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Large-Signal Stability of the Quadratic Boost Converter Using a Disturbance Observer-Based Sliding-Mode Control

Author

Listed:
  • Satyajit Chincholkar

    (Department of Electronics and Telecommunication Engineering, School of E&TC Engineering, MIT Academy of Engineering, Pune 412105, India)

  • Mohd Tariq

    (Department of Electrical Engineering, ZHCET, Aligarh Muslim University, Aligarh 202002, India)

  • Shabana Urooj

    (Department of Electrical Engineering, College of Engineering, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

Abstract

The quadratic boost (QB) converter is a fourth-order system with a dc gain that is higher than the traditional second-order step-up configuration. The modern controllers that control these high-order dc–dc converters often only guarantee local stability around a steady-state equilibrium point, which is one of their primary drawbacks. In this article, a non-linear robust control law design to attain large-signal stability in this single switch QB converter is presented. In the presence of an unpredictable load, the control objective is to maintain the regulation of an output voltage. The Brunovsky canonical model of the converter was derived first, and the non-linear disturbance observer-based sliding-mode (SM) control law is designed based on it. An observer variable precisely estimates the output disturbances. The detailed process for deriving the control signal is described in this paper and the large-signal stability of the closed-loop converter system is ensured via the Lyapunov function. Finally, some simulation results are shown to validate the usefulness of the given controller.

Suggested Citation

  • Satyajit Chincholkar & Mohd Tariq & Shabana Urooj, 2023. "Large-Signal Stability of the Quadratic Boost Converter Using a Disturbance Observer-Based Sliding-Mode Control," Mathematics, MDPI, vol. 11(18), pages 1-14, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3945-:d:1241638
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    References listed on IDEAS

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    1. Hao Liu & Ranran Li & Yingying Ding, 2020. "Partial Eigenvalue Assignment for Gyroscopic Second-Order Systems with Time Delay," Mathematics, MDPI, vol. 8(8), pages 1-14, July.
    2. Evgeny Mikhailov & Maria Pashentseva, 2023. "Eigenvalue Problem for a Reduced Dynamo Model in Thick Astrophysical Discs," Mathematics, MDPI, vol. 11(14), pages 1-14, July.
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    Cited by:

    1. Satyajit Chincholkar & Mohd Tariq & Majid Poshtan & Mohamed Sharaf, 2024. "Normalized Error-Based PI Controller and Its Application to the DC–DC Buck Converter," Mathematics, MDPI, vol. 12(2), pages 1-15, January.

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