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Direct Form Digital Robust RST Control Based on Chebyshev Sphere Optimization Applied in a DC-DC Power Converter

Author

Listed:
  • Cleonor C. das Neves

    (Institute of Technology, Faculty of Electrical Engineering, Federal University of Pará—UFPA, Pará, Belém City 66075-110, Brazil)

  • Walter B. Junior

    (Institute of Technology, Faculty of Electrical Engineering, Federal University of Pará—UFPA, Pará, Belém City 66075-110, Brazil)

  • Renan L. P. de Medeiros

    (Faculty of Technology, Department of Electricity, Federal University of Amazonas—UFAM, Manaus City 69067-005, Amazonas, Brazil)

  • Florindo A. C. Ayres Junior

    (Faculty of Technology, Department of Electricity, Federal University of Amazonas—UFAM, Manaus City 69067-005, Amazonas, Brazil)

  • Iury V. Bessa

    (Faculty of Technology, Department of Electricity, Federal University of Amazonas—UFAM, Manaus City 69067-005, Amazonas, Brazil)

  • Isaías V. Bessa

    (Faculty of Technology, Department of Electricity, Federal University of Amazonas—UFAM, Manaus City 69067-005, Amazonas, Brazil)

  • Gabriela de M. Veroneze

    (Faculty of Technology, Department of Electricity, Federal University of Amazonas—UFAM, Manaus City 69067-005, Amazonas, Brazil)

  • Luiz E. S. e Silva

    (Faculty of Technology, Department of Electricity, Federal University of Amazonas—UFAM, Manaus City 69067-005, Amazonas, Brazil)

  • Nei J. S. Farias

    (Faculty of Technology, Department of Electricity, Federal University of Amazonas—UFAM, Manaus City 69067-005, Amazonas, Brazil)

Abstract

This paper presents a novel direct form to design a digital robust control using RST structure (i.e., name given because of the R, S and T polynomials computed) based on convex optimization such as Chebyshev sphere; this approach was applied to a DC-DC Buck converter. This methodology takes into account parametric uncertainties and a Chebyshev sphere constraint in order to ensure robust performance and stability of the system in the discrete domain. For this purpose, a mathematical model for the DC-DC Buck converter is presented when considering uncertainties in electrical variables, such as load resistance, inductance, capacitance, and source voltage variation, also to obtain the discrete model of the system by using the bilinear transformation. The proposed methodology is compared with two other approaches designed in a discrete domain: the classical pole placement and the robust methodology based on the Kharitonov theorem. Wide-ranging experiments are performed in order to evaluate the behavior of the control methodologies when the system is subject to parametric variations of the load resistance and voltage setpoint variation. The results show that the proposed methodology outperforms the other approaches in 90% of the tests and ensures robust stability and robust performance when the system is subjected to a parametric uncertainties family.

Suggested Citation

  • Cleonor C. das Neves & Walter B. Junior & Renan L. P. de Medeiros & Florindo A. C. Ayres Junior & Iury V. Bessa & Isaías V. Bessa & Gabriela de M. Veroneze & Luiz E. S. e Silva & Nei J. S. Farias, 2020. "Direct Form Digital Robust RST Control Based on Chebyshev Sphere Optimization Applied in a DC-DC Power Converter," Energies, MDPI, vol. 13(15), pages 1-22, July.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:15:p:3810-:d:389516
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    References listed on IDEAS

    as
    1. Andrei Blinov & Roman Kosenko & Andrii Chub & Volodymyr Ivakhno, 2019. "Analysis of Fault-Tolerant Operation Capabilities of an Isolated Bidirectional Current-Source DC–DC Converter," Energies, MDPI, vol. 12(16), pages 1-14, August.
    2. Stefania Cuoghi & Lorenzo Ntogramatzidis & Fabrizio Padula & Gabriele Grandi, 2018. "Direct Digital Design of PIDF Controllers with ComPlex Zeros for DC-DC Buck Converters," Energies, MDPI, vol. 12(1), pages 1-21, December.
    3. Rok Pajer & Amor Chowdhury & Miran Rodič, 2019. "Control of a Multiphase Buck Converter, Based on Sliding Mode and Disturbance Estimation, Capable of Linear Large Signal Operation," Energies, MDPI, vol. 12(14), pages 1-26, July.
    4. Xianxu Huo & Ke Xu & Ruixin Liu & Xi Chen & Zhanchun Li & Haiyun Yan, 2019. "A Structure-Reconfigurable Soft-Switching DC-DC Converter for Wide-Range Applications," Energies, MDPI, vol. 12(15), pages 1-25, July.
    5. Márcio Rodrigo Santos de Carvalho & Fabrício Bradaschia & Leonardo Rodrigues Limongi & Gustavo Medeiros de Souza Azevedo, 2019. "Modeling and Control Design of the Symmetrical Interleaved Coupled-Inductor-Based Boost DC-DC Converter with Clamp Circuits," Energies, MDPI, vol. 12(18), pages 1-21, September.
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