Design and experimental validation of a hybrid optimal control for DC-DC power converters
Authors
A.R. Meghnous, M.T. Pham, X. Lin-Shi, D. Patiño
Abstract
In this article, the problem of hybrid optimal control for DC-DC power converters is treated. The designed control is of type bang-bang established from Pontryagin’s maximum principle. The control is a state feedback and it is determined using an energy based minimization criterion derived from the power balance of Port-Hamiltonian systems. The developed control has the advantage to be easy to design and simple to implement in real time applications. The proposed control is applied to a SEPIC converter and validated in simulation and experimentation.
Citation
- Journal: IFAC Proceedings Volumes
- Year: 2014
- Volume: 47
- Issue: 3
- Pages: 11195–11200
- Publisher: Elsevier BV
- DOI: 10.3182/20140824-6-za-1003.02333
- Note: 19th IFAC World Congress
BibTeX
@article{Meghnous_2014,
title={{Design and experimental validation of a hybrid optimal control for DC-DC power converters}},
volume={47},
ISSN={1474-6670},
DOI={10.3182/20140824-6-za-1003.02333},
number={3},
journal={IFAC Proceedings Volumes},
publisher={Elsevier BV},
author={Meghnous, A.R. and Pham, M.T. and Lin-Shi, X. and Patiño, D.},
year={2014},
pages={11195--11200}
}References
- Meghnous AR, Patino D, Pham MT, Lin-Shi X (2013) Hybrid optimal control with singular arcs for DC-DC power converters. 52nd IEEE Conference on Decision and Control 103–10 – 10.1109/cdc.2013.6759866
- Dhali, PWM-based sliding mode controller for DC-DC boost converter. International Journal of Engineering Research and Applications (2012)
- Riedinger P, Morărescu I-C (2012) A numerical framework for optimal control of switched affine systems with state constraint. IFAC Proceedings Volumes 45(9):141–146. https://doi.org/10.3182/20120606-3-nl-3011.0000 – 10.3182/20120606-3-nl-3011.00002
- Jeltsema D, Dòria-Cerezo A (2011) Modeling of Systems With Position-Dependent Mass Revisited: A Port-Hamiltonian Approach. Journal of Applied Mechanics 78(6). https://doi.org/10.1115/1.400391 – 10.1115/1.4003910
- Patino D, Bâja M, Riedinger P, Cormerais H, Buisson J, Iung C (2010) Alternative control methods for DC–DC converters: An application to a four‐level three‐cell DC–DC converter. Intl J Robust & Nonlinear 21(10):1112–1133. https://doi.org/10.1002/rnc.165 – 10.1002/rnc.1651
- Mariethoz S, Almer S, Baja M, Beccuti AG, Patino D, Wernrud A, Buisson J, Cormerais H, Geyer T, Fujioka H, Jonsson UT, Kao C-Y, Morari M, Papafotiou G, Rantzer A, Riedinger P (2010) Comparison of Hybrid Control Techniques for Buck and Boost DC-DC Converters. IEEE Trans Contr Syst Technol 18(5):1126–1145. https://doi.org/10.1109/tcst.2009.203530 – 10.1109/tcst.2009.2035306
- Patino D, Riedinger P, Iung C (2009) Practical optimal state feedback control law for continuous-time switched affine systems with cyclic steady state. International Journal of Control 82(7):1357–1376. https://doi.org/10.1080/0020717080256328 – 10.1080/00207170802563280
- Jaafar A, Lefranc P, Godoy E, Shi XL, Fayaz A, Li N (2009) Experimental validation with a control point of view analysis of the SEPIC converter. 2009 35th Annual Conference of IEEE Industrial Electronics 462–49 – 10.1109/iecon.2009.5414966
- Chan C-Y (2007) A Nonlinear Control for DC–DC Power Converters. IEEE Trans Power Electron 22(1):216–222. https://doi.org/10.1109/tpel.2006.88665 – 10.1109/tpel.2006.886657
- Van Der\ Schaft, (2004)
- Ingalls B, Sontag ED, Wang Y (2002) An infinite-time relaxation theorem for differential inclusions. Proc Amer Math Soc 131(2):487–499. https://doi.org/10.1090/s0002-9939-02-06539- – 10.1090/s0002-9939-02-06539-5
- Maschke B, Ortega R, Van Der Schaft AJ (2000) Energy-based Lyapunov functions for forced Hamiltonian systems with dissipation. IEEE Trans Automat Contr 45(8):1498–1502. https://doi.org/10.1109/9.87175 – 10.1109/9.871758
- Kawasaki N, Nomura H, Masuhiro M (1995) A new control law of bilinear DC-DC converters developed by direct application of Lyapunov. IEEE Trans Power Electron 10(3):318–325. https://doi.org/10.1109/63.38799 – 10.1109/63.387997
- Powers WF (1980) On the order of singular optimal control problems. J Optim Theory Appl 32(4):479–489. https://doi.org/10.1007/bf0093403 – 10.1007/bf00934035
- Moylan PJ, Moore JB (1971) Generalizations of singular optimal control theory. Automatica 7(5):591–598. https://doi.org/10.1016/0005-1098(71)90024- – 10.1016/0005-1098(71)90024-0
- Robbins HM (1967) A Generalized Legendre-Clebsch Condition for the Singular Cases of Optimal Control. IBM J Res & Dev 11(4):361–372. https://doi.org/10.1147/rd.114.036 – 10.1147/rd.114.0361
- Kopp, Pontryagin maximum principle. (1962)