View in EDS HTML Full Text PDF Full Text

Fractional‐order active disturbance rejection repetitive control for fractional‐order systems.

Saved in:
Bibliographic Details
Title: Fractional‐order active disturbance rejection repetitive control for fractional‐order systems.
Authors: Lan, Yong‐Hong1 (AUTHOR) yhlan@xtu.edu.cn, Tao, Xi‐Yu1 (AUTHOR), Ding, Lei2 (AUTHOR)
Source: Asian Journal of Control. May2026, Vol. 28 Issue 3, p1245-1257. 13p.
Subjects: Fractional calculus, Tracking control systems, Control theory (Engineering), Robust control, Stability theory, Observability (Control theory)
Abstract: This paper investigates the problem of fractional‐order active disturbance rejection repetitive control (FADRRC) for a class of fractional‐order systems with unknown external disturbances. The proposed controller enhances the robustness and tracking performance of the classical active disturbance rejection control, especially for the periodic reference signals. A fractional‐order extended state observer (FESO) is first incorporated into the repetitive controller to estimate both the fractional‐order system state and the unknown external disturbances. Next, the linear bandwidth‐parameterization method is used to tune the parameters of both the controller gain and the gain of the observer. Then, the design problem of the FADRRC law is transformed into the stability problem of the fractional‐order system. Sufficient stability conditions are derived in terms of the small gain theorem. Finally, numerical simulation results demonstrate the effectiveness of the proposed method. [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.)
Database: Engineering Source
Full text is not displayed to guests.
FullText Links:
  – Type: pdflink
Text:
  Availability: 1
Header DbId: egs
DbLabel: Engineering Source
An: 193710620
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Fractional‐order active disturbance rejection repetitive control for fractional‐order systems.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Lan%2C+Yong‐Hong%22">Lan, Yong‐Hong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> yhlan@xtu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Tao%2C+Xi‐Yu%22">Tao, Xi‐Yu</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Ding%2C+Lei%22">Ding, Lei</searchLink><relatesTo>2</relatesTo> (AUTHOR)
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. May2026, Vol. 28 Issue 3, p1245-1257. 13p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Tracking+control+systems%22">Tracking control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Control+theory+%28Engineering%29%22">Control theory (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Observability+%28Control+theory%29%22">Observability (Control theory)</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper investigates the problem of fractional‐order active disturbance rejection repetitive control (FADRRC) for a class of fractional‐order systems with unknown external disturbances. The proposed controller enhances the robustness and tracking performance of the classical active disturbance rejection control, especially for the periodic reference signals. A fractional‐order extended state observer (FESO) is first incorporated into the repetitive controller to estimate both the fractional‐order system state and the unknown external disturbances. Next, the linear bandwidth‐parameterization method is used to tune the parameters of both the controller gain and the gain of the observer. Then, the design problem of the FADRRC law is transformed into the stability problem of the fractional‐order system. Sufficient stability conditions are derived in terms of the small gain theorem. Finally, numerical simulation results demonstrate the effectiveness of the proposed method. [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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193710620
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/asjc.3723
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: 1245
    Subjects:
      – SubjectFull: Fractional calculus
        Type: general
      – SubjectFull: Tracking control systems
        Type: general
      – SubjectFull: Control theory (Engineering)
        Type: general
      – SubjectFull: Robust control
        Type: general
      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: Observability (Control theory)
        Type: general
    Titles:
      – TitleFull: Fractional‐order active disturbance rejection repetitive control for fractional‐order systems.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Lan, Yong‐Hong
      – PersonEntity:
          Name:
            NameFull: Tao, Xi‐Yu
      – PersonEntity:
          Name:
            NameFull: Ding, Lei
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 05
              Text: May2026
              Type: published
              Y: 2026
          Identifiers:
            – Type: issn-print
              Value: 15618625
          Numbering:
            – Type: volume
              Value: 28
            – Type: issue
              Value: 3
          Titles:
            – TitleFull: Asian Journal of Control
              Type: main
ResultId 1