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arXiv · 2311.00673

On the equivalence of model-based and data-driven approaches to the design of unknown-input observers

Giorgia Disarò·Maria Elena Valcher
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Abstract

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.

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Giorgia Disarò, Maria Elena Valcher. 2023-11-01. On the equivalence of model-based and data-driven approaches to the design of unknown-input observers. https://doi.org/10.1109/tac.2024.3482928

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