离散时间分数阶导数的有限近似

2011 16th International Conference on Methods & Models in Automation & Robotics Pub Date : 2011-09-29 DOI:10.1109/MMAR.2011.6031333

R. Stanisławski, W. Hunek, K. Latawiec

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引用次数: 15

摘要

本文给出了离散时间分数阶导数有限记忆建模的新结果。引入的归一化有限分数阶导数可以很好地逼近其原始分数阶导数，特别是在稳态性质方面。给出了有限阶导数的稳定性分析和递归计算算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finite approximations of a discrete-time fractional derivative

This paper presents new results in finite-memory modeling of a discrete-time fractional derivative. The introduced normalized finite fractional derivative is shown to properly approximate its fractional derivative original, in particular in terms of the steady-state properties. A stability analysis is also presented as well as a recursive computation algorithm is offered for finite fractional derivatives.

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来源期刊

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

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