Adaptive control for linearizable chaotic systems

JVC/Journal of Vibration and Control

Volumn 12, Issue 2, 2006, Pages 119-137

  Bowong, S ^a   Kagou, A Temgoua ^a  

^a UNIVERSITY OF DOUALA   (Cameroon)

Author keywords

Chaos control; Chaos synchronization; Chaotic systems; Observers

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; COMPUTER SIMULATION; FEEDBACK CONTROL; LINEAR SYSTEMS; LINEARIZATION; ROBUSTNESS (CONTROL SYSTEMS); SYNCHRONIZATION;

CHAOS SYNCHRONIZATION; CHAOTIC SYSTEMS; OBSERVERS;

CONTROL EQUIPMENT;

EID: 32944471471     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/1077546306059318     Document Type: Article

References (26)

1. Awrejcewich, J. and Lamarque, C. H., 2003, Bifurcation and Chaos in Non-smooth Mechanical Systems, World Scientific, Singapore.
2. Awrejcewich, J., Tomczak, K., and Lamarque, C. H., 1999, "Controlling systems with impacts," International Journal of Bifurcation and Chaos 9, 547-553.
3. Bocalleti, S., Grebogi, C., Lai, Y-C., Maricini, H., and Maza, D., 2000, "The control of chaos: Theory and application," Physical Reports 329, 103-197.
4. Brocket, R. W., 1978, "Feedback invariants for nonlinear systems," in Proceedings of the IFAC World Congress, Helsinki, Finland, pp. 1115-1120.
5. Castro, R., Alvarez, J., and Alvarez, J., 1990, "Nonlinear disturbance decoupling control of a binary distillation column," Automatica 26, 567-572.
6. Chua, L. O., Yang, T., Zhong, G. Q., and Wu, C. W., 1996, "Adaptive synchronization of Chua oscillator," International Journal of Bifurcation and Chaos 6, 455-462.
7. Di Bernado, M., 1996, "An adaptive approach to the control and synchronization of continuous-time systems," International Journal of Bifurcation and Chaos 6, 557-568.
8. Doyle, F. J. III, Packard, A. K., and Morari, M., 1989, "Robust controller design for a nonlinear CSTR," Chemical Engineering Science 44, 192-1947.
9. Feki, M., 2003, "An adaptive feedback control of linearizable chaotic systems," Chaos, Solitons and Fractals 15, 883-890.
10. Femat, R., Alvarez-Ramirez, J., Castillo-Toledo, B., and Gonzalez, J., 1999, "On robust chaos suppression in a class of non-driven oscillators: Application to Chua's circuit," IEEE Transactions on Circuits and Systems: Fundamental Theory and Applications 46, 1150-1152.
11. Henson, M. and Seborg, D. E., 1991, "Critique of exact linearization strategies for process control," Journal of Process Control 1, 122-139.
12. Hunt, L. R., Su, R., and Meyer, G., 1983, "Global transformation of nonlinear systems," in Differential Geometric Control Theory, R. W. Brocket, R. S. Millman, and H. J. Sussman, eds., Birkhauser, Boston.
13. Isidori, A., 1995, Nonlinear Control Systems, Springer-Verlag, Berlin.
14. Jiang, Z. P. and Praly, L., 1998, "Design of robust adaptive controllers for nonlinear systems with dynamics uncertainties," Automatica 34, 825-832.
15. Kapitaniak, T., 1996, Controlling Chaos, Academic Press, London.
16. Khalil, H. K., 1995, Nonlinear Systems, 3rd edition, Springer-Verlag, Berlin.
17. Kravaris, C. and Palanki, S., 1988, "Robust nonlinear state feedback under structured uncertainty," A.I.Ch.E. Journal 47, 1119-1127.
18. Lévine, J. and Rouchon, P., 1991, "Quality control of binary distillation columns via nonlinear aggregated models," Automatica 27, 463-480.
19. Liao, T-L., Fu, L-Ch., and Hsu, Ch-F., 1992, "Output tracking control of nonlinear uncertain systems with mismatched uncertainties," Systems Control Letters 18, 39-47.
20. Marino, R. and Tomei, P., 1995, Nonlinear Control Design: Geometric, Adaptive and Robust, Prentice-Hall, Englewood Cliffs, NJ.
21. Moukam, F., Bowong, S., and Tchawoua, C., 2001, "Exponential stabilization of two coupled nonlinearly oscillators by an estimated state feedback," Physica Scripta 6, 1-7.
22. Moukam, F., Bowong, S., Tchawoua, C., and Kaptouom, E., 2004, "Chaos control and synchronization of a 6-Van der Pol oscillator," Physics Letters A 322, 305-323.
23. Nijmeijer, H. and Berghuis, H., 1995, "On Lyapunov control of the Duffing equation," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 42, 473-482.
24. Ott, E., Grebogi, C., and Yorke, J. A., 1990, "Controlling chaos," Physical Review Letters 65, 1196-1199.
25. Susmann, H. J., and Kokotovic, P. V., 1991, "The peaking phenomenon and the global stabilization of nonlinear systems," IEEE Transactions on Automatic and Control 36, 461-476.
26. Yalçn, M. E., Suykens, J. A., and Vanderwalle, J., 2000, "Experimental confirmation of 3 and 5 scroll attractors from generalized Chua's circuit," IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 47 (3). 425-429.