Adaptive control of the uncertain Duffing oscillator

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 7, Issue 7, 1997, Pages 1651-1658

  Dong, Xiaoning ^a   Chen, Guanrong ^a   Chen, Liang ^a  

^a UNIVERSITY OF HOUSTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21944448982     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127497001278     Document Type: Article

References (20)

1. Brandt, M. E., Ademoglu, A., Lai, D. & Chen, G. [1996] "Auto-regressive self-tuning feedback control of a noisy Hénon map," Phys. Rev. E54, 6201-6206.
2. Chen, G. [1996] "Control and synchronization of chaotic systems (a bibliography)," ECE Dept, Univ of Houston, TX - available from ftp: "ftp.egr.uh.edu/pub/TeX/chaos.tex" (login name "anonymous" and password: your email address).
3. Chen, G., Chen, G. & de Figueiredo, R. J. P. [1997] "Estimation and control of chaotic dynamical systems using time series data," preprint.
4. Chen, G. & Dong, X. [1993] "From chaos to order - perspectives and methodologies in controlling nonlinear dynamical systems," Int. J. Bifurcation and Chaos 3, 1363-1409.
5. Chen, G. & Dong, X. [1997] From Chaos to Order: Perspectives, Methodologies, and Applications (World Scientific Pub., Singapore).
6. di Bernardo, M. [1996] "An adaptive approach to the control and synchronization of continuous-time chaotic systems," Int. J. Bifurcation and Chaos 6, 557-568.
7. Fradkov, A. L. & Pogromsky, A. Yu. [1997] "Speed gradient control of chaotic continuous-time systems," IEEE Trans. Circuits Syst. 43, 907-913.
8. González, G. A., Troparevsky, M. & D'Attellis, C. E. [1994] "A remark on chaotic behavior in adaptive control systems," IEEE Trans. Auto. Contr. 39, 2145-2148.
9. Golden, M. P. & Ydstie, B. E. [1992] "Small amplitude chaos and ergodicity in adaptive control," Automatica 28, 11-25.
10. González, G. A. [1994] "Controlling chaos of an uncertain Lozi system via adaptive techniques," Int. J. Bifurcation and Chaos 5, 559-562.
11. Guzenko, P. Yu. & Fradkov, A. L. [1997] "Gradient control of Hénon map dynamics," Int. J. Bifurcation and Chaos 7, 701-705.
12. Hübler, A. W. [1989] "Adaptive control of chaotic systems," Helvetica Physica Acta 62, 343-346.
13. Khalil, H. K. [1996] Nonlinear Systems, 3rd Edition (Prentice-Hall, Englewood Cliffs, NJ).
14. Mareels, I. M. Y. & Bitmead, R. R. [1988] "Nonlinear dynamics in adaptive control: Periodic and chaotic stabilization II - Analysis," Automatica 24, 485-497.
15. Nijmeijer, H. & Berghuis, H. [1995] "On Lyapunov control of the Duffing equation," IEEE Trans. Circuits Syst. 42, 473-477.
16. Ott, E., Grebogi, C. & Yorke, J. A. [1990] "Controlling chaos," Phys. Rev. Lett. 64, 1196-1199.
17. Petrov, V., Crowley, M. F. & Showalter, K. [1994] "An adaptive control algorithm for tracking unstable periodic orbits," Int. J. Bifurcation and Chaos 4, 1311-1317.
18. Qammar, H. K. & Mossayebi, F. [1994] "System identification and model-based control of a chaotic system," Int. J. Bifurcation and Chaos 4, 843-851.
19. Rey, G. J., Bitmead, R. R. & Johnson, C. R. [1994] "Qualitative classification of the dynamics of a class of adaptive feedback systems," IEEE Trans. Circuits Syst. I 41, 529-538.
20. Ydstie, B. E. & Golden, M. P. [1987] "Chaos and strange attractors in adaptive control systems," Proc. IFAC World Congress, Munich, 10, 127-132.