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  • 标题:On error analysis of a closed-loop subspace model identification method ⁎ ⁎
  • 本地全文:下载
  • 作者:Hiroshi Oku ; Kenji Ikeda
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2021
  • 卷号:54
  • 期号:9
  • 页码:701-706
  • DOI:10.1016/j.ifacol.2021.06.132
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThis paper studies error analysis and asymptotic variance of a closed-loop subspace model identification method for a system described with the output-error state-space representation. For details, since the procedure of the identification method includes the QR factorization of stacked data Hankel matrices, this study investigates asymptotic properties of block elements of the triangular matrix obtained from the QR factorization. The set of the block elements is separated into two components, namely, the signal-based component and the noise-based component. The contributions are to derive asymptotic properties of both components and to obtain the asymptotic covariance matrix of the vectorization of the noise-based component.
  • 关键词:KeywordsSystem identificationsubspace methodsclosed-loop identificationasymptotic propertiescovariance matrices
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