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Second‐order PDα‐type iterative learning control for fractional‐order linear time‐delay switched systems with noise.

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Title: Second‐order PDα‐type iterative learning control for fractional‐order linear time‐delay switched systems with noise.
Authors: Sahu, DR1 (AUTHOR), Kumar Singh, Nitish1,2 (AUTHOR) nks271193@gmail.com
Source: Asian Journal of Control. Mar2026, Vol. 28 Issue 2, p603-617. 15p.
Subjects: Iterative learning control, Time delay systems, Noise measurement, Fractional calculus, Dynamical systems
Abstract: The purpose of the paper is to introduce a novel second‐order PD α$$ {}^{\alpha } $$‐type fractional‐order iterative learning control algorithm for a broad class of fractional‐order linear continuous‐time switched systems with time delay. The convergence of the proposed second‐order PD α$$ {}^{\alpha } $$‐type fractional‐order iterative learning control algorithm is analyzed in the absence of external noise. The robustness of the system is examined under bounded measurement noise. The proposed second‐order PD α$$ {}^{\alpha } $$‐type fractional‐order iterative learning control algorithm outperforms the first‐order counterpart studied by Zhang and Peng (2020) and classic PD‐type ILC. Simulation results demonstrate the effectiveness and feasibility of the proposed algorithm. [ABSTRACT FROM AUTHOR]
Copyright of Asian Journal of 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.)
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An: 192204743
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Second‐order PD<superscript>α</superscript>‐type iterative learning control for fractional‐order linear time‐delay switched systems with noise.
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  Data: <searchLink fieldCode="AR" term="%22Sahu%2C+DR%22">Sahu, DR</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Kumar+Singh%2C+Nitish%22">Kumar Singh, Nitish</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> nks271193@gmail.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. Mar2026, Vol. 28 Issue 2, p603-617. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Iterative+learning+control%22">Iterative learning control</searchLink><br /><searchLink fieldCode="DE" term="%22Time+delay+systems%22">Time delay systems</searchLink><br /><searchLink fieldCode="DE" term="%22Noise+measurement%22">Noise measurement</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamical+systems%22">Dynamical systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The purpose of the paper is to introduce a novel second‐order PD α$$ {}^{\alpha } $$‐type fractional‐order iterative learning control algorithm for a broad class of fractional‐order linear continuous‐time switched systems with time delay. The convergence of the proposed second‐order PD α$$ {}^{\alpha } $$‐type fractional‐order iterative learning control algorithm is analyzed in the absence of external noise. The robustness of the system is examined under bounded measurement noise. The proposed second‐order PD α$$ {}^{\alpha } $$‐type fractional‐order iterative learning control algorithm outperforms the first‐order counterpart studied by Zhang and Peng (2020) and classic PD‐type ILC. Simulation results demonstrate the effectiveness and feasibility of the proposed algorithm. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Asian Journal of 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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      – Type: doi
        Value: 10.1002/asjc.3674
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 603
    Subjects:
      – SubjectFull: Iterative learning control
        Type: general
      – SubjectFull: Time delay systems
        Type: general
      – SubjectFull: Noise measurement
        Type: general
      – SubjectFull: Fractional calculus
        Type: general
      – SubjectFull: Dynamical systems
        Type: general
    Titles:
      – TitleFull: Second‐order PDα‐type iterative learning control for fractional‐order linear time‐delay switched systems with noise.
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            NameFull: Sahu, DR
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            NameFull: Kumar Singh, Nitish
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            – D: 01
              M: 03
              Text: Mar2026
              Type: published
              Y: 2026
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              Value: 28
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              Value: 2
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            – TitleFull: Asian Journal of Control
              Type: main
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