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Advancing linear control strategy for nonlinear systems through internal model control structure.

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Title: Advancing linear control strategy for nonlinear systems through internal model control structure.
Authors: Elkhalil, Khouloud1 (AUTHOR) khouloudkalil@gmail.com, Zribi, Ali2 (AUTHOR)
Source: International Journal of Control. May2026, Vol. 99 Issue 5, p1561-1573. 13p.
Subjects: Linear control systems, Nonlinear systems, Nonlinear theories, Chemical reactors, Stability theory, Model validation
Abstract: In recent years, classical linear control techniques have demonstrated effectiveness in managing various nonlinear systems across numerous applications. When dealing with the linear control of nonlinear systems, two key challenges commonly arise: (1) determining the suitability of linear control for a given nonlinear system and (2) developing a linear controller that ensures both stability and the desired performance. This paper focuses on the design of a stable and implementable Internal Model Control (IMC) controller for a specific class of nonlinear systems. To address this, we introduce a novel method for analysing nonlinearity, capable of quantifying system nonlinearity and facilitating the design of an appropriate linear controller. The proposed approach is validated through simulation examples and real-time application on a chemical reactor, demonstrating the effectiveness and relevance of the method in practical scenarios. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Control 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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  Data: Advancing linear control strategy for nonlinear systems through internal model control structure.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Control%22">International Journal of Control</searchLink>. May2026, Vol. 99 Issue 5, p1561-1573. 13p.
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  Data: <searchLink fieldCode="DE" term="%22Linear+control+systems%22">Linear control systems</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+systems%22">Nonlinear systems</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+theories%22">Nonlinear theories</searchLink><br /><searchLink fieldCode="DE" term="%22Chemical+reactors%22">Chemical reactors</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+theory%22">Stability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Model+validation%22">Model validation</searchLink>
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  Data: In recent years, classical linear control techniques have demonstrated effectiveness in managing various nonlinear systems across numerous applications. When dealing with the linear control of nonlinear systems, two key challenges commonly arise: (1) determining the suitability of linear control for a given nonlinear system and (2) developing a linear controller that ensures both stability and the desired performance. This paper focuses on the design of a stable and implementable Internal Model Control (IMC) controller for a specific class of nonlinear systems. To address this, we introduce a novel method for analysing nonlinearity, capable of quantifying system nonlinearity and facilitating the design of an appropriate linear controller. The proposed approach is validated through simulation examples and real-time application on a chemical reactor, demonstrating the effectiveness and relevance of the method in practical scenarios. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of International Journal of Control 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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        Value: 10.1080/00207179.2025.2594036
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      – Code: eng
        Text: English
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        PageCount: 13
        StartPage: 1561
    Subjects:
      – SubjectFull: Linear control systems
        Type: general
      – SubjectFull: Nonlinear systems
        Type: general
      – SubjectFull: Nonlinear theories
        Type: general
      – SubjectFull: Chemical reactors
        Type: general
      – SubjectFull: Stability theory
        Type: general
      – SubjectFull: Model validation
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      – TitleFull: Advancing linear control strategy for nonlinear systems through internal model control structure.
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              Text: May2026
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              Y: 2026
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