Robust LMI-Control of a Boost Converter Supplying Constant Power Load
DOI:
https://doi.org/10.22517/23447214.26482Keywords:
Boost converter, Constant Power Load, Linear Matrix Inequalities, Robust Control, Stability Analysis, Boost Converter; Constant Power Load (CPL); Linear Matrix Inequalities (LMI); Robust Control; Stability Analysis.Abstract
This paper presents the synthesis of a robust LMI-based controller for a boost converter supplying a constant power load (CPL). The converter connects a DC bus to a CPL requiring regulated output voltage. In the absence of control, the system may exhibit unstable behavior due to the destabilizing characteristics of the CPL. The proposed robust linear controller stabilizes the system and provides output-voltage regulation while accounting for parametric uncertainties. Specifically, the controller synthesis imposes prescribed constraints on closed-loop pole location, control effort, and disturbance attenuation. The controller is evaluated using a switched boost-converter model implemented in PSIM under load-power and input-voltage disturbances. Simulation results show settling times of approximately 2 ms for the load disturbance and 1.5 ms for the input-voltage disturbance, together with improved damping compared with the conventional LQR controller. These simulation results demonstrate the effectiveness of the proposed LMI-based controller in maintaining output-voltage regulation under the evaluated operating conditions.
Downloads
References
Elham Moradi-Khaligh, Shahram Karimi, Mahdieh S. Sadabadi, “Robust LMI-based voltage control strategy for DC microgrids under disturbances and constant power load uncertainties,” Electric Power Systems Research, Volume 241, 2025.
https://doi.org/10.1016/j.epsr.2024.111333
C. A. Torres-Pinzón, L. Paredes-Madrid, F. Flores-Bahamonde, and H. Ramirez-Murillo, “LMI-Fuzzy Control Design for Non-Minimum-Phase DC-DC Converters: An Application for Output Regulation,” Applied Sciences 11, no. 5: 2286, 2021.
https://doi.org/10.3390/app11052286
C. A. Torres-Pinzón, F. Flores-Bahamonde, J. A. Garriga-Castillo, H. Valderrama-Blavi, R. Haroun and L. Martínez-Salamero, “Sliding-Mode Control of a Quadratic Buck Converter With Constant Power Load,” in IEEE Access, vol. 10, pp. 71837-71852, 2022.
https://doi: 10.1109/ACCESS.2022.3186312
A. Kwasinski and P. T. Krein, “Passivity-Based Control of Buck Converters with Constant-Power Loads,” 2007 IEEE Power Electronics Specialists Conference, Orlando, FL, USA, 2007, pp. 259-265, doi: 10.1109/PESC.2007.4341998.
O. D. Montoya, W. Gil-González, F. M. Serra and G. Magaldi, “PBC Approach Applied on a DC-DC Step-Down Converter for Providing Service to CPLs,” 2019 IEEE 4th Colombian Conference on Automatic Control (CCAC), Medellin, Colombia, 2019, pp. 1-6, doi: 10.1109/CCAC.2019.8920944.
C. Olalla, R. Leyva, A. El Aroudi and I. Queinnec, “Robust LQR Control for PWM Converters: An LMI Approach,” in IEEE Transactions on Industrial Electronics, vol. 56, no. 7, pp. 2548-2558, July 2009.
https://doi: 10.1109/TIE.2009.2017556
C. Olalla, I. Queinnec, R. Leyva, A. El Aroudi, “Robust optimal control of bilinear DC–DC converters”, Control Engineering Practice, Volume 19, Issue 7, Pages 688-699, 2011.
https://doi.org/10.1016/j.conengprac.2011.03.004
C. A. Torres-Pinzón, R. Giral, R. Leyva, “LMI-Based Robust Controllers for DC-DC Cascade Boost Converters,” Journal of Power Electronics, Vol. 12, No 4, pp. 538-547, 2012.
https://doi.org/10.6113/JPE.2012.12.4.538
B. A. Martinez-Treviño, A. E. Aroudi, A. Cid-Pastor and L. Martinez-Salamero, “Nonlinear Control for Output Voltage Regulation of a Boost Converter With a Constant Power Load,” in IEEE Transactions on Power Electronics, vol. 34, no. 11, pp. 10381-10385, Nov. 2019.
https://doi:10.1109/TPEL.2019.2913570.
Suresh Singh, Aditya R. Gautam, Deepak Fulwani, “Constant power loads and their effects in DC distributed power systems: A review,” Renewable and Sustainable Energy Reviews, Vol. 72, pp. 407-421, 2017.
https://doi.org/10.1016/j.rser.2017.01.027
H. Ramírez-Murillo, .et al, “LMI Control Design of a Non-Inverting Buck-Boost Converter: a Current Regulation Approach,,” TECCIENCIA, Vol. 12 No. 22, 79-85, 2017.
https://doi.org/10.18180/tecciencia.2017.22.9
R. M. Fuentes, J. M. Palma, H. Guillardi Júnior, M. J. Lacerda, L. de P. Carvalho, A. J. Rojas, and R. C. L. F. Oliveira, “Gain-Scheduled Control Design Applied to Classical dc–dc Converters in Photovoltaic Systems and Constant Power Loads,” Mathematics, vol. 10, no. 19, Art. no. 3467, 2022.
https://doi.org/10.3390/math10193467
R. D. Middlebrook and S. Cuk, “A general unified approach to modelling switching-converter power stages,” in 1976 IEEE Power Electronics Specialists Conference, 1976, pp. 18–34, doi: 10.1109/PESC.1976.7072895.
S. Boyd, L. E. Ghaoul, E. Feron, and V. Balakrishnan, “Linear Matrix Inequalities in Systems and Control Theory,” Vol. 15 of Studies in Applied and Numerical Mathematics, SIAM, Philadelphia, 1994. doi: https://doi.org/10.1137/1.9781611970777.
M. Chilali and P. Gahinet, “H_∞ design with pole placement constraints: an LMI approach,” in IEEE Transactions on Automatic Control, vol. 41, no. 3, pp. 358-367, March 1996, doi: 10.1109/9.486637.
C. Olalla , R. Leyva, A. El Aroudi, P. Garcés, I. Queinnec, “LMI Robust Control Design for Boost PWM Converters,” IET Power Electronics, vol. 3, Iss. 1, p. 75-85, 2010.
https://doi.org/10.1049/iet-pel.2008.0271
P. Gahinet, A. Nemirovskii, A. J. Laub and M. Chilali, “The LMI control toolbox,” Proceedings of 1994 33rd IEEE Conference on Decision and Control, Lake Buena Vista, FL, USA, 1994, pp. 2038-2041 vol.3, doi: 10.1109/CDC.1994.411440.
Downloads
-
Vistas(Views): 30
- PDF (Español (España)) Descargas(Downloads): 34
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Carlos Andrés Torres Pinzón, Óscar Danilo Montoya Giraldo, Juan Diego Pulgarín rivera

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
The undersigned authors declare that the article submitted to the journal Scientia et Technica is an original work and that all its content is free of third-party copyright restrictions or has the corresponding authorizations. Consequently, the authors assume responsibility for any litigation or claim related to intellectual property rights, releasing the Technological University of Pereira and the journal Scientia et Technica from any liability.
If the submitted work is accepted for publication, the authors retain copyright to the article and grant the journal Scientia et Technica the right of first publication, as well as a non-exclusive, perpetual license to reproduce, edit, distribute, display, and publicly communicate the article in any medium or format, including print, electronic, databases, repositories, the Internet, or other scientific dissemination systems. The authors agree that the article will be published in open access and distributed under the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (CC BY-NC-SA 4.0).
The journal Scientia will respect in all cases the moral rights of the authors, in accordance with the provisions of article 30 of Law 23 of 1982 of the Republic of Colombia, recognizing the authorship of the work, the right to integrity and the right of disclosure, which are inalienable and non-waivable.