Commuted PD Controller for Nonlinear Systems: Glucose–Insulin Regulatory Case

Pujol-Vázquez, Gisela; Acho, Leonardo; Gibergans-Báguena, José

doi:10.3390/app13148129

Open AccessArticle

Commuted PD Controller for Nonlinear Systems: Glucose–Insulin Regulatory Case

by

Gisela Pujol-Vázquez

^*,†

,

Leonardo Acho

^†

and

José Gibergans-Báguena

^†

Department of Mathematics, Universitat Politècnica de Catalunya-BarcelonaTech (ESEIAAT), 08222 Terrassa, Spain

^*

Author to whom correspondence should be addressed.

^†

These authors contributed equally to this work.

Appl. Sci. 2023, 13(14), 8129; https://doi.org/10.3390/app13148129

Submission received: 14 June 2023 / Revised: 8 July 2023 / Accepted: 11 July 2023 / Published: 12 July 2023

(This article belongs to the Special Issue Research and Application of Intelligent Control Algorithm)

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Abstract

As an option to deal with insulin-dependent disease, a recently commuted PD control strategy is designed and carefully analyzed for different clinic diabetic patients. This controller approach is mainly conceived to stabilize the glucose blood concentration in a diabetic patient around its basal value; hence, avoiding extreme situations such as hypoglycemia and hyperglycemia. This control strategy receives two inputs carefully tuned to actuate when the measured variable is out of a prescribed healthy zone. Therefore, one of these variables is invoked to decrease the glucose concentration to insulin injection, and the other is employed to increase the glucose absorption, both by using a proper PD controller. According to our numerical experiments, our controller approach performs well, even when there is an external disturbance in the controlled system.

Keywords: glucose–insulin system; commuted proportional derivative controller; nonlinear system; exogenous perturbation

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MDPI and ACS Style

Pujol-Vázquez, G.; Acho, L.; Gibergans-Báguena, J. Commuted PD Controller for Nonlinear Systems: Glucose–Insulin Regulatory Case. Appl. Sci. 2023, 13, 8129. https://doi.org/10.3390/app13148129

AMA Style

Pujol-Vázquez G, Acho L, Gibergans-Báguena J. Commuted PD Controller for Nonlinear Systems: Glucose–Insulin Regulatory Case. Applied Sciences. 2023; 13(14):8129. https://doi.org/10.3390/app13148129

Chicago/Turabian Style

Pujol-Vázquez, Gisela, Leonardo Acho, and José Gibergans-Báguena. 2023. "Commuted PD Controller for Nonlinear Systems: Glucose–Insulin Regulatory Case" Applied Sciences 13, no. 14: 8129. https://doi.org/10.3390/app13148129

APA Style

Pujol-Vázquez, G., Acho, L., & Gibergans-Báguena, J. (2023). Commuted PD Controller for Nonlinear Systems: Glucose–Insulin Regulatory Case. Applied Sciences, 13(14), 8129. https://doi.org/10.3390/app13148129

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Commuted PD Controller for Nonlinear Systems: Glucose–Insulin Regulatory Case

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