Extended observer form with vector fields
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| Title: | Extended observer form with vector fields |
|---|---|
| Authors: | Mullari, Tanel (author), Kotta, Ülle (author), Kaldmäe, Arvo (author), Kaparin, Vadim (author), Simha, A. (author) |
| Source: | International Journal of Control. 97:2399-2412 |
| Publisher Information: | Informa UK Limited, 2023. |
| Publication Year: | 2023 |
| Subject Terms: | parametrised state transformation, Discrete-time system, nonlinear control system, extended observer form, algebraic approach |
| Description: | 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 |
| Document Type: | Article |
| Language: | English |
| ISSN: | 1366-5820 0020-7179 |
| DOI: | 10.1080/00207179.2023.2274060 |
| Accession Number: | edsair.doi.dedup.....f9a2e867aa59a9f35d78d2187737766c |
| Database: | OpenAIRE |
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Nájsť tento článok vo Web of Science | 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 |
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| ISSN: | 13665820 00207179 |
| DOI: | 10.1080/00207179.2023.2274060 |