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arXiv · 2203.02827

Data-driven input reconstruction and experimental validation

Jicheng Shi·Yingzhao Lian·Colin N. Jones
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Abstract

This paper addresses a data-driven input reconstruction problem based on Willems' Fundamental Lemma in which unknown input estimators (UIEs) are constructed directly from historical I/O data. Given only output measurements, the inputs are estimated by the UIE, which is shown to asymptotically converge to the true input without knowing the initial conditions. Both open-loop and closed-loop UIEs are developed based on Lyapunov conditions and the Luenberger-observer-type feedback, whose convergence properties are studied. An experimental study is presented demonstrating the efficacy of the closed-loop UIE for estimating the occupancy of a building on the EPFL campus via measured carbon dioxide levels.

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Jicheng Shi, Yingzhao Lian, Colin N. Jones. 2022-03-05. Data-driven input reconstruction and experimental validation. https://doi.org/10.1109/lcsys.2022.3184904

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