Please use this identifier to cite or link to this item: doi:10.22028/D291-37201
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Title: Systematic comparison of numerical differentiators and an application to model-free control
Author(s): Othmane, Amine
Rudolph, Joachim
Mounier, Hugues
Language: English
Title: European journal of control
Volume: 62
Startpage: 113
Endpage: 119
Publisher/Platform: Elsevier
Year of Publication: 2021
Free key words: Numerical differentiation
Linear filtering
Orthogonal polynomials
Model-free control
DDC notations: 620 Engineering and machine engineering
Publikation type: Journal Article
Abstract: Recent tuning guidelines for algebraic differentiators based on the analysis of the Fourier transform of the kernels are reviewed. A region of validity for the previous analyses carried out for high frequencies is proposed and the results are related to those based on the analysis of the -norm of the Fourier transform of the differentiators. These results are then used for a systematic comparison with established approaches from the literature (homogeneous, high-gain and sliding mode differentiators) for the estimation of the second derivative of a known signal corrupted by a known disturbance. It is shown that properly tuned and discretized algebraic differentiators outperform the other analyzed approaches in terms of robustness, convergence time, and tuning simplicity. The tuning guidelines are then used in the context of control of a partially known system, thus bridging the gap to the tuning of recent model-free control approaches.
DOI of the first publication: 10.1016/j.ejcon.2021.06.020
URL of the first publication: https://www.sciencedirect.com/science/article/abs/pii/S0947358021000777
Link to this record: urn:nbn:de:bsz:291--ds-372010
hdl:20.500.11880/33745
http://dx.doi.org/10.22028/D291-37201
ISSN: 1435-5671
0947-3580
Date of registration: 14-Sep-2022
Faculty: NT - Naturwissenschaftlich- Technische Fakultät
Department: NT - Systems Engineering
Professorship: NT - Prof. Dr. Joachim Rudolph
Collections:Die Universitätsbibliographie

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