分数阶微分的推导

M. Hasan
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引用次数: 0

摘要

分数阶微分器已成功应用于分数阶PID控制器、信号处理和图像处理中。本文发展了IIR分数阶微分器。具体来说,有理形式的分数阶延迟滤波器通过将平方根page近似与Simpson’s和Boole’s微分算子结合来近似分数阶微分。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Derivation of fractional order differentiators
Fractional order differentiator has been applied successfully to fractional order PID controller, signal processing, and image processing. In this paper IIR fractional differentiators are developed. Specifically, fractional delay filters in rational form are used to approximate fractional differentiators by incorporating square root Pade approximants with Simpson's and Boole's' differential operators.
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