arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2401.01263eess.SYcs.SY
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开环和闭环中加性连续时间系统的辨识

Identification of Additive Continuous-time Systems in Open and Closed loop

Rodrigo A. González, Koen Classens, Cristian R. Rojas, James S. Welsh, Tom Oomen

AI总结:

本文提出一种新颖的连续时间系统辨识方法,可为开环和闭环设置提供加性模型,估计量具有通用一致性且能辨识临界稳定系统,数值仿真和实验数据验证了其有效性。

摘要:

在辨识电气、机械或生物系统时,若模型结构与系统物理特性一致,参数化连续时间辨识方法可生成可解释且简约的模型。传统线性系统辨识在仅依赖未分解传递函数时,可能无法获得最简约模型,这类传递函数通常源于标准直接方法。本文提出一种新颖的辨识方法,可为开环和闭环设置提供加性模型。所推导的估计量被证明具有通用一致性,且允许对临界稳定的加性系统进行辨识。数值仿真表明了所提方法的有效性,并利用实验数据验证了其在辨识柔性梁模态表示时的性能。

英文摘要:

When identifying electrical, mechanical, or biological systems, parametric continuous-time identification methods can lead to interpretable and parsimonious models when the model structure aligns with the physical properties of the system. Traditional linear system identification may not consider the most parsimonious model when relying solely on unfactored transfer functions, which typically result from standard direct approaches. This paper presents a novel identification method that delivers additive models for both open and closed-loop setups. The estimators that are derived are shown to be generically consistent, and can admit the identification of marginally stable additive systems. Numerical simulations show the efficacy of the proposed approach, and its performance in identifying a modal representation of a flexible beam is verified using experimental data.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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