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Closed-loop continuous-time Laguerre-based subspace identification via orthogonal projection approach.

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Title: Closed-loop continuous-time Laguerre-based subspace identification via orthogonal projection approach.
Authors: Yu, Miao1 (AUTHOR) yumiao@qhd.neu.edu.cn, Jia, Yihao1 (AUTHOR), Wang, Wanli1 (AUTHOR), Gao, Zhenyu1 (AUTHOR)
Source: Transactions of the Institute of Measurement & Control. Dec2025, Vol. 47 Issue 16, p3141-3148. 8p.
Subjects: Subspace identification (Mathematics), Continuous time systems, Principal components analysis, Orthographic projection, Instrumental variables (Statistics), Matrices (Mathematics), Feedback control systems
Abstract: This paper presents a closed-loop Laguerre-based subspace identification method for continuous-time systems via orthogonal projection approach. A bank of Laguerre filters operating in the all-pass domain, which is capable of handling the non-equidistant data, is used to get the input–output matrix equation of the systems. We put the emphasis on the parity space opposed to the observable subspace. The instrumental variable method and principal component analysis estimate the system consistently, solving the issue of biased estimate for the closed-loop operation of the system caused by the feedback controller. The simulation results demonstrate the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]
Copyright of Transactions of the Institute of Measurement & Control is the property of Sage Publications, Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
An: 189687685
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PubTypeId: academicJournal
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  Data: Closed-loop continuous-time Laguerre-based subspace identification via orthogonal projection approach.
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  Data: <searchLink fieldCode="JN" term="%22Transactions+of+the+Institute+of+Measurement+%26+Control%22">Transactions of the Institute of Measurement & Control</searchLink>. Dec2025, Vol. 47 Issue 16, p3141-3148. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Subspace+identification+%28Mathematics%29%22">Subspace identification (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Continuous+time+systems%22">Continuous time systems</searchLink><br /><searchLink fieldCode="DE" term="%22Principal+components+analysis%22">Principal components analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Orthographic+projection%22">Orthographic projection</searchLink><br /><searchLink fieldCode="DE" term="%22Instrumental+variables+%28Statistics%29%22">Instrumental variables (Statistics)</searchLink><br /><searchLink fieldCode="DE" term="%22Matrices+%28Mathematics%29%22">Matrices (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink>
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  Data: This paper presents a closed-loop Laguerre-based subspace identification method for continuous-time systems via orthogonal projection approach. A bank of Laguerre filters operating in the all-pass domain, which is capable of handling the non-equidistant data, is used to get the input–output matrix equation of the systems. We put the emphasis on the parity space opposed to the observable subspace. The instrumental variable method and principal component analysis estimate the system consistently, solving the issue of biased estimate for the closed-loop operation of the system caused by the feedback controller. The simulation results demonstrate the effectiveness of the proposed approach. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Transactions of the Institute of Measurement & Control is the property of Sage Publications, Ltd. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1177/01423312241276330
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 8
        StartPage: 3141
    Subjects:
      – SubjectFull: Subspace identification (Mathematics)
        Type: general
      – SubjectFull: Continuous time systems
        Type: general
      – SubjectFull: Principal components analysis
        Type: general
      – SubjectFull: Orthographic projection
        Type: general
      – SubjectFull: Instrumental variables (Statistics)
        Type: general
      – SubjectFull: Matrices (Mathematics)
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
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      – TitleFull: Closed-loop continuous-time Laguerre-based subspace identification via orthogonal projection approach.
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            NameFull: Yu, Miao
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            NameFull: Jia, Yihao
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            NameFull: Wang, Wanli
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            NameFull: Gao, Zhenyu
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            – D: 01
              M: 12
              Text: Dec2025
              Type: published
              Y: 2025
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              Value: 47
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