Bilinear discrete-time modeling for enhanced stability prediction and digital control design

IEEE Transactions on Power Electronics

Volumn 18, Issue 1 II, 2003, Pages 381-389

  Rajasekaran, Vinod ^a   Sun, Jian ^b   Heck, Bonnie S ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Bilinear systems; Digital control; Discrete time modeling; PWM converters

Indexed keywords

APPROXIMATION THEORY; CONTROL SYSTEM SYNTHESIS; DIGITAL CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; POWER CONTROL; POWER INTEGRATED CIRCUITS; SWITCHING CIRCUITS; SYSTEM STABILITY;

BILINEAR SYSTEM; DIGITAL CONTROL DESIGN;

POWER CONVERTERS;

EID: 0344520311     PISSN: 08858993     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPEL.2002.807167     Document Type: Article

References (16)

1. "Digital PWM controller and current estimator for a low-power switching converter," A. Prodic and D. Maksimovic, in Proc. Comput. Power Electron., 2000, pp. 123-128.
2. J. Xiao, A. V. Peterchev, and S. R. Sanders, "Architecture and IC implementation of a digital VRM controller," in Proc. IEEE Power Electron. Spec. Conf., 2001.
3. S. K. Mazumder, A. H. Nayfeh, and D. Borojevic, "Theoretical and experimental investigation of the fast and slow-scale instabilities of a dc-dc converter," IEEE Trans. Power Electron., vol. 16, pp. 201-216, Mar. 2001.
4. D. Maksimovic, "Sub-harmonic oscillations in converters with current-mode programming under large parameter variations," in Proc. IEEE Power Electron. Spec. Conf., 1997, pp. 1323-1329.
5. R. M. Bass and B. Lehman, "Switching frequency dependent averaged models for PWM dc-dc converters," IEEE Trans. Power Electronics, vol. 11, pp. 89-98, Mar. 1996.
6. J. Tokarzewski and L. Sokalski, "A procedure for discretization of continuous-time controllers," in Proc. IEEE Symp. Ind. Electron., 1997, pp. 910-915.
7. G. C. Verghese, M. E. Elbuluk, and J. G. Kassakian, "A general approach to sampled-data modeling for power electronic circuits," IEEE Trans. Power Electron., vol. 1, pp. 76-89, Apr. 1986.
8. M. E. Elbuluk, G. C. Verghese, and J. G. Kassakian, "Sampled-data modeling and digital control of resonant converter," IEEE Trans. Power Electron., vol. 3, pp. 344-354, July 1988.
9. M. di Bernardo and F. Vasca, "Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters," IEEE Trans. Circuits Syst. I, vol. 47, pp. 130-143, Feb. 2000.
10. J. H. B. Deane and D. C. Hamill, "Analysis, simulation and experimental study of chaos in the buck converter," in Proc. IEEE Power Electron. Spec. Conf., 1990, pp. 491-498.
11. A. Khayatian and D. G. Taylor, "Multi-rate modeling and control design for switched-mode power converters," IEEE Trans. Automat. Control, vol. 39, pp. 1848-1852, Sept. 1994.
12. M. S. Al-Numay and D. G. Taylor, "One-cycle-averaging for digital PWM control system design," in Proc. Amer. Contr. Conf., 2000, pp. 1057-1061.
13. M. Ilic, S. Laeb, and K. Liebezeit, "Exact nonlinear analysis of switch mode power converters," in Proc. IEEE Power Electron. Spec. Conf., 1988, pp. 977-986.
14. J. Sun, B. Heck, and B. Lehman, "Continuous approximation and the stability of averaging," in Proc. Comput. Power Electron., 2000, pp. 139-144.
15. "SABER Designer Reference," Tech. Rep., Analogy, Inc., Beaverton, OR, 1998.
16. H. K. Khalil, Nonlinear Systems, 2nd ed. Englewood Cliffs, NJ: Prentice Hall, 1996.