On the equivalence of model-based and data-driven approaches to the design of unknown-input observers
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909445004460032 |
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| author | Disarò, Giorgia Valcher, Maria Elena |
| author_facet | Disarò, Giorgia Valcher, Maria Elena |
| contents | In this paper we investigate a data-driven approach to the design of an unknown-input observer (UIO). Specifically, we provide necessary and sufficient conditions for the existence of an unknown-input observer for a discrete-time linear time-invariant (LTI) system, designed based only on some available data, obtained on a finite time window. We also prove that, under weak assumptions on the collected data, the solvability conditions derived by means of the data-driven approach are in fact equivalent to those obtained through the model-based one. In other words, the data-driven conditions do not impose further constraints with respect to the classic model-based ones, expressed in terms of the original system matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00673 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the equivalence of model-based and data-driven approaches to the design of unknown-input observers Disarò, Giorgia Valcher, Maria Elena Dynamical Systems In this paper we investigate a data-driven approach to the design of an unknown-input observer (UIO). Specifically, we provide necessary and sufficient conditions for the existence of an unknown-input observer for a discrete-time linear time-invariant (LTI) system, designed based only on some available data, obtained on a finite time window. We also prove that, under weak assumptions on the collected data, the solvability conditions derived by means of the data-driven approach are in fact equivalent to those obtained through the model-based one. In other words, the data-driven conditions do not impose further constraints with respect to the classic model-based ones, expressed in terms of the original system matrices. |
| title | On the equivalence of model-based and data-driven approaches to the design of unknown-input observers |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2311.00673 |