文章基本信息

标题：Parametrization of algebraic differentiators for disturbance annihilation with an application to the differentiation of quantized signals ⁎ ⁎
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作者：A. Othmane ; H. Mounier ; J. Rudolph 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2021
卷号：54
期号：9
页码：335-340
DOI：10.1016/j.ifacol.2021.06.091
语种：English
出版社：Elsevier
摘要：AbstractA method for the systematic parametrization of algebraic differentiators is introduced. It allows the annihilation of disturbances having transfer functions exhibiting repetitive peaks. Using McMahon's expansion for large zeros of Bessel functions, an approach reducing the number of free parameters of the differentiators from five to one is derived. The choice of the parameters is discussed in detail, and the existence of the parametrization for any such disturbance is proven. Error bounds for the annihilation of the repetitive peaks are also derived. The practical applicability of the approach is demonstrated in an experimental case study where the derivative of a quantized signal is numerically estimated using only an algebraic differentiator. A deterministic model for the quantization error which shows repetitive peaks in its transfer function is also proposed.
关键词：Keywordsnumerical differentiationquantized signalsalgebraic differentiatorsannihilation of repetitive peaks