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arXiv · 2403.15771

Small Noise Analysis of Non-Parametric Closed-Loop Identification

Mohamed Abdalmoaty·Roy S. Smith
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Abstract

We revisit the problem of non-parametric closed-loop identification in frequency domain; we give a brief survey of the literature and provide a small noise analysis of the direct, indirect, and joint input-output methods when two independent experiments with identical excitation are used. The analysis is asymptotic in the noise variance (i.e., as the standard deviation of the innovations $\sigma \to 0$), for a finite data record of length $N$. We highlight the relationship between the estimators accuracy and the loop shape via asymptotic variance expressions given in terms of the sensitivity function. The results are illustrated using a numerical simulation example.

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Mohamed Abdalmoaty, Roy S. Smith. 2024-03-23. Small Noise Analysis of Non-Parametric Closed-Loop Identification. https://arxiv.org/abs/2403.15771

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