Data-Driven Reduced-Order Unknown-Input Observers
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916546248441856 |
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| author | Disarò, Giorgia Valcher, Maria Elena |
| author_facet | Disarò, Giorgia Valcher, Maria Elena |
| contents | In this paper we propose a data-driven approach to the design of reduced-order unknown-input observers (rUIOs). We first recall the model-based solution, by assuming a problem set-up slightly different from those traditionally adopted in the literature, in order to be able to easily adapt it to the data-driven scenario. Necessary and sufficient conditions for the existence of a reduced-order unknown-input observer, whose matrices can be derived from a sufficiently rich set of collected historical data, are first derived and then proved to be equivalent to the ones obtained in the model-based framework. Finally, a numerical example is presented, to validate the effectiveness of the proposed scheme. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_13471 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Data-Driven Reduced-Order Unknown-Input Observers Disarò, Giorgia Valcher, Maria Elena Dynamical Systems In this paper we propose a data-driven approach to the design of reduced-order unknown-input observers (rUIOs). We first recall the model-based solution, by assuming a problem set-up slightly different from those traditionally adopted in the literature, in order to be able to easily adapt it to the data-driven scenario. Necessary and sufficient conditions for the existence of a reduced-order unknown-input observer, whose matrices can be derived from a sufficiently rich set of collected historical data, are first derived and then proved to be equivalent to the ones obtained in the model-based framework. Finally, a numerical example is presented, to validate the effectiveness of the proposed scheme. |
| title | Data-Driven Reduced-Order Unknown-Input Observers |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2403.13471 |