Discrete-Time Equivalent Homogeneous Differentiators

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandForschungBegutachtung

Abstract

This paper proposes an entirely new discrete-time realization of an arbitrary order robust exact differentiator. Its construction relies on the redesign of the differentiator in the discrete-time domain by means of a non-linear eigenvalue placement. The resulting algorithm is consistent with the continuous-time algorithm and preserves the best possible asymptotic accuracies known from the continuous-time differentiator. In contrast to the existing discretization schemes, the proposed schemes are exact in the sense that in the unperturbed case the differentiators ensure vanishing estimation errors. Limit cycles typically present in the error state variables enforced by the forward Euler discretized algorithm are avoided and the precision is insensitive to an overestimation of the gains.
Originalspracheenglisch
Titel2018 15th International Workshop on Variable Structure Systems (VSS)
Seiten354 - 359
DOIs
PublikationsstatusVeröffentlicht - 2018
Veranstaltung15th International Workshop on Variable Structure Systems - Graz University of Technology, Graz, Österreich
Dauer: 9 Jul 201811 Jul 2018

Konferenz

Konferenz15th International Workshop on Variable Structure Systems
KurztitelVSS 2018
LandÖsterreich
OrtGraz
Zeitraum9/07/1811/07/18

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Error analysis

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Koch, S., & Reichhartinger, M. (2018). Discrete-Time Equivalent Homogeneous Differentiators. in 2018 15th International Workshop on Variable Structure Systems (VSS) (S. 354 - 359) https://doi.org/10.1109/VSS.2018.8460284

Discrete-Time Equivalent Homogeneous Differentiators. / Koch, Stefan; Reichhartinger, Markus.

2018 15th International Workshop on Variable Structure Systems (VSS) . 2018. S. 354 - 359.

Publikation: Beitrag in Buch/Bericht/KonferenzbandBeitrag in einem KonferenzbandForschungBegutachtung

Koch, S & Reichhartinger, M 2018, Discrete-Time Equivalent Homogeneous Differentiators. in 2018 15th International Workshop on Variable Structure Systems (VSS) . S. 354 - 359, 15th International Workshop on Variable Structure Systems, Graz, Österreich, 9/07/18. https://doi.org/10.1109/VSS.2018.8460284
Koch S, Reichhartinger M. Discrete-Time Equivalent Homogeneous Differentiators. in 2018 15th International Workshop on Variable Structure Systems (VSS) . 2018. S. 354 - 359 https://doi.org/10.1109/VSS.2018.8460284
Koch, Stefan ; Reichhartinger, Markus. / Discrete-Time Equivalent Homogeneous Differentiators. 2018 15th International Workshop on Variable Structure Systems (VSS) . 2018. S. 354 - 359
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