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Partial eigenstructure assignment of the vibration system based on multi-input PID active control.

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Title: Partial eigenstructure assignment of the vibration system based on multi-input PID active control.
Authors: Mao, Huping1 (AUTHOR) maohp@nuc.edu.cn, Du, Yulong1 (AUTHOR)
Source: Journal of Vibration & Control. Feb2026, Vol. 32 Issue 3/4, p797-809. 13p.
Subjects: Active noise & vibration control, Pole assignment, Real-time control, Sensitivity analysis, Laplace transformation, Feedback control systems, Numerical calculations
Abstract: We propose a multi-input active control method to enable targeted assignment and suppression of closed-loop zeros and poles in a vibration system, while preventing system singularities. This approach integrates integral feedback into the dynamic flexibility matrix control framework. The method begins by introducing multi-input PID feedback into the free vibration equation of a multi-degree-of-freedom linear system. The Laplace transform is then applied to decompose and solve the resulting linear equations using LU decomposition, yielding the closed-loop system's transfer function matrix. When the preset zeros and poles are self-conjugate with negative real parts, the gain vector for multi-input PID feedback eigenstructure assignment is determined using the Levenberg–Marquardt method. The effectiveness of this method is demonstrated through third- and sixth-dimensional examples. Numerical results confirm its efficacy in multi-input active control with partial eigenstructure assignment, while a robustness analysis further supports its practical applicability. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. 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.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 191178137
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Partial eigenstructure assignment of the vibration system based on multi-input PID active control.
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  Data: <searchLink fieldCode="AR" term="%22Mao%2C+Huping%22">Mao, Huping</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> maohp@nuc.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Du%2C+Yulong%22">Du, Yulong</searchLink><relatesTo>1</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Vibration+%26+Control%22">Journal of Vibration & Control</searchLink>. Feb2026, Vol. 32 Issue 3/4, p797-809. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Active+noise+%26+vibration+control%22">Active noise & vibration control</searchLink><br /><searchLink fieldCode="DE" term="%22Pole+assignment%22">Pole assignment</searchLink><br /><searchLink fieldCode="DE" term="%22Real-time+control%22">Real-time control</searchLink><br /><searchLink fieldCode="DE" term="%22Sensitivity+analysis%22">Sensitivity analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Laplace+transformation%22">Laplace transformation</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Numerical+calculations%22">Numerical calculations</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We propose a multi-input active control method to enable targeted assignment and suppression of closed-loop zeros and poles in a vibration system, while preventing system singularities. This approach integrates integral feedback into the dynamic flexibility matrix control framework. The method begins by introducing multi-input PID feedback into the free vibration equation of a multi-degree-of-freedom linear system. The Laplace transform is then applied to decompose and solve the resulting linear equations using LU decomposition, yielding the closed-loop system's transfer function matrix. When the preset zeros and poles are self-conjugate with negative real parts, the gain vector for multi-input PID feedback eigenstructure assignment is determined using the Levenberg–Marquardt method. The effectiveness of this method is demonstrated through third- and sixth-dimensional examples. Numerical results confirm its efficacy in multi-input active control with partial eigenstructure assignment, while a robustness analysis further supports its practical applicability. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Vibration & Control is the property of Sage Publications, Ltd. 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: 10.1177/10775463241304286
    Languages:
      – Code: eng
        Text: English
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      Pagination:
        PageCount: 13
        StartPage: 797
    Subjects:
      – SubjectFull: Active noise & vibration control
        Type: general
      – SubjectFull: Pole assignment
        Type: general
      – SubjectFull: Real-time control
        Type: general
      – SubjectFull: Sensitivity analysis
        Type: general
      – SubjectFull: Laplace transformation
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
      – SubjectFull: Numerical calculations
        Type: general
    Titles:
      – TitleFull: Partial eigenstructure assignment of the vibration system based on multi-input PID active control.
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            NameFull: Mao, Huping
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            NameFull: Du, Yulong
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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              Value: 32
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              Value: 3/4
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            – TitleFull: Journal of Vibration & Control
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