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Abstract <p>Based on its unique memory characteristics, nonlinear characteristics, and nanoscale structure, fractional-order memristor has broad application value in many fields. So it has become a research hotspot in recent years. Firstly, this paper analyzed the waveforms of conductivity and voltage-current characteristic curves of fractional-order memristors with order changed in the time domain. Then, based on the particle swarm optimization algorithm combined with the Matlab function fminsearch(), the transfer function model of the fractional-order memristor was identified in the frequency domain. The identification effect was demonstrated to be good by fitting the curves and the value of the objective function. Finally, a fractional-order optimum <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11950_2025_7834_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\(P{{I}^{\lambda }}{{D}^{\mu }}\)</EquationSource> <!--AutCont2570045Chen-m1--> </InlineEquation> controller was designed for the fractional-order memristor model. By controlling indicators, it is demonstrated that the control effect is much better than integer-order <i>PID</i> control.</p>

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Modeling and Control Research of Fractional-Order Memristor Based on Optimization Algorithm in Frequency Domain

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Lanfeng Chen,
  • Dinyyu Xue,
  • Xinshu Cui

摘要

Abstract

Based on its unique memory characteristics, nonlinear characteristics, and nanoscale structure, fractional-order memristor has broad application value in many fields. So it has become a research hotspot in recent years. Firstly, this paper analyzed the waveforms of conductivity and voltage-current characteristic curves of fractional-order memristors with order changed in the time domain. Then, based on the particle swarm optimization algorithm combined with the Matlab function fminsearch(), the transfer function model of the fractional-order memristor was identified in the frequency domain. The identification effect was demonstrated to be good by fitting the curves and the value of the objective function. Finally, a fractional-order optimum \(P{{I}^{\lambda }}{{D}^{\mu }}\) controller was designed for the fractional-order memristor model. By controlling indicators, it is demonstrated that the control effect is much better than integer-order PID control.