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A Third order Semi-Implicit Homogeneous differentiator: Experimental Results

Abstract : It is well-known that implicit-based and projectorbased differentiator schemes offer better performances, like reducing high frequency oscillations, compared to the corresponding explicit schemes. To keep the advantages of such implicit Euler approximations, when this approximation is applied in case of homogeneous differentiators, a semi-implicit Euler approximation has been recently proposed for secondorder systems. In this paper, a generalization to third order semi-implicit differentiation is proposed taking into account the attenuation of the noise considering advanced iterative projectors definition. Validation on experimental data is conducted to highlight the well-founded of the proposed differentiation strategy.
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https://hal.archives-ouvertes.fr/hal-03751642
Contributor : Yannick Aoustin Connect in order to contact the contributor
Submitted on : Monday, August 15, 2022 - 11:38:45 AM
Last modification on : Tuesday, September 27, 2022 - 9:42:09 AM

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  • HAL Id : hal-03751642, version 1

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Loic Michel, Malek Ghanes, Yannick Aoustin, Jean-Pierre Barbot. A Third order Semi-Implicit Homogeneous differentiator: Experimental Results. International Workshop on Variable Structure Systems and Sliding Mode Control, Sep 2022, Rio de Janeiro, Brazil. ⟨hal-03751642⟩

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