis, "On Lyapunov control of the Duffing equation," IEEE Trans. Circuits Syst., vol. 42, p. 473, Aug. 1995.
4. C. W. Wu, T. Yang, and L. O. Chua, "On adaptive synchronization and control of nonlinear dynamical systems," Int. J. Bifurcation Chaos, vol. 6, p. 455, 1996.
5. M. di Bernardo, "An adaptive approach to the control and synchronization of continuous-time systems," Int. J. Bifurcation Chaos, vol. 6, p. 557, 1996.
6. J. Alvarez-Ramirez, R. Femat, and J. Gonzalez, "A time delay coordinates strategy to control a class of chaotic oscillators," Phys. Lett. A, vol. 211, p. 41, 1996.
7. E. Ott, C. Grebogi, and J. A. Yorke, "Controlling chaos," Phys. Rev. Lett., vol. 64, p. 1196, 1990.
8. R. Femat, J. Alvarez-Ramirez, and J. Gonzalez, "A strategy to control chaos in nonlinear driven oscillators with least prior knowledge," Phys. Lett. A, vol. 224, p. 271, 1997.
9. G. Perez and H. Cedeira, "Extracting masked messages by chaos," Phys. Rev. Lett., vol. 74, p. 1970, 1995.
10. K. J. Astrom and B. Witterjmark, Adaptive Control. Reading, MA: Addison Wesley, 1989.
11. L. Karsenti, F. Lamnabhi-Lagarrigue, and G. Bastin, "Adaptive control of nonlinear systems with nonlinear parametrization," Syst. Control Lett., vol. 27, p. 87, 1996.
12. J. D. Boscovic, "Stable adaptive control of a class of first order nonlinearly-parametrized plants," IEEE Trans. Circuits Syst., vol. 40, p. 347, July 1995.
13. R. Ortega, "Some remarks on adaptive neuro-fuzzy systems," Int. J. Adaptive Contr. Signal Processing, vol. 10, p. 79, 1996.
14. M. Ostojic, "Numerical approach to nonlinear control design," Trans. ASME, vol. 118, p. 332, 1996.
15. R. Femat, "A control scheme for the motion of a magnet supported by type-II superconductor," Physica D, to appear.
16. D. Kincaid and W. Cheney, Numerical Analysis: Mathematics of Scientific Computing. Boston, MA: Brooks/Cole, 1991.
17. S. Nakamura, Numerical Analysis and Graphic Visualization with MATLAB. Englewood Cliffs, NJ: Prentice-Hall, 1995.