Fractional-Order Approximation and Synthesis of a PID Controller for a Buck Converter

Allan G. Soriano-Sánchez, Martín A. Rodríguez-Licea, Francisco J. Pérez-Pinal and José A. Vázquez-López
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Allan G. Soriano-Sánchez: CONACYT–Instituto Tecnológico de Celaya, Antonio García Cubas Pte. 600, Celaya 38010, Gto., Mexico
Martín A. Rodríguez-Licea: CONACYT–Instituto Tecnológico de Celaya, Antonio García Cubas Pte. 600, Celaya 38010, Gto., Mexico
Francisco J. Pérez-Pinal: Tecnológico Nacional de México, Instituto Tecnológico de Celaya, Antonio García Cubas Pte. 600, Celaya 38010, Gto., Mexico
José A. Vázquez-López: Tecnológico Nacional de México, Instituto Tecnológico de Celaya, Antonio García Cubas Pte. 600, Celaya 38010, Gto., Mexico

Energies, 2020, vol. 13, issue 3, 1-17

Abstract: In this paper, the approximation of a fractional-order PIDcontroller is proposed to control a DC–DC converter. The synthesis and tuning process of the non-integer PID controller is described step by step. A biquadratic approximation is used to produce a flat phase response in a band-limited frequency spectrum. The proposed method takes into consideration both robustness and desired closed-loop characteristics, keeping the tuning process simple. The transfer function of the fractional-order PID controller and its time domain representation are described and analyzed. The step response of the fractional-order PID approximation shows a faster and stable regulation capacity. The comparison between typical PID controllers and the non-integer PID controller is provided to quantify the regulation speed introduced by the fractional-order PID approximation. Numerical simulations are provided to corroborate the effectiveness of the non-integer PID controller.

Keywords: DC–DC converter; fractional control; frequency response; power electronics (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2020
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