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Generalized extended state observer‐based control for polynomial parameter‐varying systems with mismatched uncertainties.

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Title: Generalized extended state observer‐based control for polynomial parameter‐varying systems with mismatched uncertainties.
Authors: Yu, Lianchen1 (AUTHOR), Zeng, Jianping1 (AUTHOR) jpzeng@xmu.edu.cn
Source: Asian Journal of Control. Mar2026, Vol. 28 Issue 2, p815-830. 16p.
Subjects: Closed loop system stability, Lyapunov stability, Observability (Control theory), Dynamic stability, Uncertain systems, Feedback control systems, Convex programming
Abstract: This paper investigates the closed‐loop stability of generalized extended state observer‐based control (GESOBC) for polynomial parameter‐varying (PPV) systems with mismatched uncertainties under partially/completely unmeasurable states. A novel generalized extended state observer (GESO) is introduced, and new input‐to‐state stability (ISS) conditions for the closed‐loop system are derived‐based Lyapunov theory, expressed as state‐and‐parameter‐dependent matrix inequalities. Particularly, by constructing augmented vectors and applying a key lemma, the proposed method eliminates bilinear terms involving products of controller gain matrices with Lyapunov functions, as well as cross‐coupling terms between measurable and unmeasurable states. In addition, the resulting solvable conditions can be efficiently solved using sum‐of‐squares (SOS) convex optimization techniques. Notably, the developed framework neither requires the plant to satisfy standard integral‐chain structure nor demands uncertainty matching conditions. Furthermore, the separation principle holds between the controller and observer designs. Finally, two numerical examples validate the method's feasibility and effectiveness. [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: Generalized extended state observer‐based control for polynomial parameter‐varying systems with mismatched uncertainties.
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  Data: <searchLink fieldCode="AR" term="%22Yu%2C+Lianchen%22">Yu, Lianchen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Zeng%2C+Jianping%22">Zeng, Jianping</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jpzeng@xmu.edu.cn</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, p815-830. 16p.
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  Data: <searchLink fieldCode="DE" term="%22Closed+loop+system+stability%22">Closed loop system stability</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+stability%22">Lyapunov stability</searchLink><br /><searchLink fieldCode="DE" term="%22Observability+%28Control+theory%29%22">Observability (Control theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+stability%22">Dynamic stability</searchLink><br /><searchLink fieldCode="DE" term="%22Uncertain+systems%22">Uncertain systems</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+programming%22">Convex programming</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: This paper investigates the closed‐loop stability of generalized extended state observer‐based control (GESOBC) for polynomial parameter‐varying (PPV) systems with mismatched uncertainties under partially/completely unmeasurable states. A novel generalized extended state observer (GESO) is introduced, and new input‐to‐state stability (ISS) conditions for the closed‐loop system are derived‐based Lyapunov theory, expressed as state‐and‐parameter‐dependent matrix inequalities. Particularly, by constructing augmented vectors and applying a key lemma, the proposed method eliminates bilinear terms involving products of controller gain matrices with Lyapunov functions, as well as cross‐coupling terms between measurable and unmeasurable states. In addition, the resulting solvable conditions can be efficiently solved using sum‐of‐squares (SOS) convex optimization techniques. Notably, the developed framework neither requires the plant to satisfy standard integral‐chain structure nor demands uncertainty matching conditions. Furthermore, the separation principle holds between the controller and observer designs. Finally, two numerical examples validate the method's feasibility and effectiveness. [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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    Identifiers:
      – Type: doi
        Value: 10.1002/asjc.3690
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      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 16
        StartPage: 815
    Subjects:
      – SubjectFull: Closed loop system stability
        Type: general
      – SubjectFull: Lyapunov stability
        Type: general
      – SubjectFull: Observability (Control theory)
        Type: general
      – SubjectFull: Dynamic stability
        Type: general
      – SubjectFull: Uncertain systems
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
      – SubjectFull: Convex programming
        Type: general
    Titles:
      – TitleFull: Generalized extended state observer‐based control for polynomial parameter‐varying systems with mismatched uncertainties.
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            NameFull: Yu, Lianchen
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          Name:
            NameFull: Zeng, Jianping
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          Dates:
            – 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
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