Robust gain-scheduled control of switched-mode DC-DC converters

IEEE Transactions on Power Electronics

Volumn 27, Issue 6, 2012, Pages 3006-3019

  Olalla, Carlos ^a,b   Leyva, Ramon ^a   Queinnec, Isabelle ^c,d   Maksimovic, Dragan ^b  

^a UNIVERSITAT ROVIRA I VIRGILI   (Spain)

^b University of Colorado at Boulder   (United States)

^c LAAS CNRS   (France)

^d UNIVERSITÉ PAUL SABATIER   (France)

Author keywords

DC DC converters; digital control; linear matrix inequalities. robust control; transient response

Indexed keywords

CONTROL APPROACH; CONVEX OPTIMIZATION ALGORITHMS; CURRENT MODE CONTROL; DC-DC BOOST CONVERTERS; DIGITAL CONTROL; EXCELLENT PERFORMANCE; GAIN-SCHEDULED CONTROL; GAIN-SCHEDULED CONTROLLERS; PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS; ROBUST CONTROL SYNTHESIS; STEADY STATE PERFORMANCE; SWITCHED DC-DC CONVERTER; SWITCHED-MODE; SYNTHESIS METHOD;

ALGORITHMS; CONVEX OPTIMIZATION; DIGITAL CONTROL SYSTEMS; DYNAMICS; LINEAR MATRIX INEQUALITIES; ROBUST CONTROL; TRANSIENT ANALYSIS;

DC-DC CONVERTERS;

EID: 84859098182     PISSN: 08858993     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPEL.2011.2178271     Document Type: Article

References (53)

1. R. D. Middlebrook and S. Cuk, "A general unified approach to modelling switching-converter power stages," Int. J. Electron., vol. 42, no. 6, pp. 521-550, 1977. (Pubitemid 8231189)
2. R. W. Erickson and D. Maksimovic, Fundamentals of Power Electronics, 2nd ed. ed. New York: Springer-Verlag, 2001.
3. R. Redl and N. O. Sokal, "Near-optimum dynamic regulation of DC-DC converters using feedforward and current-mode control," IEEE Trans. Power Electron., vol. PE-1, no. 3, pp. 181-192, Jul. 1986. (Pubitemid 16614268)
4. R. B. Ridley, "A new continuous-time model for current-mode control," IEEE Trans. Power Electron., vol. 6, no. 2, pp. 271-280, Apr. 1991.
5. D. Maksimovic, R. Zane, and R. Erickson, "Impact of digital control in power electronics," in Proc. Int. Symp. Power Semicond. Devices ICs, 2004, pp. 13-22.
6. S. Saggini, P. Mattavelli, M. Ghioni, and M. Redaelli, "Mixed-signal voltage-mode control for DC-DC converters with inherent analog derivative action," IEEE Trans. Power Electron., vol. 23, no. 3, pp. 1485-1493, May 2008. (Pubitemid 351756720)
7. J. A. Morales-Saldaña, J. Leyva-Ramos, E. E. Carbajal-Gutierrez, and M. G. Ortiz-Lopez, "Average current-mode control scheme for a quadratic buck converter with a single switch," IEEE Trans. Power Electron., vol. 23, no. 1, pp. 485-490, Jan. 2008.
8. A. Nami, F. Zare, A. Ghosh, and F. Blaabjerg, "Multi-output DC-DC converters based on diode-clamped converters configuration: Topology and control strategy," IET Power Electron., vol. 3, no. 2, pp. 197-208, 2009.
9. L. Corradini, E. Orietti, P. Mattavelli, and S. Saggini, "Digital hysteretic voltage-mode control for DC-DC converters based on asynchronous sampling," IEEE Trans. Power Electron., vol. 24, no. 1, pp. 201-211, Jan. 2009.
10. C. Olalla, R. Leyva, A. El Aroudi, and P. Garcés, "QFT robust control of current-mode converters: Application to power conditioning regulators," Int. J. Electron., vol. 96, no. 5, pp. 503-520, 2009.
11. E. Figueres, G. Garcera, J. M. Benavent, M. Pascual, and J. A. Martinez, "Adaptive two-loop voltage-mode control of DC-DC switching converters," IEEE Trans. Ind. Electron., vol. 53, no. 1, pp. 239-253, Feb. 2006. (Pubitemid 43245291)
12. C. Ye-Then and L. Yen-Shin, "Parameter tuning method for digital power converter with predictive current-mode control," IEEE Trans. Power Electron., vol. 24, no. 12, pp. 2910-2919, Dec. 2009.
13. A. G. Beccuti, S. Mariethoz, S. Cliquennois,W. Shu, andM.Morari, "Explicit model predictive control of DC-DC switched-mode power supplies with extended Kalman filtering," IEEE Trans. Ind. Electron., vol. 56, no. 6, pp. 1864-1874, Jun. 2009.
14. G. Chu, C. K. Tse,W. Siu Chung, and T. Siew-Chong, "A unified approach for the derivation of robust control for boost PFC converters," IEEE Trans. Power Electron., vol. 24, no. 11, pp. 2531-2544, Nov. 2009.
15. J. M. Carrasco, E. Galvan, G. E. Valderrama, R. Ortega, and A. M. Stankovic, "Analysis and experimentation of nonlinear adaptive controllers for the series resonant converter," IEEE Trans. Power Electron., vol. 15, no. 3, pp. 536-544, May 2000.
16. R. Leyva, C. Olalla, I. Queinnec, S. Tarbouriech, C. Alonso, and L. Martinez-Salamero, "Passivity-based control for large-signal stability of high-order switching converters," in Asian J. Control, 2011. DOI: http://dx.doi.org/10.1002/asjc.379.
17. F. Guang, E. Meyer, and L. Yan-Fei, "A new digital control algorithm to achieve optimal dynamic performance in DC-to-DC converters," IEEE Trans. Power Electron., vol. 22, no. 4, pp. 1489-1498, Jul. 2007. (Pubitemid 47098850)
18. L. Corradini, A. Babazadeh, A. Bjeletic, and D. Maksimovic, "Currentlimited time-optimal response in digitally controlled DC-DC converters," IEEE Trans. Power Electron., vol. 25, no. 11, pp. 2869-2880, Nov. 2010.
19. H. Sira-Ramirez, "Sliding motions in bilinear switched networks," IEEE Trans. Circuits Syst., vol. 34, no. 8, pp. 919-933, Aug. 1987. (Pubitemid 17651142)
20. P. Mattavelli, L. Rossetto, and G. Spiazzi, "Small-signal analysis of DC-DC converters with sliding mode control," IEEE Trans. Power Electron., vol. 12, no. 1, pp. 96-102, Jan. 1997. (Pubitemid 127770467)
21. R. Giral, L. Martinez-Salamero, R. Leyva, and J. Maixe, "Sliding-mode control of interleaved boost converters," IEEE Trans. Circuits Syst. I, vol. 47, no. 9, pp. 1330-1339, Sep. 2000. (Pubitemid 32032521)
22. T. Siew-Chong, Y. M. Lai, C. K. Tse, and M. K. H. Cheung, "Adaptive feedforward and feedback control schemes for sliding mode controlled power converters," IEEE Trans. Power Electron., vol. 21, no. 1, pp. 182-192, Jan. 2006. (Pubitemid 46395387)
23. A. Babazadeh and D. Maksimovic, "Hybrid digital adaptive control for fast transient response in synchronous buck DC-DC converters," IEEE Trans. Power Electron., vol. 24, no. 11, pp. 2625-2638, Nov. 2009.
24. C. F. Hsu, I. F. Chung, C. M. Lin, and C. Y. Hsu, "Self-regulating fuzzy control for forward DC-DC converters using an 8-bit microcontroller," IET Power Electron., vol. 2, no. 1, pp. 1-12, 2009.
25. A. Barkley and E. Santi, "Improved online identification of a DC-DC converter and its control loop gain using cross-correlationmethods," IEEE Trans. Power Electron., vol. 24, no. 8, pp. 2021-2031, Aug. 2009.
26. S. Saggini, A. Costabeber, and P. Mattavelli, "A simple digital autotuning for analog controller in SMPS," IEEE Trans. Power Electron., vol. 25, no. 8, pp. 2170-2178, Aug. 2010.
27. S. Hiti and D. Boroyevich, "Control of boost converter with adjustable output voltage and unknown resistive load," in Proc. IEEE Power Electron. Spec. Conf. (PESC), 1994, vol. 1, pp. 294-300.
28. C. Je-Hyung, S. Hyun-Wook, J. Shin-Myung, P. Jin-Sik, M. Gun-Woo, and Y. Myung-Joong, "Implementation of digitally controlled phase shift full bridge converter for server power supply," in Proc. Energy Convers. Congr. Expo. (ECCE), 2010, pp. 802-809.
29. M. A. Ebrahimzadeh and A. R. Rahmati, "Adaptive and fast-response controller for boost PFC converter with wide range of operating conditions," in Proc. Power Electron., Drive Syst. Technol. Conf., Tehran, Iran, Feb. 2010, pp. 157-162.
30. S. Jen-Ta, L. Chih-Wen, and L. De-Min, "Adaptive control scheme for interleaved DC-DC power converters," in Proc. Power Electron. Conf. (IPEC), Sapporo, Japan, Jun. 2010, pp. 3105-3111.
31. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, "Linear matrix inequalities in systems control theory," in Studies in Applied and Numerical Mathematics, vol. 15. Philadelphia, PA: SIAM, 1994.
32. M. Chilali and P.Gahinet, "H8 design with pole placement constraints:An LMI approach," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 358-367, Mar. 1996. (Pubitemid 126767888)
33. P. Gahinet and P. Apkarian, "A linear matrix inequality approach to H8 control," Int. J. Robust Nonlinear Control, vol. 4, no. 4, pp. 421-448, 1994.
34. S. Tarbouriech, G. Garcia, and A. H. Glattfelder, "Advanced strategies in control systems with input output constraints," in Lecture Notes in Control and Information Sciences, vol. 346. Berlin, Germany: Springer-Verlag, 2007.
35. P. Gahinet, A. Nemirovski, A. J. Laub, and M. Chilali, LMI Control Toolbox for Use With Matlab. Bangalore, India: The MathWorks, Inc., 1995.
36. J. Sturm, (1999), "Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones," Optimization Methods and Software,[Online]. vol. 11-12. pp. 625-653. Available: http://fewcal.kub.nl/ sturm.
37. J. Löfberg, "YALMIP: A toolbox for modeling and optimization in MATLAB," in Proc. CACSD Conf., Taipei, Taiwan, 2004, pp. 284-289, [Online]. Available: http://control.ee.ethz.ch/j~oloef/yalmip.php. (Pubitemid 40788529)
38. V. F. Montagner, R. C. L. F. Oliveira, V. J. S. Leite, and P. L. D. Peres, "LMI approach for H8 linear parameter-varying state feedback control," IEE Proc. Control Theory Appl., vol. 152, no. 2, pp. 195-201, 2005. (Pubitemid 40540351)
39. S. K. Mazumder and K. Acharya, "Multiple Lyapunov function based reaching condition for orbital existence of switching power converters," IEEE Trans. Power Electron., vol. 23, no. 3, pp. 1449-1471, May 2008. (Pubitemid 351756718)
40. C. A. Torres-Pinzon and R. Leyva, "Fuzzy control in DC-DC converters: An LMI approach," in Proc. IEEE Annu. Conf. Ind. Electron., Porto, Portugal, 2009, pp. 510-515.
41. C. Olalla, R. Leyva, A. El Aroudi, and I. Queinnec, "LMI robust control design for boost PWM converters," IET Power Electron., vol. 3, no. 1, pp. 75-85, 2010.
42. C. Olalla, R. Leyva, A. El Aroudi, and I. Queinnec, "Robust LQR control for PWM converters: An LMI approach," IEEE Trans. Ind. Electron., vol. 56, no. 7, pp. 2548-2558, Jul. 2009.
43. C. Olalla, I. Queinnec, R. Leyva, and A. El Aroudi, "Robust optimal control of bilinear dc-dc converters," Control Eng. Pract., vol. 19, no. 7, pp. 688-699, 2011.
44. T. Hu, "A nonlinear-system approach to analysis and design of powerelectronic converters with saturation and bilinear terms," IEEE Trans. Power Electron., vol. 26, no. 2, pp. 399-410, Feb. 2011.
45. POWERSIM. (2003). "PSIM 6.0," [Online]. Available: http://www. powersimtech.com
46. D. Maksimovic and R. Zane, "Small-signal discrete-timemodeling of digitally controlled pwm converters," IEEE Trans. Power Electron., vol. 22, no. 6, pp. 2552-2556, Nov. 2007. (Pubitemid 350154088)
47. V. F. Montagner, R. C. L. F. Oliveira, V. J. S. Leite, and P. L. D. Peres, "Gain scheduled state feedback control of discrete-time systems with time-varying uncertainties: An lmi approach," in Proc. IEEE Conf. Decis. Control Eur. Control Conf., Sevilla, Spain, 2005, pp. 4305-4310.
48. V. F. Montagner, R. C. L. Oliveira, P. L. D. Peres, S. Tarbouriech, and I. Queinnec, "Gain-scheduled controllers for linear parameter-varying systems with saturating actuators: LMI-based design," in Proc. Amer. Control Conf., New York, Jul. 2007, pp. 6067-6072.
49. G. F. Wallis and R. Tymerski, "Generalized approach for μ synthesis of robust switching regulators," IEEE Trans. Aerosp. Electron. Syst., vol. 36, no. 2, pp. 422-431, Apr. 2000.
50. T. B. Petrovic and A. Z. Rakic, "Linear robust control of dc/dc converters: Part I-Deterministic switching," Electr. Eng., vol. 87, pp. 57-68, 2004.
51. J. M. Biannic, "Commande robuste des systèmes a parametres variables" Ph.D. dissertation, Département Automatique (DERA), Centre d'études et de Recherche de Toulouse, France, 1996, (In french).
52. ECSS, Electrical and Electronic Standard: ECSS-E20A. European Cooperation for Space Standardization, 2004.
53. H. Coxeter, Introduction to Geometry, 2nd ed. New York: Wiley, 1969.