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doi:10.22028/D291-37202
Title: | Parametrization of algebraic differentiators for disturbance annihilation with an application to the differentiation of quantized signals |
Author(s): | Othmane, Amine Mounier, Hugues Rudolph, Joachim |
Editor(s): | Sepulchre, Rodolphe |
Language: | English |
Title: | IFAC-PapersOnLine |
Volume: | 54 |
Issue: | 9 |
Startpage: | 335 |
Endpage: | 340 |
Year of Publication: | 2021 |
Place of the conference: | Cambridge, United Kingdom |
Free key words: | numerical differentiation quantized signals algebraic differentiators annihilation of repetitive peaks |
DDC notations: | 600 Technology |
Publikation type: | Conference Paper |
Abstract: | A 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. |
DOI of the first publication: | 10.1016/j.ifacol.2021.06.091 |
URL of the first publication: | https://www.sciencedirect.com/science/article/pii/S2405896321005541 |
Link to this record: | urn:nbn:de:bsz:291--ds-372020 hdl:20.500.11880/33746 http://dx.doi.org/10.22028/D291-37202 |
ISSN: | 2405-8963 |
Date of registration: | 14-Sep-2022 |
Notes: | IFAC-PapersOnLine, Volume 54, Issue 9, 2021, Pages 335-340 |
Faculty: | NT - Naturwissenschaftlich- Technische Fakultät |
Department: | NT - Systems Engineering |
Professorship: | NT - Prof. Dr. Joachim Rudolph |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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