Proximate time-optimal digital control for synchronous buck DC-DC converters

IEEE Transactions on Power Electronics

Volumn 23, Issue 4, 2008, Pages 2018-2026

  Yousefzadeh, Valid ^a   Babazadeh, Amir ^b   Ramachandran, Bhaskar ^c   Alarcón, Eduard ^d   Pao, Lucy ^b   Maksimović, Dragan ^b  

^a TEXAS INSTRUMENTS   (United States)

^b UNIVERSITY OF COLORADO   (United States)

^c NATIONAL SEMICONDUCTOR CORPORATION   (United States)

^d UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Boundary control; DC DC converters; Digital control; Index Terms; Switching surface control; Time optimal control

Indexed keywords

CONTROL SYSTEM STABILITY; COUNTING CIRCUITS; DC-DC CONVERTERS; DIGITAL ARITHMETIC; DIGITAL CONTROL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC CURRENTS; ENERGY STORAGE; MODULATION; POWER CONVERTERS; PROPORTIONAL CONTROL SYSTEMS; PULSE MODULATION; STANDARDS;

CURRENT ESTIMATOR; CURRENT SENSING; DC CONVERTERS; DIGITAL CONTROLS; HYBRID CAPACITORS; NONLINEAR SWITCHING; PULSE WIDTH MODULATION (QUADPWM); PWM CONTROLLERS; REFERENCE POINT (RP); SMOOTH TRANSITION (STR); STEADY STATES; SWITCHING SURFACES; SYNCHRONOUS BUCK CONVERTERS; TIME-OPTIMAL; VERILOG HDL;

PULSE WIDTH MODULATION;

EID: 47249133827     PISSN: 08858993     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPEL.2008.924843     Document Type: Article

References (40)

1. R. D. Middlebrook and S. Cuk, "A general unified approach to modeling switching-converter power stages," Int. J. Electron., vol. 42, no. 6, pp. 521-550, Jun. 1977.
2. R. W. Erickson and D. Maksimović, Fundamentals of Power Electronics. New York: Springer, 2000.
3. W. Burns and T. Wilson, "Analytic derivation and evaluation of a state-trajectory control law for dc-dc converters," Proc. IEEE PESC pp. 70-85, 1977.
4. P. T. Krein, Elements of Power Electronics. Oxford, U.K.: Oxford Univ. Press, 1998.
5. B. Jammes, J. C. Marpinard, and L. Martinez-Salamero, "Large-signal control of a buck converter based on time optimal control," in Proc. ECCTD, 1993, pp. 1419-1422.
6. D. Biel, L. Martinez, J. Tenor, B. James, and J. C. Marpinard, "Optimum dynamic performance of a buck converter," in Proc. IEEE ISCAS, 1996, vol. 1, pp. 589-592.
7. A. Capel and D. O'Sullivan, "Very high frequency regulator for space applications," in Proc. IEEE PESC, 1996, vol. 1, pp. 846-852.
8. P. Gupta and A. Patra, "Super-stable energy based switching control scheme for dc-dc buck converter circuits," in Proc. IEEE ISCAS, 2005, vol. 4, pp. 3063-3066.
9. K. K. S. Leung and H. S. H. Chung, "Derivation of a second-order switching surface in the boundary control of buck converters," IEEE Power Electron. Lett., vol. 20, no. 2, pp. 63-67, Jun. 2004.
10. K. S. Leung and H. S. H. Chung, "A comparative study of the boundary control of buck converters using first- and second-order switching surfaces -Part I: Continuous conduction mode," in Proc. IEEE PESC 2005, pp. 2133-2139.
11. K. S. Leung and H. S. H. Chung, "A comparative study of the boundary control of buck converters using first- and second-order switching surfaces-Part II: Discontinuous conduction mode," in Proc. IEEE PESC 2005, pp. 2126-2132.
12. M. Ordonez, M. T. Iqbal, and J. E. Quaicoe, "Selection of a curved switching surface for buck converters," IEEE Trans. Power Electron. vol. 21, no. 4, pp. 1148-1153, Jul. 2006.
13. J. T. Mossoba and P. T. Krein, "Exploration of deadbeat control for dc-dc converters as hybrid systems," in Proc. IEEE PESC, Jun. 2005, pp. 1004-1010.
14. G. E. Pitel and P. T. Krein, "Trajectory paths for dc-dc converters and limits to performance," in Proc. IEEE COMPEL, 2006, pp. 40-47.
15. P. T. Krein, "Feasibility of geometric digital controls and augmentation for ultrafast dc-dc converter response," in Proc. IEEE COMPEL, 2006, pp. 48-56.
16. M. Athans and P. Falb, Optimal Control: An Introduction to The Theory and Its Applications. New York: McGraw-Hill, 1966.
17. A. S. I. Zinober and A. T. Fuller, "The sensitivity of nominally time-optimal control systems to parameter variation," Int. J. Contr. vol. 17, no. 4, pp. 673-703, 1973.
18. W. S. Newman, "Robust near time-optimal control," IEEE Trans. Automat. Contr., vol. 35, no. 7, pp. 841-844, Jul. 1990.
19. L. Y. Pao and G. F. Franklin, "Proximate time-optimal control of third-order servomechanisms," IEEE Trans. Automat. Contr., vol. 38, no. 4, pp. 560-580, Apr. 1993.
20. L. Y. Pao and G. F. Franklin, "The robustness of a proximate time-optimal controller," IEEE Trans. Automat. Contr., vol. 39, no. 9, pp. 1963-1966, Sep. 1994.
21. C. Laorpacharapan and L. Y. Pao, "Shaped time-optimal feedback control for disk-drive systems with back-electromotive force," IEEE Trans. Magn., vol. 40, no. 1, pp. 85-96, Jan. 2004.
22. E. Alarcón, D. Biel, F. Guinjoan, E. Fossas, E. Vidal, and A. Poveda, "Current-mode BiCMOS sliding-mode controller circuit for AC signal generation in switching power dc-dc converters," in Proc. IEEE MWSCAS99, Aug. 1999.
23. S. Gomáriz, E. Alarcón, J. A. Martínez, A. Poveda, J. Madrenas, and F. Guinjoan, "Minimum-time control of a buck converter by means of fuzzy logic approximation," in Proc. IEEE IECON'98, 1998, pp. 1060-1065.
24. B. Patella, A. Prodic, A. Zirger, and D. Maksimović, "High-frequency digital PWM controller IC for dc-dc converters," IEEE Trans. Power Electron., vol. 18, no. 1, pp. 438-446, Jan. 2003.
25. D. Maksimović, R. Zane, and R. Erickson, "Impact of digital control in power electronics," in Proc. IEEE Int. Symp. Power Semiconductor Devices ICs, 2004, pp. 13-22.
26. G. Feng, E. Meyer, and Y. F. Liu, "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.
27. G. Feng, E. Meyer, and Y. F. Liu, "High performance digital control algorithms for dc-dc converters based on the principle of capacitor charge balance," in Proc. IEEE PESC, 2006, pp. 1-7.
28. E. Meyer, G. Feng, and Y. F. Liu, "Novel digital controller improves dynamic response and simplifies design process of voltage regulator module," in Proc. IEEE APEC, 2007, pp. 1447-1453.
29. J. Quintero, A. Barrado, M. Sanz, A. Lazaro, and E. Olias, "Experimental validation of the advantages provided by linear-non-linear control in multi-phase VRM," in Proc. IEEE APEC 2007, pp. 707-713.
30. A. Soto, P. Alou, and J. A. Cobos, "Nonlinear digital control breaks bandwidth limitations," in Proc. IEEE APEC, 2006.
31. Z. Zhao and A. Prodic, "Continuous-time digital controller for high-frequency dc-dc converters," IEEE Trans. Power Electron., vol. 23, no. 2, pp. 564-573, Mar. 2008.
32. H. Hu, V. Yousefzadeh, and D. Maksimović, "Nonlinear control for improved dynamic response of digitally-controlled dc-dc converters," in Proc. IEEE PESC, 2006, pp. 1-7.
33. V. Yousefzadeh, T. Takayama, and D. Maksimović, "Hybrid DPWM with digital delay-locked loop," in Proc. IEEE COMPEL, 2006, pp. 142-148.
34. D. M. Van de Sype, K. De Gusseme, F. M. L. L. De Belie, A. P. Van den Bossche, and J. A. Melkebeek, "Small-signal z-domam analysis of digitally controlled converters," IEEE Trans. Power Electron., vol. 21, no. 2, pp. 470-478, Mar. 2006.
35. A. V. Peterchev and S. R. Sanders, "Quantization resolution and limit cycling in digitally controlled PWM converters," IEEE Trans. Power Electron., vol. 18, no. 1, pp. 301-308, Jan. 2003.
36. H. Peng, A. Prodic, E. Alarcon, and D. Maksimović, "Modeling of quantization effects in digitally controlled dc-dc converters," IEEE Trans. Power Electron., vol. 22, no. 1, pp. 208-215, Jan. 2007.
37. B. Miao, R. Zane, and D. Maksimović, "System identification of power converters with digital control through cross-correlation methods," IEEE Trans. Power Electron., vol. 20, no. 5, pp. 1093-1099, Sep. 2005.
38. W. Stefanutti, P. Mattavelli, S. Saggini, and M. Ghioni, "Autotuning of digitally controlled dc-dc converters based on relay feedback," IEEE Trans. Power Electron., vol. 22, no. 1, pp. 199-207, Jan. 2007.
39. S. Saggini, W. Stefanutti, E. Tedeschi, and P. Mattavelli, "Digital dead-beat control tuning for dc-dc converters using error correlation," IEEE Trans. Power Electron., vol. 22, no. 4, pp. 1566-1570, Jul. 2007.
40. W. Stefanutti, E. Della Monica, E. Tedeschi, P. Mattavelli, and S. Saggini, "Reduction of quantization effects in digitally controlled dc-dc converters using inductor current estimation," in Proc. IEEE PESC, 2006, pp. 1-7.