LAPSE:2025.0304
Published Article

LAPSE:2025.0304
Implementation and assessment of fractional controllers for an extractive distillation system
June 27, 2025
Abstract
This work presents an approach to implement and assess fractional controllers in an extractive distillation system. The experimental dynamic data for an extractive distillation column is used as a case study. A strategy is developed to fit the operation data to fractional-order transfer functions. Then, the fractional controllers are designed in the Simulink environment in Matlab, tuning the controllers through a hybrid optimization approach. First, the approach uses a genetic algorithm to find an initial point, and then the solution is improved through the fmincon algorithm. According to the results of the design of fractional controllers, the sum of the square of errors is below 2.9x10-6 for perturbations in heat duty, and 1.2x10-5 for perturbations in the reflux ratio. Moreover, after controller tuning, a minimal value for ISE of 1,278.12 is obtained, which is approximately 8% lower than the value obtained for an integer-order controller.
This work presents an approach to implement and assess fractional controllers in an extractive distillation system. The experimental dynamic data for an extractive distillation column is used as a case study. A strategy is developed to fit the operation data to fractional-order transfer functions. Then, the fractional controllers are designed in the Simulink environment in Matlab, tuning the controllers through a hybrid optimization approach. First, the approach uses a genetic algorithm to find an initial point, and then the solution is improved through the fmincon algorithm. According to the results of the design of fractional controllers, the sum of the square of errors is below 2.9x10-6 for perturbations in heat duty, and 1.2x10-5 for perturbations in the reflux ratio. Moreover, after controller tuning, a minimal value for ISE of 1,278.12 is obtained, which is approximately 8% lower than the value obtained for an integer-order controller.
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Keywords
extractive distillation, Fractional calculus, fractional controllers
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Suggested Citation
Flores-Gómez LR, Gómez-Castro FI, López-Villarreal F, Rico-Ramírez V. Implementation and assessment of fractional controllers for an extractive distillation system. Systems and Control Transactions 4:950-955 (2025) https://doi.org/10.69997/sct.181543
Author Affiliations
Flores-Gómez LR: Universidad de Guanajuato, Campus Guanajuato, División de Ciencias Naturales y Exactas, Departamento de Ingeniería Química, Guanajuato, Guanajuato, México
Gómez-Castro FI: Universidad de Guanajuato, Campus Guanajuato, División de Ciencias Naturales y Exactas, Departamento de Ingeniería Química, Guanajuato, Guanajuato, México
López-Villarreal F: Instituto Tecnológico de Villahermosa, Departamento de Ingeniería Química, Bioquímica y Ambiental, Villahermosa, Tabasco, México
Rico-Ramírez V: Tecnológico Nacional de México en Celaya, Departamento de Ingeniería Química, Celaya, Guanajuato, México
Gómez-Castro FI: Universidad de Guanajuato, Campus Guanajuato, División de Ciencias Naturales y Exactas, Departamento de Ingeniería Química, Guanajuato, Guanajuato, México
López-Villarreal F: Instituto Tecnológico de Villahermosa, Departamento de Ingeniería Química, Bioquímica y Ambiental, Villahermosa, Tabasco, México
Rico-Ramírez V: Tecnológico Nacional de México en Celaya, Departamento de Ingeniería Química, Celaya, Guanajuato, México
Journal Name
Systems and Control Transactions
Volume
4
First Page
950
Last Page
955
Year
2025
Publication Date
2025-07-01
Version Comments
Original Submission
Other Meta
PII: 0950-0955-1104-SCT-4-2025, Publication Type: Journal Article
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LAPSE:2025.0304
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https://doi.org/10.69997/sct.181543
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Jun 27, 2025
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References Cited
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