Design and optimal tuning of fractional order PID controller for paper machine headbox using jellyfish search optimizer algorithm
Abstract This manuscript proposes the Jellyfish Search Optimization (JSO) algorithm-based Fractional Order Proportional-Integral-Derivative (FOPID) controller tuning for a paper machine headbox. The novelty of this method lies in integrating the JSO technique for optimizing the parameters of the FOP...
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Nature Portfolio
2025-01-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-85810-9 |
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| author | Divya Nataraj Manoharan Subramanian |
| author_facet | Divya Nataraj Manoharan Subramanian |
| author_sort | Divya Nataraj |
| collection | DOAJ |
| description | Abstract This manuscript proposes the Jellyfish Search Optimization (JSO) algorithm-based Fractional Order Proportional-Integral-Derivative (FOPID) controller tuning for a paper machine headbox. The novelty of this method lies in integrating the JSO technique for optimizing the parameters of the FOPID controller to monitor and control headbox pressure and stock level efficiently and effectively. The JSO algorithm ensures optimal tuning of controller parameters by minimizing error indices such as Integral of Squared Error (ISE), Integral of Time Absolute Error (ITAE), and Integral of Absolute Error (IAE). Simulations conducted on the MATLAB/Simulink platform demonstrate that the FOPID controller tuned using JSO achieves superior performance compared to conventional PI (Proportional-Integral) and PID (Proportional-Integral-Derivative) controllers. Specifically, the JSO-tuned FOPID controller exhibited a 25% reduction in rise time, a 30% improvement in settling time, and a 20% decrease in overshoot when compared to the PID controller. Furthermore, comparative analyses with other optimization techniques, including Moth Flame Optimization (MFO), Ant Lion Optimization (ALO), and Elephant Herding Optimization (EHO), reveal that the JSO algorithm provides higher accuracy and stability in diverse operating conditions. This study underscores the efficacy of the JSO-tuned FOPID controller as a robust solution for complex industrial applications, such as paper machine headbox systems, and highlights its potential to enhance process efficiency and control precision. |
| format | Article |
| id | doaj-art-db55408f43e34bf5808fe15ebcd5296d |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Nature Portfolio |
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| spelling | doaj-art-db55408f43e34bf5808fe15ebcd5296d2025-01-12T12:20:50ZengNature PortfolioScientific Reports2045-23222025-01-0115111710.1038/s41598-025-85810-9Design and optimal tuning of fractional order PID controller for paper machine headbox using jellyfish search optimizer algorithmDivya Nataraj0Manoharan Subramanian1Department of EEE, Sri Ramakrishna Engineering CollegeDepartment of EEE, JCT College of Engineering and TechnologyAbstract This manuscript proposes the Jellyfish Search Optimization (JSO) algorithm-based Fractional Order Proportional-Integral-Derivative (FOPID) controller tuning for a paper machine headbox. The novelty of this method lies in integrating the JSO technique for optimizing the parameters of the FOPID controller to monitor and control headbox pressure and stock level efficiently and effectively. The JSO algorithm ensures optimal tuning of controller parameters by minimizing error indices such as Integral of Squared Error (ISE), Integral of Time Absolute Error (ITAE), and Integral of Absolute Error (IAE). Simulations conducted on the MATLAB/Simulink platform demonstrate that the FOPID controller tuned using JSO achieves superior performance compared to conventional PI (Proportional-Integral) and PID (Proportional-Integral-Derivative) controllers. Specifically, the JSO-tuned FOPID controller exhibited a 25% reduction in rise time, a 30% improvement in settling time, and a 20% decrease in overshoot when compared to the PID controller. Furthermore, comparative analyses with other optimization techniques, including Moth Flame Optimization (MFO), Ant Lion Optimization (ALO), and Elephant Herding Optimization (EHO), reveal that the JSO algorithm provides higher accuracy and stability in diverse operating conditions. This study underscores the efficacy of the JSO-tuned FOPID controller as a robust solution for complex industrial applications, such as paper machine headbox systems, and highlights its potential to enhance process efficiency and control precision.https://doi.org/10.1038/s41598-025-85810-9FOPID controllerJSOPaper machine head boxEHOMFO and ALO |
| spellingShingle | Divya Nataraj Manoharan Subramanian Design and optimal tuning of fractional order PID controller for paper machine headbox using jellyfish search optimizer algorithm Scientific Reports FOPID controller JSO Paper machine head box EHO MFO and ALO |
| title | Design and optimal tuning of fractional order PID controller for paper machine headbox using jellyfish search optimizer algorithm |
| title_full | Design and optimal tuning of fractional order PID controller for paper machine headbox using jellyfish search optimizer algorithm |
| title_fullStr | Design and optimal tuning of fractional order PID controller for paper machine headbox using jellyfish search optimizer algorithm |
| title_full_unstemmed | Design and optimal tuning of fractional order PID controller for paper machine headbox using jellyfish search optimizer algorithm |
| title_short | Design and optimal tuning of fractional order PID controller for paper machine headbox using jellyfish search optimizer algorithm |
| title_sort | design and optimal tuning of fractional order pid controller for paper machine headbox using jellyfish search optimizer algorithm |
| topic | FOPID controller JSO Paper machine head box EHO MFO and ALO |
| url | https://doi.org/10.1038/s41598-025-85810-9 |
| work_keys_str_mv | AT divyanataraj designandoptimaltuningoffractionalorderpidcontrollerforpapermachineheadboxusingjellyfishsearchoptimizeralgorithm AT manoharansubramanian designandoptimaltuningoffractionalorderpidcontrollerforpapermachineheadboxusingjellyfishsearchoptimizeralgorithm |