Observer-based approach for controlling chaotic systems

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 2, 1998, Pages 1604-1610

  Liao, Teh Lu ^a  

^a NATIONAL CHENG KUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; COMPUTER SIMULATION; CONTROL SYSTEMS; ESTIMATION; FEEDBACK CONTROL; NONLINEAR SYSTEMS; NUMERICAL ANALYSIS; SYNCHRONIZATION; SYSTEM STABILITY;

CLOSED LOOP SYSTEM; CONTROL STRATEGY; LORENZ CHAOS; ROSSLER CHAOS;

DYNAMICS;

EID: 0032000274     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.1604     Document Type: Article

References (23)

1. E. Ott, C. Grebogi, and J. A. Yorke, Phys. Rev. Lett. 64, 1196 (1990)
2. Coping with Chaos: Analysis of Chaotic Data and the Exploitation of Chaotic Systems, edited by E. Ott, T. Sauer, and J. A. Yorke (Wiley, New York, 1994).
3. T. Shinbrot, C. Grebogi, E. Ott, and J. A. Yorke, Nature (London) 363, 411 (1993)
4. K. Pyragas, Phys. Lett. A 170, 421 (1990)
5. U. Dressler and G. Nitsche, Phys. Rev. Lett. 68, 1 (1992)
6. J. Tang and H. Bau, Phys. Rev. Lett. 70, 1795 (1993)
7. M. de Sousa Vieira, A. J. Lichtenberg, and M. A. Lieberman, Phys. Rev. A 46, 7359 (1992)
8. A. W. Hubler, Ph.D. dissertation, Technical University of Munich, 1987.
9. E. A. Jackson, Phys. Lett. A 151, 478 (1990)
10. G. Chen and X. Dong, IEEE Trans. Circuits Syst. 40, 591 (1993).
11. G. Chen and X. Dong, J. Circuits Syst. Computers 3, 139 (1993).
12. X. Yu, Int. J. Syst. Sci. 27, 355 (1996).
13. J. Alvarez-Ramirez, R. Femat, and J. Gonzalez, Phys. Lett. A 211, 41 (1996)
14. Y. H. Chen and M. Y. Chou, Phys. Rev. E 50, 2331 (1994).
15. X. Yu, Int. J. Syst. Sci. 27, 355 (1996).
16. D. Xu and S. R. Bishop, Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, 1741 (1995).
17. H. Nijmeijer and I. Mareels, IEEE Trans. Circuits Syst. 44, 882 (1997).
18. R. He and P. Vaidya, Phys. Rev. E 46, 3787 (1992).
19. B. L. Walcott, M. J. Corless, and S. H. Zak, Int. J. Control 45, 2109 (1987).
20. X. H. Xia and W. B. Gao, Syst. Control Lett. 11, 319 (1988).
21. M. Vidyasagar, Nonlinear Systems Analysis, 2nd ed. (Prentice-Hall, Englewood Cliffs, NJ, 1993).
22. T. Kailath, Linear Systems (Prentice-Hall, Englewood Cliffs, NJ, 1980).
23. B. C. Kuo, Automatic Control Systems (Prentice-Hall, Englewood Cliffs, NJ, 1991).