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Fixed‐time convergence non‐singular disturbance rejection control for high‐order uncertain nonlinear systems.

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Title: Fixed‐time convergence non‐singular disturbance rejection control for high‐order uncertain nonlinear systems.
Authors: Gong, Chikun1 (AUTHOR), Wang, Yong1 (AUTHOR), Yuan, Lipeng2 (AUTHOR) hitylp@126.com
Source: Asian Journal of Control. Sep2026, Vol. 28 Issue 5, p2273-2287. 15p.
Subjects: Lyapunov functions, Backstepping control method, Inverted pendulum (Control theory), Control theory (Engineering), Nonlinear systems
Abstract: Traditional control methods for high‐order nonlinear systems often exhibit slow convergence and poor robustness. To address these challenges, this paper proposes a fixed‐time convergence non‐singular disturbance rejection control strategy tailored for high‐order nonlinear systems. First, by integrating power functions and exponential functions, a novel fixed‐time fast‐convergence Lyapunov function is constructed based on finite‐time control theory. This function guarantees a fixed upper bound for the system's convergence time, independent of the system's initial states. Compared to conventional finite‐time Lyapunov functions, the proposed approach achieves significantly faster convergence rates. Subsequently, this function is combined with a backstepping control strategy, and a nonlinear disturbance observer is employed to accurately estimate the combined effects of unknown disturbances and modeling errors. This method enhances the controller's response speed, improves disturbance rejection capabilities, and reduces steady‐state errors. Finally, the proposed control strategy is applied to an inverted pendulum system and a hydraulic servo system. Experimental results demonstrate that the proposed strategy offers significant performance advantages. [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: Fixed‐time convergence non‐singular disturbance rejection control for high‐order uncertain nonlinear systems.
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  Data: <searchLink fieldCode="AR" term="%22Gong%2C+Chikun%22">Gong, Chikun</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Wang%2C+Yong%22">Wang, Yong</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yuan%2C+Lipeng%22">Yuan, Lipeng</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> hitylp@126.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Asian+Journal+of+Control%22">Asian Journal of Control</searchLink>. Sep2026, Vol. 28 Issue 5, p2273-2287. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Lyapunov+functions%22">Lyapunov functions</searchLink><br /><searchLink fieldCode="DE" term="%22Backstepping+control+method%22">Backstepping control method</searchLink><br /><searchLink fieldCode="DE" term="%22Inverted+pendulum+%28Control+theory%29%22">Inverted pendulum (Control theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Control+theory+%28Engineering%29%22">Control theory (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Traditional control methods for high‐order nonlinear systems often exhibit slow convergence and poor robustness. To address these challenges, this paper proposes a fixed‐time convergence non‐singular disturbance rejection control strategy tailored for high‐order nonlinear systems. First, by integrating power functions and exponential functions, a novel fixed‐time fast‐convergence Lyapunov function is constructed based on finite‐time control theory. This function guarantees a fixed upper bound for the system's convergence time, independent of the system's initial states. Compared to conventional finite‐time Lyapunov functions, the proposed approach achieves significantly faster convergence rates. Subsequently, this function is combined with a backstepping control strategy, and a nonlinear disturbance observer is employed to accurately estimate the combined effects of unknown disturbances and modeling errors. This method enhances the controller's response speed, improves disturbance rejection capabilities, and reduces steady‐state errors. Finally, the proposed control strategy is applied to an inverted pendulum system and a hydraulic servo system. Experimental results demonstrate that the proposed strategy offers significant performance advantages. [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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    Identifiers:
      – Type: doi
        Value: 10.1002/asjc.3818
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 2273
    Subjects:
      – SubjectFull: Lyapunov functions
        Type: general
      – SubjectFull: Backstepping control method
        Type: general
      – SubjectFull: Inverted pendulum (Control theory)
        Type: general
      – SubjectFull: Control theory (Engineering)
        Type: general
      – SubjectFull: Nonlinear systems
        Type: general
    Titles:
      – TitleFull: Fixed‐time convergence non‐singular disturbance rejection control for high‐order uncertain nonlinear systems.
        Type: main
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            NameFull: Gong, Chikun
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            NameFull: Wang, Yong
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            NameFull: Yuan, Lipeng
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          Dates:
            – D: 01
              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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            – Type: issn-print
              Value: 15618625
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              Value: 28
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              Value: 5
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            – TitleFull: Asian Journal of Control
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