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Fractional Order Pole Placement for a buck converter based on commensurable transfer function.

Florindo A de C Ayres1, Iury Bessa1, Vinicius Matheus Batista Pereira1

  • 1Department of Electricity, Federal University of Amazonas, Avenida General Rodrigo Octavio, 6200, Coroado I, 69077-000, Manaus, AM, Brazil.

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Summary

A new fractional order pole placement (FOPP) method enhances controller tuning for DC/DC converters. This novel approach improves performance and robustness, especially under varying load and parametric conditions.

Keywords:
Commensurable Order Transfer FunctionsDC/DC power converterFractional Order Pole PlacementFractional order controlFractional order three terms transfer functionPseudo damping factor

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Area of Science:

  • Control Engineering
  • Electrical Engineering
  • Applied Mathematics

Background:

  • Classical pole placement is limited for fractional-order systems.
  • Fractional-order controllers offer improved system performance.
  • Tuning fractional-order controllers requires advanced methodologies.

Purpose of the Study:

  • To propose a novel fractional order pole placement (FOPP) methodology.
  • To extend classical pole placement for fractional-order controllers.
  • To design and experimentally validate FOPP for DC/DC buck converters.

Main Methods:

  • Utilizing commensurable transfer functions for fractional-order controllers.
  • Placing fractional dominant poles within an extended stability region.
  • Digital implementation via Oustaloup approximation and Hankel model reduction.
  • Experimental comparison with existing tuning methods under various disturbances.

Main Results:

  • The proposed FOPP method successfully designs fractional-order controllers for DC/DC buck converters.
  • Experimental results demonstrate superior performance of FOPP compared to other methods.
  • FOPP shows enhanced robustness against load and parametric variations.
  • Integral indices confirm improved performance, robustness, and control effort.

Conclusions:

  • The novel FOPP methodology provides an effective approach for tuning fractional-order controllers.
  • FOPP offers significant advantages in robustness and performance for DC/DC converters.
  • This method advances the application of fractional-order control in power electronics.