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A dynamic optimal decoupling controller design for a multi-variable system with stability analysis: an algebraic approach.

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Title: A dynamic optimal decoupling controller design for a multi-variable system with stability analysis: an algebraic approach.
Authors: Mahapatro, Soumya Ranjan1 (AUTHOR) mahapatro.soumya@gmail.com, Mahapatra, Subhashish2 (AUTHOR), Govinda, Achu2 (AUTHOR), Mahapatra, Ranjan Kumar3 (AUTHOR)
Source: International Journal of Modelling & Simulation. Feb2026, Vol. 46 Issue 1, p272-285. 14p.
Subjects: PID controllers, Robust stability analysis, Scientific method, Feedback control system stability, Closed loop systems, Robust control, Feedback control systems
Abstract: This study describes the design and implementation of an algebraic approach for a dynamic optimal decoupling controller in a multi-variable liquid-level system. This method aligns with model-matching criteria and the frequency-matching technique. The prime objective of the proposed approach is to create a closed-loop feedback system using a PID controller that aligns with a user-defined linear system model in terms of both system dynamics and static behavioral response. To illustrate robust stability, the study incorporates multiplicative input and output uncertainty. Simulation results verify the efficacy of the proposed decentralized controller, presenting its effectiveness in achieving both set-point accuracy and disturbance attenuation. Furthermore, the study employs disk margin analysis to ascertain safe ranges for gain and phase margin. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis 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.)
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An: 191254950
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  Data: A dynamic optimal decoupling controller design for a multi-variable system with stability analysis: an algebraic approach.
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  Data: <searchLink fieldCode="AR" term="%22Mahapatro%2C+Soumya+Ranjan%22">Mahapatro, Soumya Ranjan</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mahapatro.soumya@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Mahapatra%2C+Subhashish%22">Mahapatra, Subhashish</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Govinda%2C+Achu%22">Govinda, Achu</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mahapatra%2C+Ranjan+Kumar%22">Mahapatra, Ranjan Kumar</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Modelling+%26+Simulation%22">International Journal of Modelling & Simulation</searchLink>. Feb2026, Vol. 46 Issue 1, p272-285. 14p.
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  Data: <searchLink fieldCode="DE" term="%22PID+controllers%22">PID controllers</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+stability+analysis%22">Robust stability analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Scientific+method%22">Scientific method</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+system+stability%22">Feedback control system stability</searchLink><br /><searchLink fieldCode="DE" term="%22Closed+loop+systems%22">Closed loop systems</searchLink><br /><searchLink fieldCode="DE" term="%22Robust+control%22">Robust control</searchLink><br /><searchLink fieldCode="DE" term="%22Feedback+control+systems%22">Feedback control systems</searchLink>
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  Data: This study describes the design and implementation of an algebraic approach for a dynamic optimal decoupling controller in a multi-variable liquid-level system. This method aligns with model-matching criteria and the frequency-matching technique. The prime objective of the proposed approach is to create a closed-loop feedback system using a PID controller that aligns with a user-defined linear system model in terms of both system dynamics and static behavioral response. To illustrate robust stability, the study incorporates multiplicative input and output uncertainty. Simulation results verify the efficacy of the proposed decentralized controller, presenting its effectiveness in achieving both set-point accuracy and disturbance attenuation. Furthermore, the study employs disk margin analysis to ascertain safe ranges for gain and phase margin. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Modelling & Simulation is the property of Taylor & Francis 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: 10.1080/02286203.2024.2331834
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 14
        StartPage: 272
    Subjects:
      – SubjectFull: PID controllers
        Type: general
      – SubjectFull: Robust stability analysis
        Type: general
      – SubjectFull: Scientific method
        Type: general
      – SubjectFull: Feedback control system stability
        Type: general
      – SubjectFull: Closed loop systems
        Type: general
      – SubjectFull: Robust control
        Type: general
      – SubjectFull: Feedback control systems
        Type: general
    Titles:
      – TitleFull: A dynamic optimal decoupling controller design for a multi-variable system with stability analysis: an algebraic approach.
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            NameFull: Mahapatro, Soumya Ranjan
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            NameFull: Mahapatra, Subhashish
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            NameFull: Govinda, Achu
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            NameFull: Mahapatra, Ranjan Kumar
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            – D: 01
              M: 02
              Text: Feb2026
              Type: published
              Y: 2026
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              Value: 46
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            – TitleFull: International Journal of Modelling & Simulation
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