Robust LMI-Control of a Boost Converter Supplying Constant Power Load


Authors

DOI:

https://doi.org/10.22517/23447214.26482

Keywords:

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.

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Author Biographies

Carlos Andrés Torres Pinzón, Universidad Distrital Francisco José de Caldas

Carlos Andrés Torres-Pinzón was born in Neiva, Colombia, in 1982. He received the B.S. and M.S. degrees in electrical engineering from Universidad Tecnológica de Pereira (UTP), Pereira, Colombia, in 2006 and 2008, respectively, and the M.S. and Ph.D. degrees in electronic engineering from Universitat Rovira i Virgili, Tarragona, Spain, in 2010 and 2012, respectively. From 2006 to 2007, he was a Lecturer Assistant with UTP. From 2013 to February 2025, he was an Associate Professor with the Faculty of Electronics Engineering at Universidad Santo Tomás, Bogotá, Colombia, where he also served as the Dean of the Faculty of Electronic Engineering and as the Leader of the Modeling, Electronics and Monitoring (MEM) Research Group. Since March 2025, he has been an Assistant Professor with the Faculty of Engineering, Universidad Distrital Francisco José de Caldas, Bogotá, Colombia. His main research interests include robust control, sliding-mode control, dc–dc converter design, and the control and energy management of power electronic systems.

Óscar Danilo Montoya Giraldo, Universidad Distrital Francisco José de Caldas

Oscar Danilo Montoya (Senior Member, IEEE) was born in Obando, Valle, Colombia, in 1989. He received the BE.E., M.Sc., and Ph.D. degrees in electrical engineering from the Universidad Tecnológica de Pereira, Pereira, Colombia, in 2012, 2014, and 2019, respectively. He is currently an Associate Professor in the electrical engineering program with the Universidad Distrital Francisco José de Caldas, Bogotá, Colombia. His research interests include mathematical optimization, power systems planning and control, renewable energies, energy storage, passivity-based control, and dynamical analysis.

Juan Diego Pulgarín rivera, Universidad Distrital Francisco José de Caldas

Juan Diego Pulgarín Rivera was born in Manizales, Caldas, Colombia in 1985. He received the BE.E., M.Sc., and Ph.D. degrees in electrical engineering from the Universidad Nacional de Colombia, Manizales, Colombia, in 2008, 2011, and 2020, respectively. He is currently an Assistant Professor in the electrical engineering program with the Universidad Distrital Francisco José de Caldas, Bogotá, Colombia. His research interests include propagation of electromagnetic waves on irregular surfaces, and atmospheric electrical discharges, dynamic, control and operation of power systems, and electromagnetic transients.

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Published

2026-10-01

How to Cite

Torres Pinzón, C. A., Montoya Giraldo, Óscar D., & Pulgarín rivera, J. D. (2026). Robust LMI-Control of a Boost Converter Supplying Constant Power Load. Scientia Et Technica, 31(03), 85–94. https://doi.org/10.22517/23447214.26482