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Energies 2018, 11(11), 3086; https://doi.org/10.3390/en11113086

Control of a DC-DC Buck Converter through Contraction Techniques

1
Grupo de Modelado Computacional–Dinámica y Complejidad de Sistemas, Instituto de Matemáticas Aplicadas, Universidad de Cartagena, Carrera 6 # 36–100, Cartagena de Indias 130001, Bolívar, Colombia
2
Departamento de Ingeniería Eléctrica, Electrónica y Computación, Percepción y Control Inteligente–Bloque Q, Universidad Nacional de Colombia–Sede Manizales, Facultad de Ingeniería y Arquitectura, Campus La Nubia, Manizales 170003, Colombia
3
Departamento de Matemáticas, Percepción y Control Inteligente–Bloque W, Universidad Nacional de Colombia–Sede Manizales, Facultad de Ciencias Exactas y Naturales, Campus La Nubia, Manizales 170003, Colombia
*
Author to whom correspondence should be addressed.
Received: 20 September 2018 / Revised: 17 October 2018 / Accepted: 25 October 2018 / Published: 8 November 2018
(This article belongs to the Special Issue Control and Nonlinear Dynamics on Energy Conversion Systems)
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Abstract

Reliable and robust control of power converters is a key issue in the performance of numerous technological devices. In this paper we show a design technique for the control of a DC-DC buck converter with a switching technique that guarantees both good performance and global stability. We show that making use of the contraction theorem in the Jordan canonical form of the buck converter, it is possible to find a switching surface that guarantees stability but it is incapable of rejecting load perturbations. To overcome this, we expand the system to include the dynamics of the voltage error and we demonstrate that the same design procedure is not only able to stabilize the system to the desired operation point but also to reject load, input voltage, and reference voltage perturbations. View Full-Text
Keywords: DC-DC buck converter; contraction analysis; global stability; matrix norm DC-DC buck converter; contraction analysis; global stability; matrix norm
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Angulo-Garcia, D.; Angulo, F.; Osorio, G.; Olivar, G. Control of a DC-DC Buck Converter through Contraction Techniques. Energies 2018, 11, 3086.

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