A Wideband Torque Control Method for Transmission System Based on Mixed Negative‐Imaginary and Finite‐Gain Method.

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Title: A Wideband Torque Control Method for Transmission System Based on Mixed Negative‐Imaginary and Finite‐Gain Method.
Authors: Cheng, Zhining1 (AUTHOR), He, Zhen1 (AUTHOR) hezhen@hit.edu.cn, Meng, Fanwei2 (AUTHOR) mengfanwei@neuq.edu.cn
Source: International Journal of Robust & Nonlinear Control. Jul2026, Vol. 36 Issue 10, p5430-5442. 13p.
Subjects: Robust stability analysis, Feedback control systems, Vibration isolation, Cascade control, Control theory (Engineering), Power transmission, Torque
Abstract: Broadening the control bandwidth is essential for improving the performance of transmission systems, but this is often limited by mechanical vibrations in the system. A novel wideband torque control method with a dual‐loop structure is proposed for bandwidth expansion and vibration suppression by exploiting negative imaginary system theory. Due to out‐of‐phase distribution and partial negative imaginary properties of the resonant modes, a robust stability analysis framework for feedback interconnections of linear time‐invariant mixed negative imaginary and finite gain systems is developed. Positive position feedback controllers are then designed in the damping loop to perform a phase shaping on the nominal system leading to an outstanding improvement in damping. An integral tracking controller is incorporated to ensure steady‐state accuracy in the outer‐loop, which can be independently designed focusing solely on stability, control bandwidth and transient performance. Simulation comparisons are conducted to verify the effectiveness and superiority of the proposed method in terms of vibration suppression and tracking performance. The achieved bandwidth exceeds the primary resonant frequency, demonstrating a competitive result among existing damping control methods. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Robust & Nonlinear 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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  Label: Title
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  Data: A Wideband Torque Control Method for Transmission System Based on Mixed Negative‐Imaginary and Finite‐Gain Method.
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  Data: <searchLink fieldCode="AR" term="%22Cheng%2C+Zhining%22">Cheng, Zhining</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22He%2C+Zhen%22">He, Zhen</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> hezhen@hit.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Meng%2C+Fanwei%22">Meng, Fanwei</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> mengfanwei@neuq.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Robust+%26+Nonlinear+Control%22">International Journal of Robust & Nonlinear Control</searchLink>. Jul2026, Vol. 36 Issue 10, p5430-5442. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Robust+stability+analysis%22">Robust stability analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Vibration+isolation%22">Vibration isolation</searchLink><br /><searchLink fieldCode="DE" term="%22Cascade+control%22">Cascade control</searchLink><br /><searchLink fieldCode="DE" term="%22Control+theory+%28Engineering%29%22">Control theory (Engineering)</searchLink><br /><searchLink fieldCode="DE" term="%22Power+transmission%22">Power transmission</searchLink><br /><searchLink fieldCode="DE" term="%22Torque%22">Torque</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Broadening the control bandwidth is essential for improving the performance of transmission systems, but this is often limited by mechanical vibrations in the system. A novel wideband torque control method with a dual‐loop structure is proposed for bandwidth expansion and vibration suppression by exploiting negative imaginary system theory. Due to out‐of‐phase distribution and partial negative imaginary properties of the resonant modes, a robust stability analysis framework for feedback interconnections of linear time‐invariant mixed negative imaginary and finite gain systems is developed. Positive position feedback controllers are then designed in the damping loop to perform a phase shaping on the nominal system leading to an outstanding improvement in damping. An integral tracking controller is incorporated to ensure steady‐state accuracy in the outer‐loop, which can be independently designed focusing solely on stability, control bandwidth and transient performance. Simulation comparisons are conducted to verify the effectiveness and superiority of the proposed method in terms of vibration suppression and tracking performance. The achieved bandwidth exceeds the primary resonant frequency, demonstrating a competitive result among existing damping control methods. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Robust & Nonlinear 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:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1002/rnc.70508
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 13
        StartPage: 5430
    Subjects:
      – SubjectFull: Robust stability analysis
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
      – SubjectFull: Vibration isolation
        Type: general
      – SubjectFull: Cascade control
        Type: general
      – SubjectFull: Control theory (Engineering)
        Type: general
      – SubjectFull: Power transmission
        Type: general
      – SubjectFull: Torque
        Type: general
    Titles:
      – TitleFull: A Wideband Torque Control Method for Transmission System Based on Mixed Negative‐Imaginary and Finite‐Gain Method.
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Cheng, Zhining
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          Name:
            NameFull: He, Zhen
      – PersonEntity:
          Name:
            NameFull: Meng, Fanwei
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          Dates:
            – D: 10
              M: 07
              Text: Jul2026
              Type: published
              Y: 2026
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              Value: 10498923
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              Value: 36
            – Type: issue
              Value: 10
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            – TitleFull: International Journal of Robust & Nonlinear Control
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