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Robust Hierarchical Identification of Hammerstein Systems With Latent Time‐Delay.

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Title: Robust Hierarchical Identification of Hammerstein Systems With Latent Time‐Delay.
Authors: Mao, Yawen1 (AUTHOR) myw0530@163.com, Pan, Yaofei1 (AUTHOR), Xu, Chen2 (AUTHOR), Tan, Zhihao1 (AUTHOR), Chen, Yifan1 (AUTHOR), Ruan, Leyan1 (AUTHOR), Sun, Zeyu1 (AUTHOR)
Source: International Journal of Robust & Nonlinear Control. 7/25/2026, Vol. 36 Issue 11, p5766-5783. 18p.
Subjects: Least squares, Time delay estimation, Robust statistics, Outlier detection, Parameter estimation, Adaptive signal processing, Algorithms, Nonlinear systems
Abstract: In order to identify a class of Hammerstein systems characterized by latent time‐delay based on the data containing outliers, a robust identification method called hierarchical re‐weighted least angle regression‐least squares (RW‐LAR‐LS) algorithm is proposed. First, a decomposition based LAR algorithm is proposed to efficiently and accurately determine the time‐delay by introducing the largest input regression length. Then, a matrix whose elements are adaptively adjusted by the designed rule is integrated into the LS algorithm to reduce the impact of outliers, achieving highly accurate parameter estimates. The proposed RW‐LAR‐LS algorithm is efficient and more robust to the outliers and has better parameter and delay estimation performance compared to the over‐parameterized LS algorithm and the LAR‐LS algorithm. A numerical example and a heat exchange system are provided to demonstrate the effectiveness of the proposed algorithm. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Robust & Nonlinear Control is the property of Wiley-Blackwell 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.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 194403472
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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Items – Name: Title
  Label: Title
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  Data: Robust Hierarchical Identification of Hammerstein Systems With Latent Time‐Delay.
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  Data: <searchLink fieldCode="AR" term="%22Mao%2C+Yawen%22">Mao, Yawen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> myw0530@163.com</i><br /><searchLink fieldCode="AR" term="%22Pan%2C+Yaofei%22">Pan, Yaofei</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xu%2C+Chen%22">Xu, Chen</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Tan%2C+Zhihao%22">Tan, Zhihao</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Chen%2C+Yifan%22">Chen, Yifan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ruan%2C+Leyan%22">Ruan, Leyan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Sun%2C+Zeyu%22">Sun, Zeyu</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Robust+%26+Nonlinear+Control%22">International Journal of Robust & Nonlinear Control</searchLink>. 7/25/2026, Vol. 36 Issue 11, p5766-5783. 18p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Least+squares%22">Least squares</searchLink><br /><searchLink fieldCode="DE" term="%22Time+delay+estimation%22">Time delay estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+statistics%22">Robust statistics</searchLink><br /><searchLink fieldCode="DE" term="%22Outlier+detection%22">Outlier detection</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink><br /><searchLink fieldCode="DE" term="%22Adaptive+signal+processing%22">Adaptive signal processing</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In order to identify a class of Hammerstein systems characterized by latent time‐delay based on the data containing outliers, a robust identification method called hierarchical re‐weighted least angle regression‐least squares (RW‐LAR‐LS) algorithm is proposed. First, a decomposition based LAR algorithm is proposed to efficiently and accurately determine the time‐delay by introducing the largest input regression length. Then, a matrix whose elements are adaptively adjusted by the designed rule is integrated into the LS algorithm to reduce the impact of outliers, achieving highly accurate parameter estimates. The proposed RW‐LAR‐LS algorithm is efficient and more robust to the outliers and has better parameter and delay estimation performance compared to the over‐parameterized LS algorithm and the LAR‐LS algorithm. A numerical example and a heat exchange system are provided to demonstrate the effectiveness of the proposed algorithm. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Robust & Nonlinear Control is the property of Wiley-Blackwell 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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RecordInfo BibRecord:
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        Value: 10.1002/rnc.70546
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 18
        StartPage: 5766
    Subjects:
      – SubjectFull: Least squares
        Type: general
      – SubjectFull: Time delay estimation
        Type: general
      – SubjectFull: Robust statistics
        Type: general
      – SubjectFull: Outlier detection
        Type: general
      – SubjectFull: Parameter estimation
        Type: general
      – SubjectFull: Adaptive signal processing
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Nonlinear systems
        Type: general
    Titles:
      – TitleFull: Robust Hierarchical Identification of Hammerstein Systems With Latent Time‐Delay.
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            NameFull: Mao, Yawen
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            NameFull: Pan, Yaofei
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            NameFull: Xu, Chen
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            NameFull: Chen, Yifan
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            – D: 25
              M: 07
              Text: 7/25/2026
              Type: published
              Y: 2026
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              Value: 36
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            – TitleFull: International Journal of Robust & Nonlinear Control
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