Applying resonant parametric perturbation to control chaos in the buck dc/dc converter with phase shift and frequency mismatch considerations

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 13, Issue 11, 2003, Pages 3459-3471

  Zhou, Yufei ^a,c   Tse, Chi K ^a   Qiu, Shui Sheng ^b   Lau, Francis C M ^a  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^c ANHUI UNIVERSITY   (China)

Author keywords

Chaos control; dc dc converter; Frequency mismatch; Phase shift; Resonant parametric perturbation

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; BIFURCATION (MATHEMATICS); COMPUTER SIMULATION; FEEDBACK; LYAPUNOV METHODS; ORBITS; PERTURBATION TECHNIQUES; PHASE SHIFT; POWER CONTROL;

CHAOS CONTROL; DC/DC CONVERTERS; FREQUENCY MISMATCH; RESONANT PARAMETRIC PERTURBATIONS;

CHAOS THEORY;

EID: 1442335930     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403008685     Document Type: Article

References (26)

1. Banerjee, S. [1997] "Coexisting attractors, chaotic saddles, and fractal basins in a power electronic circuit," IEEE Trans. Circuits Syst. -I 44, 847-849.
2. Braiman, Y. & Goldhirsch, I. [1991] "Taming chaotic dynamics with weak periodic perturbations," Phys. Rev. Lett. 66, 2545-2548.
3. Chacón, R. & Díaz Bejarano, J. [1993] "Routes to suppressing chaos by weak periodic perturbations," Phys. Rev. Lett. 71, 3103-3106.
4. Cicogna, G. [1990] "Changing the threshold of chaos by resonant parametric modulation," Nuovo Cim. 105B, 813-815.
5. Colet, P. & Braiman, Y. [1996] "Control of chaos in multimode solid state lasers by the use of small periodic perturbations," Phys. Rev. E53, 200-206.
6. Di Bernardo, M. & Vasca, F. [2000] "Discrete-time maps for the analysis of bifurcations and chaos in dc/dc converters," IEEE Trans. Circuits Syst.-I 47, 130-143.
7. Di Bernardo, M., Budd, C. J. & Champneys, A. R. [2001] "Corner collision implies border-collision bifurcation," Physica D154, 171-194.
8. Fossas, E. & Olivar, G. [1996] "Study of chaos in the buck converter," IEEE Trans. Circuits Syst.-I 43, 13-25.
9. Fronzoni, L. & Giocondo, M. [1991] "Experimental evidence of suppression of chaos by resonant parametric perturbations," Phys. Rev. E43, 6483-6487.
10. Fronzoni, L. & Giocondo, M. [1998] "Controlling chaos with parametric perturbations," Int. J. Bifurcation and Chaos 8, 1693-1698.
11. Hamill, D. C., Deane, J. H. B. & Jefferies, D. J. [1991] "Modeling of chaotic dc-dc converters by iterated nonlinear mappings, " IEEE Trans. Power Electron. 7, 25-36.
12. Huberman, B. A. & Lumer, E. [1990] "Dynamics of adaptive systems," IEEE Trans. Circuits Syst.-I 37, 547-550.
13. Hunt, E. R. [1991] "Stabilizing high-period orbits in a chaotic system: The diode resonator," Phys. Rev. Lett. 67, 1953-1955.
14. Iu, H. H. C. & Tse, C. K. [2001] "Bifurcation behavior in parallel-connected buck converters," IEEE Trans. Circuits Syst.-I 48, 233-240.
15. Jackson, E. A. [1990] "The entrainment and migration controls of multiple-attractor system," Phys. Lett. A151, 478-484.
16. Kapitaniak, T. [1996] Controlling Chaos (Academic Press, London).
17. Kim, J. H. & Stringer, J. [1992] Applied Chaos (Wiley-Interscience, NY).
18. Lima, R. & Pettini, M. [1990] "Suppression of chaos by resonant parametric perturbations," Phys. Rev. A41, 726-733.
19. Mirus, K. A. & Sprott, J. C. [1999] "Controlling chaos in a high dimensional system with periodic parametric perturbations," Phys. Lett. A254, 275-278.
20. Ott, E., Grebogi, C. & Yorke, J. A. [1990] "Controlling chaos," Phys. Rev. Lett. 64, 1196-1199.
21. Ott, E. & Spano, M. [1995] "Controlling chaos," Phys. Today 34, 34-40.
22. Pyragas, K. [1992] "Continuous control of chaos by self-controlling feedback," Phys. Lett. A170, 421-428.
23. Qu, Z., Hu, G., Yang, G. & Qin, G. [1995] "Phase effect in taming nonautonomous chaos by weak harmonic perturbations," Phys. Rev. Lett. 74, 1736-1739.
24. Tse, C. K. [1994] "Chaos from a buck switching regulator operating in discontinuous conduction mode," Int. J. Circuit Th. Appl. 22, 263-278.
25. Tse, C. K. & Di Bernardo, M. [2002] "Complex behavior of switching power converters," Proc. IEEE 90, 768-781.
26. Yang, J., Qu, Z. & Hu, G. [1996] "Duffing equation with two periodic forcings: The phase effect," Phys. Rev. E53, 4402-4413.