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<p>Gain scheduling is a simple technique that uses several linear partitions of a nonlinear process and tunes a simple controller for each one. When merged with simple techniques as PID control, this mechanism allows nonlinear control loops to achieve a reasonable trade-off between performance, robustness, and complexity. In such instances, multi-objective optimization offers a suitable strategy for controller tuning to achieve trade-offs. Despite the extensive application of multi-objective techniques for PID controller tuning, little has been said about using such techniques in a gain scheduling scenario. Therefore, this paper was motivated by the following question: How could multi-objective optimization techniques be merged with gain scheduling to address performance, simplicity in controller tuning, and the fixed structure of a given controller? In this paper, we propose a gain scheduling controller tuning method using the <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40435_2025_1666_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\nu \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ν</mi> </math></EquationSource> </InlineEquation>-gap technique to reduce the number of required controllers while maintaining a predetermined fixed low-order structure (in this research, a PI controller is considered), along with multi-objective optimization to find new control values for a nonlinear system. Simulation experiments using a Peltier cell benchmark process validate the proposal by significantly reducing the set of adjustable variables and maintaining the performance of the controller when compared to other tuning alternatives.</p>

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Gain scheduling controller tuning with multi-objective evolutionary algorithms

  • 期刊论文

  • 发表日期：

    2025年4月17日

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  • Tainara Marques,
  • Paul Arpi,
  • Emerson Donaisky,
  • Jesús Carrillo-Ahumada,
  • Gilberto Reynoso-Meza

摘要

Gain scheduling is a simple technique that uses several linear partitions of a nonlinear process and tunes a simple controller for each one. When merged with simple techniques as PID control, this mechanism allows nonlinear control loops to achieve a reasonable trade-off between performance, robustness, and complexity. In such instances, multi-objective optimization offers a suitable strategy for controller tuning to achieve trade-offs. Despite the extensive application of multi-objective techniques for PID controller tuning, little has been said about using such techniques in a gain scheduling scenario. Therefore, this paper was motivated by the following question: How could multi-objective optimization techniques be merged with gain scheduling to address performance, simplicity in controller tuning, and the fixed structure of a given controller? In this paper, we propose a gain scheduling controller tuning method using the \(\nu \) ν -gap technique to reduce the number of required controllers while maintaining a predetermined fixed low-order structure (in this research, a PI controller is considered), along with multi-objective optimization to find new control values for a nonlinear system. Simulation experiments using a Peltier cell benchmark process validate the proposal by significantly reducing the set of adjustable variables and maintaining the performance of the controller when compared to other tuning alternatives.