Robust output regulation for continuous‐time linear time‐invariant systems with dynamic controllers: A data‐driven approach.

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Title: Robust output regulation for continuous‐time linear time‐invariant systems with dynamic controllers: A data‐driven approach.
Authors: Ren, Peng1 (AUTHOR), Hao, Yuqing1 (AUTHOR) haoyq@buaa.edu.cn, Sun, Zhiyong2 (AUTHOR), Wang, Qingyun1 (AUTHOR), Xu, Tao3,4 (AUTHOR)
Source: Asian Journal of Control. Mar2026, Vol. 28 Issue 2, p859-873. 15p.
Subjects: Continuous time systems, Linear time invariant systems, Numerical analysis, Robust control, Control theory (Engineering), Tracking control systems
Abstract: This paper investigates the robust output regulation problem of continuous‐time systems using the data‐driven approach. Compared with the most existing literature, which focuses on discrete‐time linear time‐invariant (LTI) systems, this paper considers the unknown continuous‐time endosystems and exosystems. Some necessary and sufficient conditions are proposed to ensure that the data can solve the robust output regulation problem under the persistency of excitation condition. When the persistency of excitation condition is not satisfied, new conditions within the data informativity framework are provided. Moreover, a data‐driven dynamic controller is designed. Finally, the effectiveness of the method is verified through some numerical simulations. [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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  Data: Robust output regulation for continuous‐time linear time‐invariant systems with dynamic controllers: A data‐driven approach.
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  Data: <searchLink fieldCode="AR" term="%22Ren%2C+Peng%22">Ren, Peng</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Hao%2C+Yuqing%22">Hao, Yuqing</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> haoyq@buaa.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Sun%2C+Zhiyong%22">Sun, Zhiyong</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Qingyun%22">Wang, Qingyun</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Xu%2C+Tao%22">Xu, Tao</searchLink><relatesTo>3,4</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. Mar2026, Vol. 28 Issue 2, p859-873. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Continuous+time+systems%22">Continuous time systems</searchLink><br /><searchLink fieldCode="DE" term="%22Linear+time+invariant+systems%22">Linear time invariant systems</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+analysis%22">Numerical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink><br /><searchLink fieldCode="DE" term="%22Control+theory+%28Engineering%29%22">Control theory (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Tracking+control+systems%22">Tracking control systems</searchLink>
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  Label: Abstract
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  Data: This paper investigates the robust output regulation problem of continuous‐time systems using the data‐driven approach. Compared with the most existing literature, which focuses on discrete‐time linear time‐invariant (LTI) systems, this paper considers the unknown continuous‐time endosystems and exosystems. Some necessary and sufficient conditions are proposed to ensure that the data can solve the robust output regulation problem under the persistency of excitation condition. When the persistency of excitation condition is not satisfied, new conditions within the data informativity framework are provided. Moreover, a data‐driven dynamic controller is designed. Finally, the effectiveness of the method is verified through some numerical simulations. [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.3696
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 859
    Subjects:
      – SubjectFull: Continuous time systems
        Type: general
      – SubjectFull: Linear time invariant systems
        Type: general
      – SubjectFull: Numerical analysis
        Type: general
      – SubjectFull: Robust control
        Type: general
      – SubjectFull: Control theory (Engineering)
        Type: general
      – SubjectFull: Tracking control systems
        Type: general
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      – TitleFull: Robust output regulation for continuous‐time linear time‐invariant systems with dynamic controllers: A data‐driven approach.
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            NameFull: Ren, Peng
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            NameFull: Hao, Yuqing
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            NameFull: Sun, Zhiyong
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            NameFull: Wang, Qingyun
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            NameFull: Xu, Tao
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            – D: 01
              M: 03
              Text: Mar2026
              Type: published
              Y: 2026
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              Value: 28
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            – TitleFull: Asian Journal of Control
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