A nonlinear-system approach to analysis and design of power-electronic converters with saturation and bilinear terms

IEEE Transactions on Power Electronics

Volumn 26, Issue 2, 2011, Pages 399-410

  Hu, Tingshu ^a  

^a University of Massachusetts   (United States)

Author keywords

Bilinear system; linear matrix inequality (LMI); power electronic converters; saturation; stability; tracking

Indexed keywords

BILINEAR SYSTEM; LINEAR-MATRIX INEQUALITY (LMI); POWER-ELECTRONIC CONVERTERS; SATURATION; TRACKING;

DC POWER TRANSMISSION; DESIGN; DIFFERENTIAL EQUATIONS; ELECTRIC CONVERTERS; FEEDBACK; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; NONLINEAR ANALYSIS; OPTIMIZATION; PIECEWISE LINEAR TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); STATE FEEDBACK; SYSTEM STABILITY;

DC-DC CONVERTERS;

EID: 79951536036     PISSN: 08858993     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPEL.2010.2054115     Document Type: Article

References (31)

1. D. R. Anderson andW. H. Cantrell, "High-efficiency high-levelmodulator for use in dynamic envelope tracking CDMA RF power amplifiers,". (2001). IEEE MTT-S Int. Microw. Symp. D (Pubitemid 34078302)
2. S. Banerjee and G. C. Verghese, Nonlinear Phenomena in Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear Control. Piscataway, NJ: IEEE Press, 2001.
3. L. Benadero, R. Giral, A. E. Aroudi, and J. Calvente, "Stability analysis of a single inductor dual switching dcdc converter," Math. Comput. Simul., vol. 71, no. 4-6, pp. 256-269, Jun. 2006. (Pubitemid 43782893)
4. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory (Studies in Applied Mathematics). Philadelphia, PA: SIAM, 1994.
5. D. Dai, T. Hu, A. R. Teel, and L. Zaccarian, "Piecewise-quadratic Lyapunov functions for systems with deadzones or saturations," Syst. Control Lett., vol. 58, no. 5, pp. 365-371, May 2009.
6. A. Emadi, A. Khaligh, C. H. Rivetta, and G. A. Williamson, "Constant power loads and negative impedance instability in automotive systems: definition, modeling, stability, and control of power electronic converters and motor drives," IEEE Trans. Veh. Technol., vol. 55, no. 4, pp. 1112-1125, Jul. 2006. (Pubitemid 44111410)
7. R. W. Erickson and D. Maksimovic, Fundamentals of Power Electronics, 2nd ed. New York: Springer-Verlag, 2001.
8. G. Escobar, R. Ortega, H. Sira-Ramirez, J.-P. Vilain, and I. Zein, "An experimental comparison of several nonlinear controllers forpower converters," IEEE Control Syst. Mag., vol. 19, no. 1, pp. 66-82, Feb. 1999.
9. A. Fradkov, J. Alvarez, and D. Cortes, "Tracking control of the boost converter," Inst. Electr. Eng. Proc.: Control Theory Appl., vol. 151, no. 2, pp. 218-224, 2004.
10. T. Geyer, G. Papafotiou, andM.Morari, "Hybrid model predictive control of the step-down DCDC converter," IEEE Trans. Control Syst. Technol., vol. 16, no. 6, pp. 1112-1124, Sep. 2008.
11. Y. V. Hote, D. R. Choudhury, and J. R. P. Gupta, "Robust stability analysis of the PWM push-pull DCDC converter," IEEE Trans. Power Electron., vol. 24, no. 10, pp. 2353-2357, Oct. 2009.
12. T. Hu and Z. Lin, Control Systems with Actuator Saturation: Analysis and Design. Boston, MA: Birkhäuser, 2001.
13. T. Hu, A. R. Teel, and L. Zaccarian, "Stability and performance for saturated systems via quadratic and non-quadratic Lyapunov functions," IEEE Trans. Automat. Control, vol. 51, no. 11, pp. 1770-1786, Nov. 2006. (Pubitemid 44824362)
14. S. Huang and J. Lam, "Control of uncertain bilinear systems using linear controllers: Stability region estimation and controller design," in Proc. IEEE Conf. Decis. Contr., 2001, pp. 662-667.
15. B. Loop, "Estimating regions of asymptotic stability of nonlinear systems with applications to power electronics systems," Ph.D. dissertation, Purdue Univ., West Lafayette, IN, 2005.
16. G. Lu, G. Feng, and Z.-P. Jiang, "Saturated feedback stabilization of discrete-time descriptor bilinear systems," IEEE Trans. Automat. Control, vol. 52, no. 9, pp. 1700-1704, Sep. 2007. (Pubitemid 47456082)
17. M. Johansson and A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid systems," IEEE Trans. Automat. Contr., vol. 43, no. 4, pp. 555-559, Apr. 1998. (Pubitemid 128737378)
18. D. Maksimovic, A. M. Stankovic, V. J. Thottuvelil, and G. C. Verghese, "Modeling and simulation of power electronic converters," Proc. IEEE, vol. 89, no. 6, pp. 898-912, Jun. 2001. (Pubitemid 33766601)
19. V. Mahout, S. Tarbouriech, and G. Garcia, "Controller design for unstable uncertain bilinear systems," presented at the 10th Mediterr. Conf. Control Autom., Lisbon, Portugal, 2002.
20. P. Midya, K. Haddad, and M. Miller, "Buck or boost tracking power converter," IEEE Power Electron. Letts., vol. 2, no. 4, pp. 131-134, Dec. 2004. (Pubitemid 40086141)
21. R. D. Middlebrook, "A general unified approach to modeling switchingconverter power stages," Int. J. Electron., vol. 42, pp. 521-550, 1977. (Pubitemid 8231189)
22. R. D. Middlebrook, "A general unified approach to modeling switchingconverter power stages," in Proc. IEEE Power Electron. Spec. Conf., 1976, pp. 18-34.
23. R. D. Middlebrook, "Small-signal modeling of pulse-width modulated switched-mode power converters," Proc. IEEE, vol. 76, no. 4, pp. 343-354, Apr. 1988.
24. L. Palma, M. Harfman-Todorovic, P. Enjeti, and S. Choi, "Analysis of dc-dc converter stability in fuel cell powered portable electronic systems," in Proc. 37th IEEE Power Electron. Spec. Conf., Jun. 2006, pp. 1-6.
25. V. Rajasekaran, S. Jian, and B. S. Heck, "Bilinear discrete-time modeling for enhanced stability prediction and digital control design," IEEE Trans. Power Electron., vol. 18, no. 1, pp. 381-389, Jan. 2003.
26. H. Rodriguez, R. Ortega,G. Escobar, andN.Barabanov, "Arobustly stable output feedback saturated controller for the boost DC-to-DC converter," Syst. Control Lett., vol. 40, no. 1, pp. 1-8, 2000.
27. S. R. Sanders and G. C. Verghese, "Lyapunov-based control for switched power converters," IEEE Trans. Power Electron., vol. 7, no. 1, pp. 17-24, Jan. 1992.
28. H. Sira-Ramirez and M. T. Prada-Rizzo, "Nonlinear feedback regulator design for the Cuk converter," IEEE Trans. Automat. Control, vol. 37, no. 8, pp. 1173-1180, Aug. 1992.
29. C. J. Sullivan, S. D. Sudhoff, E. L. Zivi, and S. H. Zak, "Methods of optimal Lyapunov function generation with application to power electronic converters and systems," in Proc. IEEE Electr. Ship Technol. Symp. (ESTS), May 2007, pp. 267-274. (Pubitemid 47447656)
30. S.-C. Tan, Y. M. Lai, C. K. Tse, L. Martinez-Salamero, and C.-K. Wu, "A fast-response sliding-mode controller for boost-type converters with a wide range of operating conditions," IEEE Trans. Ind. Electron., vol. 54, no. 6, pp. 3276-3286, Dec. 2007.
31. C. K. Tse and M. Di Bernardo, "Complex behavior in switching power converters," Proc. IEEE, vol. 90, no. 5, pp. 768-781, May 2002. (Pubitemid 43779271)