Extended observer form with vector fields

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Titel: Extended observer form with vector fields
Autoren: Mullari, Tanel (author), Kotta, Ülle (author), Kaldmäe, Arvo (author), Kaparin, Vadim (author), Simha, A. (author)
Quelle: International Journal of Control. 97:2399-2412
Verlagsinformationen: Informa UK Limited, 2023.
Publikationsjahr: 2023
Schlagwörter: parametrised state transformation, Discrete-time system, nonlinear control system, extended observer form, algebraic approach
Beschreibung: This paper addresses the problem of transforming a single-input single-output discrete-time system into the extended observer form which comprises a linear observable component and a nonlinear injection term depending on the input, output and their forward shifts up to a finite order. The necessary and sufficient conditions for the existence of the extended observer form are provided in terms of vector fields. The algorithm is presented to find a parametrised state transformation necessary to transform the system into the extended observer form. The obtained results are applicable also in case of non-reversible systems. ; Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. ; Networked Systems
Publikationsart: Article
Sprache: English
ISSN: 1366-5820
0020-7179
DOI: 10.1080/00207179.2023.2274060
Dokumentencode: edsair.doi.dedup.....f9a2e867aa59a9f35d78d2187737766c
Datenbank: OpenAIRE
Beschreibung
Abstract:This paper addresses the problem of transforming a single-input single-output discrete-time system into the extended observer form which comprises a linear observable component and a nonlinear injection term depending on the input, output and their forward shifts up to a finite order. The necessary and sufficient conditions for the existence of the extended observer form are provided in terms of vector fields. The algorithm is presented to find a parametrised state transformation necessary to transform the system into the extended observer form. The obtained results are applicable also in case of non-reversible systems. ; Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. ; Networked Systems
ISSN:13665820
00207179
DOI:10.1080/00207179.2023.2274060