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In this brief, a fractional-order modeling and controller design method is proposed, which considers the fractional-order characteristic of output filtering capacitors. The characteristics of an order-a output filtering capacitor are considered in the model of a DC-DC Buck converter, thus its effects on the open-loop performance of the converter are analyzed. Besides, the resonant frequency of the converter is deduced with considering the fractional-order output filtering capacitor. By using the open-loop fractional-order model of the converter, the controller is designed by the method of zero/pole placement. The validity and superiority of the proposed method is verified by simulation and experiment.
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Fu et al. (2024) studied this question.
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