A decoupling-based multivariable H8 controller for PMSM speed and current regulation.

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Title: A decoupling-based multivariable H8 controller for PMSM speed and current regulation.
Authors: Oudjama, Farid1,2 faridoudjama@gmail.com, Messirdi, Mohammed3, Bourdim, Mokhtar4, Boumediene, Abdelmadjid3
Source: Telkomnika. Feb2026, Vol. 24 Issue 1, p293-301. 9p.
Subjects: Multivariable control systems, Permanent magnet motors, Robust control, Field orientation principle, Feedback control systems, Motor vehicles
Abstract: High precision speed regulation of the permanent magnet synchronous motor (PMSM) is a critical challenge in modern industrial applications, including electric vehicles and traction systems. This task is significantly affected by external disturbances, such as variable load torque, as well as physical phenomena often neglected in analytical models, such as magnetic circuit saturation or thermal variations in electrical parameters. In this context, conventional control methods often fail to ensure both dynamic performance and robustness. This paper proposes a multivariable H∞ control strategy based on field-oriented control (FOC) and d/q decoupling to design a robust and high-performance controller. The diagonal multiple-input multiple-output (MIMO) model, linking the direct-axis voltagevd to the current id and the quadrature-axis voltage vq to the rotational speed wr, is derived directly from the decoupling principles of FOC, without relying on linearization around an operating point or modeling of parametric uncertainties. The H∞ controller is synthesized using the standard configuration, with carefully selected weighting functions to ensure dynamic performance, closed-loop stability, and effective disturbance rejection. Numerical simulations demonstrate that the proposed controller achieves accurate speed reference tracking, fine current regulation, and fast load disturbance rejection, confirming its effectiveness and robustness. This approach provides an advanced alternative to conventional control methods by fully exploiting the multivariable structure of the system. [ABSTRACT FROM AUTHOR]
Copyright of Telkomnika is the property of Department of Electrical Engineering, Ahmad Dahlan University 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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An: 192065420
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  Data: A decoupling-based multivariable H8 controller for PMSM speed and current regulation.
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  Data: <searchLink fieldCode="AR" term="%22Oudjama%2C+Farid%22">Oudjama, Farid</searchLink><relatesTo>1,2</relatesTo><i> faridoudjama@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Messirdi%2C+Mohammed%22">Messirdi, Mohammed</searchLink><relatesTo>3</relatesTo><br /><searchLink fieldCode="AR" term="%22Bourdim%2C+Mokhtar%22">Bourdim, Mokhtar</searchLink><relatesTo>4</relatesTo><br /><searchLink fieldCode="AR" term="%22Boumediene%2C+Abdelmadjid%22">Boumediene, Abdelmadjid</searchLink><relatesTo>3</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Telkomnika%22">Telkomnika</searchLink>. Feb2026, Vol. 24 Issue 1, p293-301. 9p.
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  Data: <searchLink fieldCode="DE" term="%22Multivariable+control+systems%22">Multivariable control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Permanent+magnet+motors%22">Permanent magnet motors</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink><br /><searchLink fieldCode="DE" term="%22Field+orientation+principle%22">Field orientation principle</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Motor+vehicles%22">Motor vehicles</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: High precision speed regulation of the permanent magnet synchronous motor (PMSM) is a critical challenge in modern industrial applications, including electric vehicles and traction systems. This task is significantly affected by external disturbances, such as variable load torque, as well as physical phenomena often neglected in analytical models, such as magnetic circuit saturation or thermal variations in electrical parameters. In this context, conventional control methods often fail to ensure both dynamic performance and robustness. This paper proposes a multivariable H∞ control strategy based on field-oriented control (FOC) and d/q decoupling to design a robust and high-performance controller. The diagonal multiple-input multiple-output (MIMO) model, linking the direct-axis voltagevd to the current id and the quadrature-axis voltage vq to the rotational speed wr, is derived directly from the decoupling principles of FOC, without relying on linearization around an operating point or modeling of parametric uncertainties. The H∞ controller is synthesized using the standard configuration, with carefully selected weighting functions to ensure dynamic performance, closed-loop stability, and effective disturbance rejection. Numerical simulations demonstrate that the proposed controller achieves accurate speed reference tracking, fine current regulation, and fast load disturbance rejection, confirming its effectiveness and robustness. This approach provides an advanced alternative to conventional control methods by fully exploiting the multivariable structure of the system. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Telkomnika is the property of Department of Electrical Engineering, Ahmad Dahlan University 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: 10.12928/TELKOMNIKA.v24i1.27515
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      – Code: eng
        Text: English
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        PageCount: 9
        StartPage: 293
    Subjects:
      – SubjectFull: Multivariable control systems
        Type: general
      – SubjectFull: Permanent magnet motors
        Type: general
      – SubjectFull: Robust control
        Type: general
      – SubjectFull: Field orientation principle
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
      – SubjectFull: Motor vehicles
        Type: general
    Titles:
      – TitleFull: A decoupling-based multivariable H8 controller for PMSM speed and current regulation.
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            NameFull: Oudjama, Farid
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            NameFull: Messirdi, Mohammed
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            NameFull: Bourdim, Mokhtar
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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