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

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Bibliographic Details
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]
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Database: Engineering Source
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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]
ISSN:00207179
DOI:10.1080/00207179.2025.2594036