Discrete-Time Equivalent Homogeneous Differentiators

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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.
Original languageEnglish
Title of host publication15th International Workshop on Variable Structure Systems (VSS)
Pages354 - 359
DOIs
Publication statusAccepted/In press - 2018
Event15th International Workshop on Variable Structure Systems - Graz University of Technology, Graz, Austria
Duration: 9 Jul 201811 Jul 2018

Conference

Conference15th International Workshop on Variable Structure Systems
Abbreviated titleVSS 2018
CountryAustria
CityGraz
Period9/07/1811/07/18

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

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

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

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

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