Authors

Ali Jaafar, Aya Alawieh, R. Ortega, Emmanuel Godoy, Pierre Lefranc

Abstract

In a recent paper a procedure to design globally asymptotically stabilizing linear proportional plus integral controllers for switched power converters was proposed. The construction requires the measurement of the full state of the system, which is often unavailable in practice. In this note we identify a class of converters for which an asymptotically convergent reduced order observer, preserving the aforementioned stability property of the closed-loop, can be designed. The class is characterized by a simple linear matrix inequality. The new controller is illustrated with the widely-popular, and difficult to control, single-ended primary inductor converter, for which simulation and experimental results are presented.

Citation

  • Journal: IEEE Transactions on Control Systems Technology
  • Year: 2013
  • Volume: 21
  • Issue: 2
  • Pages: 560–568
  • Publisher: Institute of Electrical and Electronics Engineers (IEEE)
  • DOI: 10.1109/tcst.2012.2186368

BibTeX

@article{Jaafar_2013,
  title={{PI Stabilization of Power Converters With Partial State Measurements}},
  volume={21},
  ISSN={1558-0865},
  DOI={10.1109/tcst.2012.2186368},
  number={2},
  journal={IEEE Transactions on Control Systems Technology},
  publisher={Institute of Electrical and Electronics Engineers (IEEE)},
  author={Jaafar, Ali and Alawieh, Aya and Ortega, R. and Godoy, Emmanuel and Lefranc, Pierre},
  year={2013},
  pages={560--568}
}

Download the bib file

References

  • Panteley, E. & Lorı́a, A. Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems. Automatica vol. 37 453–460 (2001) – 10.1016/s0005-1098(00)00169-2
  • vorperian, Analysis of the SEPIC converter. Ridley Engineering Inc (2006)
  • kassakian, Principles of Power Electronics (1991)
  • Wang, S.-B., Zhou, Y., Iu, H. H. C. & Chen, J.-N. Complex Phenomena in SEPIC Converter Based on Sliding Mode Control. 2007 IEEE International Symposium on Circuits and Systems 2407–2410 (2007) doi:10.1109/iscas.2007.377945 – 10.1109/iscas.2007.377945
  • He, Y. & Luo, F. L. Sliding-mode control for dc–dc converters with constant switching frequency. IEE Proceedings - Control Theory and Applications vol. 153 37–45 (2006) – 10.1049/ip-cta:20050030
  • jaafar, Passivity with immersion and invariance for modelling, control and observation of high order DC-DC converters. IET Control Theory Appl J (0)
  • astolfi, Nonlinear and Adaptive Control with Applications (2007)
  • Sanders, S. R. & Verghese, G. C. Lyapunov-based control for switched power converters. IEEE Transactions on Power Electronics vol. 7 17–24 (1992) – 10.1109/63.124573
  • khalil, Nonlinear Systems (2002)
  • Escobar, G., van der Schaft, A. J. & Ortega, R. A Hamiltonian viewpoint in the modeling of switching power converters. Automatica vol. 35 445–452 (1999) – 10.1016/s0005-1098(98)00196-4
  • Seibert, P. & Suarez, R. Global stabilization of nonlinear cascade systems. Systems & Control Letters vol. 14 347–352 (1990) – 10.1016/0167-6911(90)90056-z
  • Jaafar, A. et al. Experimental validation with a control point of view analysis of the SEPIC converter. 2009 35th Annual Conference of IEEE Industrial Electronics 462–497 (2009) doi:10.1109/iecon.2009.5414966 – 10.1109/iecon.2009.5414966
  • Jayawardhana, B., Ortega, R., García-Canseco, E. & Castaños, F. Passivity of nonlinear incremental systems: Application to PI stabilization of nonlinear RLC circuits. Systems & Control Letters vol. 56 618–622 (2007) – 10.1016/j.sysconle.2007.03.011
  • Hernandez-Gomez, M., Ortega, R., Lamnabhi-Lagarrigue, F. & Escobar, G. Adaptive PI Stabilization of Switched Power Converters. IEEE Transactions on Control Systems Technology vol. 18 688–698 (2010) – 10.1109/tcst.2009.2023669
  • Sontag, E. D. A remark on the converging-input converging-state property. IEEE Transactions on Automatic Control vol. 48 313–314 (2003) – 10.1109/tac.2002.808490