Adaptive Backstepping Position Control of Direct-Drive Electro-Hydrostatic Actuator Based on Barrier Lyapunov Function.

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Title: Adaptive Backstepping Position Control of Direct-Drive Electro-Hydrostatic Actuator Based on Barrier Lyapunov Function.
Authors: Peng, Mingshuo1 pengmingshuo@hotmail.com, Chen, Lixun1 ChenLixun_sdut@163.com, Wei, Qingkun1 weiqingkun_sdut@163.com, Tan, Cao2 njusttancao@yeah.net
Source: IAENG International Journal of Applied Mathematics. Feb2026, Vol. 56 Issue 2, p649-657. 9p.
Subjects: Backstepping control method, Lyapunov functions, Nonlinear control theory, Stability of linear systems, Uncertain systems, Dynamic stability, Hydraulic drive, Adaptive control systems
Abstract: With the advantages of high energy efficiency and high integration, direct-drive electro-hydrostatic actuators (DEHAs) represent an important development direction for hydraulic actuation systems. To address uncertainties in system parameters, this paper proposes a nonlinear adaptive backstepping control (ABC) method based on barrier Lyapunov functions. A state-space model of the DEHA system is established. Barrier Lyapunov functions are incorporated into the backstepping design to enforce output constraints, and constraint boundaries are introduced to guarantee the output performance of the system. An adaptive law for uncertain parameters is developed to compensate parameter disturbances in real time. The stability of the closed-loop system is rigorously analyzed. The effectiveness of the proposed controller is validated on a direct-drive electro-hydrostatic actuator experimental platform. The results show that the proposed ABC method achieves faster response, higher control accuracy, and stronger robustness compared with the traditional PI controller and direct backstepping control (DBC). [ABSTRACT FROM AUTHOR]
Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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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  Label: Title
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  Data: Adaptive Backstepping Position Control of Direct-Drive Electro-Hydrostatic Actuator Based on Barrier Lyapunov Function.
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  Data: <searchLink fieldCode="AR" term="%22Peng%2C+Mingshuo%22">Peng, Mingshuo</searchLink><relatesTo>1</relatesTo><i> pengmingshuo@hotmail.com</i><br /><searchLink fieldCode="AR" term="%22Chen%2C+Lixun%22">Chen, Lixun</searchLink><relatesTo>1</relatesTo><i> ChenLixun_sdut@163.com</i><br /><searchLink fieldCode="AR" term="%22Wei%2C+Qingkun%22">Wei, Qingkun</searchLink><relatesTo>1</relatesTo><i> weiqingkun_sdut@163.com</i><br /><searchLink fieldCode="AR" term="%22Tan%2C+Cao%22">Tan, Cao</searchLink><relatesTo>2</relatesTo><i> njusttancao@yeah.net</i>
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  Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Feb2026, Vol. 56 Issue 2, p649-657. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Backstepping+control+method%22">Backstepping control method</searchLink><br /><searchLink fieldCode="DE" term="%22Lyapunov+functions%22">Lyapunov functions</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+control+theory%22">Nonlinear control theory</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+of+linear+systems%22">Stability of linear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Uncertain+systems%22">Uncertain systems</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+stability%22">Dynamic stability</searchLink><br /><searchLink fieldCode="DE" term="%22Hydraulic+drive%22">Hydraulic drive</searchLink><br /><searchLink fieldCode="DE" term="%22Adaptive+control+systems%22">Adaptive control systems</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: With the advantages of high energy efficiency and high integration, direct-drive electro-hydrostatic actuators (DEHAs) represent an important development direction for hydraulic actuation systems. To address uncertainties in system parameters, this paper proposes a nonlinear adaptive backstepping control (ABC) method based on barrier Lyapunov functions. A state-space model of the DEHA system is established. Barrier Lyapunov functions are incorporated into the backstepping design to enforce output constraints, and constraint boundaries are introduced to guarantee the output performance of the system. An adaptive law for uncertain parameters is developed to compensate parameter disturbances in real time. The stability of the closed-loop system is rigorously analyzed. The effectiveness of the proposed controller is validated on a direct-drive electro-hydrostatic actuator experimental platform. The results show that the proposed ABC method achieves faster response, higher control accuracy, and stronger robustness compared with the traditional PI controller and direct backstepping control (DBC). [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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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    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 9
        StartPage: 649
    Subjects:
      – SubjectFull: Backstepping control method
        Type: general
      – SubjectFull: Lyapunov functions
        Type: general
      – SubjectFull: Nonlinear control theory
        Type: general
      – SubjectFull: Stability of linear systems
        Type: general
      – SubjectFull: Uncertain systems
        Type: general
      – SubjectFull: Dynamic stability
        Type: general
      – SubjectFull: Hydraulic drive
        Type: general
      – SubjectFull: Adaptive control systems
        Type: general
    Titles:
      – TitleFull: Adaptive Backstepping Position Control of Direct-Drive Electro-Hydrostatic Actuator Based on Barrier Lyapunov Function.
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            NameFull: Peng, Mingshuo
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            NameFull: Chen, Lixun
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            NameFull: Wei, Qingkun
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            NameFull: Tan, Cao
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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