Adaptive PI Stabilisation of Switched Power Converters Described by Port-Hamiltonian Models
Authors
Michael Hernandez-Gomez, Romeo Ortega, Françoise Lamnabhi-Lagarrigue, Gerardo Escobar
Abstract
A methodology to design linear proportional–integral (PI) controllers used in power converter applications and ensuring asymptotic stability was proposed. The technique relied on the basic fact that if an affine system can be rendered passive with a constant control, then it is stabilisable with a PI. A structural condition was imposed then on the power converter to satisfy the former property with a passive output generated as a linear combination of the states. This condition is technical and has no clear physical interpretation. This result is extended in three directions: first, the aforementioned condition is removed; second, a larger class of converters (with switching external sources) is considered; third, the load resistance is assumed unknown, and an adaptive PI controller (with three different estimators) is proposed. The methodology is applied to the problem of power factor compensation of a three-phase voltage source rectifier, with simulation results presented and discussed. Also, a stable adaptive PI is designed for the output voltage regulation of a quadratic boost converter showing the performance by means of experimental result.
Keywords
Switching Power Converters; port-Hamiltonian Model; Passive Output; Power Factor Compensation; Load Resistance
Citation
- ISBN: 9781447128847
- Publisher: Springer London
- DOI: 10.1007/978-1-4471-2885-4_12
BibTeX
@inbook{Hernandez_Gomez_2012,
title={{Adaptive PI Stabilisation of Switched Power Converters Described by Port-Hamiltonian Models}},
ISBN={9781447128854},
ISSN={2193-1577},
DOI={10.1007/978-1-4471-2885-4_12},
booktitle={{Dynamics and Control of Switched Electronic Systems}},
publisher={Springer London},
author={Hernandez-Gomez, Michael and Ortega, Romeo and Lamnabhi-Lagarrigue, Françoise and Escobar, Gerardo},
year={2012},
pages={355--388}
}
References
- A. Astolfi. Astolfi, A., Karagiannis, D., Ortega, R.: Nonlinear and Adaptive Control with Applications. Springer, Berlin (2007) (2007)
- C.A. Desoer. Desoer, C.A., Vidyasagar, M.: Feedback Systems: Input–Output Properties. Academic Press, New York (1975) (1975)
- 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
- 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
- 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
- Jeltsema, D.: Input–output passivity of switched power converters. Technical report (2006)
- J. Kassakian. Kassakian, J., Schlecht, M., Verghese, G.: Principles of Power Electronics. Wesley, Reading (1991) (1991)
- H.K. Khalil. Khalil, H.K.: Nonlinear Systems, 3rd edn. Prentice Hall, Upper Saddle River (2002) (2002)
- Perez, M., Ortega, R. & Espinoza, J. Passivity-Based PI Control of Switched Power Converters. IEEE Transactions on Control Systems Technology vol. 12 881–890 (2004) – 10.1109/tcst.2004.833628
- 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
- S. Sastry. Sastry, S., Bodson, M.: Adaptive Control: Stability, Convergence, and Robustness. Prentice Hall, Englewood Cliffs (1989) (1989)
- van der Schaft, A. L2 - Gain and Passivity Techniques in Nonlinear Control. Communications and Control Engineering (Springer London, 2000). doi:10.1007/978-1-4471-0507-7 – 10.1007/978-1-4471-0507-7
- Zainea, M., van der Schaft, A. & Buisson, J. Stabilizing control for power converters connected to transmission lines. 2007 American Control Conference 3476–3481 (2007) doi:10.1109/acc.2007.4282325 – 10.1109/acc.2007.4282325