0.5和0.25阶分数阶积分器模拟建模的新方法

2011 16th International Conference on Methods & Models in Automation & Robotics Pub Date : 2011-09-29 DOI:10.1109/MMAR.2011.6031332

D. Sierociuk, A. Dzieliński

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引用次数: 38

摘要

本文提出了一种分数阶积分器模拟建模的新方法。特别讨论了两种特殊情况，即α = 0.25阶和α = 0.5阶的积分器。该方法基于不合理传递函数的多米诺梯近似。它允许仅使用电阻器和电容器等标准生产值的电气元件获得模拟模型。

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New method of fractional order integrator analog modeling for orders 0.5 and 0.25

In the paper a novel method of analog modeling of fractional order integrators is presented. In particular, two special cases are discussed, i.e. integrators of order α = 0.25, and α = 0.5. The method proposed is based on the domino ladder approximation of irrational transfer function. It allows to obtain an analog model using only electric elements like resistors and capacitors of standard produced values.

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2011 16th International Conference on Methods & Models in Automation & Robotics

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