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Linear Quadratic Gaussian Controller for Single-Ended Primary Inductor Converter via Integral Linear Quadratic Regulator Merged with an Offline Kalman Filter

Author

Listed:
  • Youssef El Haj

    (Department of Electrical, Computer and Software Engineering, Ontario Tech University, Oshawa, ON L1G 0C5, Canada)

  • Vijay K. Sood

    (Department of Electrical, Computer and Software Engineering, Ontario Tech University, Oshawa, ON L1G 0C5, Canada)

Abstract

This paper introduces a Linear Quadratic Gaussian (LQG) controller for a Single-Ended Primary Inductor Converter (SEPIC). The LQG design is based on merging an integral Linear Quadratic Regulator (LQR) with an offline Kalman Filter (commonly referred to as a Linear Quadratic Estimator (LQE)). The robustness of the LQG controller is guaranteed based on the separation principle. This manuscript addresses the need to use observer-based systems for the fourth-order SEPIC, which needs a sensor reduction as an essential requirement. This paper provides a comprehensive, yet systematic, approach to designing the LQG system. The work validates the convergences of the states in an LQG system to an actual value. Furthermore, it compares the performance of an LQG system with a benchmark Type-II industrial controller by means of a simulation of the switched converter model in the Simulink/MATLAB 2023a environment.

Suggested Citation

  • Youssef El Haj & Vijay K. Sood, 2024. "Linear Quadratic Gaussian Controller for Single-Ended Primary Inductor Converter via Integral Linear Quadratic Regulator Merged with an Offline Kalman Filter," Energies, MDPI, vol. 17(14), pages 1-33, July.
    • Handle: RePEc:gam:jeners:v:17:y:2024:i:14:p:3385-:d:1432321
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    References listed on IDEAS

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    1. Sri Revathi, B. & Prabhakar, M., 2016. "Non isolated high gain DC-DC converter topologies for PV applications – A comprehensive review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 66(C), pages 920-933.
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