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Tuning fractional-order proportional-integral-derivative (FOPID) controllers has been a challenge that can be performed by applying time domain methods. In this manner, the proposed work shows the tuning of FOPID controllers for a DC–DC Buck converterDC-DC buck converter by applying particle swarm optimizationParticle swarm optimization (PSO) algorithm and the Grünwald-LetnikovGrünwald-Letnikov (GL) method. The goal is finding feasible values of the FOPID gains and fractional-orders that mitigate overshoot considering a percentage error in the desired output voltage, and in addition, that improve settling time and slew rate characteristics. An explicit multi-step method is used to evaluate the ordinary differential equations modeling the Buck converter, and GL method is applied to evaluate the FOPID. The solutions generated by PSOParticle swarm optimization show that the tuned gains and fractional-orders found for the case study controllers, namely: PD \(^\mu \) andPD PI \(^\lambda \) D \(^\mu \) , improvePID time responses characteristics of three already published works, for a DC–DC Buck converterDC-DC buck converter. This confirms that time domain methods along optimization algorithms are useful to accurately and efficiently improve the tuning of FOPIDs.

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Tuning PI \(^\lambda \) D \(^\mu \) Controllers in Time Domain for a DC–DC Buck Converter

  • 会议论文

  • 发表日期：

    2025年

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  • Sandra Huerta-Moro,
  • Angel Joel Lara-Martinez,
  • Victor Rodolfo Gonzalez-Diaz,
  • Esteban Tlelo-Cuautle

摘要

Tuning fractional-order proportional-integral-derivative (FOPID) controllers has been a challenge that can be performed by applying time domain methods. In this manner, the proposed work shows the tuning of FOPID controllers for a DC–DC Buck converterDC-DC buck converter by applying particle swarm optimizationParticle swarm optimization (PSO) algorithm and the Grünwald-LetnikovGrünwald-Letnikov (GL) method. The goal is finding feasible values of the FOPID gains and fractional-orders that mitigate overshoot considering a percentage error in the desired output voltage, and in addition, that improve settling time and slew rate characteristics. An explicit multi-step method is used to evaluate the ordinary differential equations modeling the Buck converter, and GL method is applied to evaluate the FOPID. The solutions generated by PSOParticle swarm optimization show that the tuned gains and fractional-orders found for the case study controllers, namely: PD \(^\mu \) andPD PI \(^\lambda \) D \(^\mu \) , improvePID time responses characteristics of three already published works, for a DC–DC Buck converterDC-DC buck converter. This confirms that time domain methods along optimization algorithms are useful to accurately and efficiently improve the tuning of FOPIDs.