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Control of a DC-DC Buck Converter through Contraction Techniques

Author

Listed:
  • David Angulo-Garcia

    (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)

  • Fabiola Angulo

    (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)

  • Gustavo Osorio

    (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)

  • Gerard Olivar

    (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)

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.

Suggested Citation

  • David Angulo-Garcia & Fabiola Angulo & Gustavo Osorio & Gerard Olivar, 2018. "Control of a DC-DC Buck Converter through Contraction Techniques," Energies, MDPI, vol. 11(11), pages 1-17, November.
    • Handle: RePEc:gam:jeners:v:11:y:2018:i:11:p:3086-:d:181502
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    References listed on IDEAS

    as
    1. Martín-Antonio Rodríguez-Licea & Francisco-Javier Pérez-Pinal & Jose-Cruz Nuñez-Perez & Carlos-Alonso Herrera-Ramirez, 2018. "Nonlinear Robust Control for Low Voltage Direct-Current Residential Microgrids with Constant Power Loads," Energies, MDPI, vol. 11(5), pages 1-20, May.
    2. Saima Siouane & Slaviša Jovanović & Philippe Poure, 2018. "Service Continuity of PV Synchronous Buck/Buck-Boost Converter with Energy Storage †," Energies, MDPI, vol. 11(6), pages 1-20, May.
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    Cited by:

    1. Juan-Guillermo Muñoz & Fabiola Angulo & David Angulo-Garcia, 2020. "Zero Average Surface Controlled Boost-Flyback Converter," Energies, MDPI, vol. 14(1), pages 1-18, December.
    2. Mauricio Dalla Vecchia & Giel Van den Broeck & Simon Ravyts & Johan Driesen, 2019. "Novel Step-Down DC–DC Converters Based on the Inductor–Diode and Inductor–Capacitor–Diode Structures in a Two-Stage Buck Converter," Energies, MDPI, vol. 12(6), pages 1-22, March.

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