Robust stability control for nonlinear time varying delay fractional order practical systems and application in Glucose-Insulin system

Gholamreza Alikhani and Saeed Balochian

Computer Methods in Biomechanics and Biomedical Engineering, 2023, vol. 26, issue 15, 1796-1805

Abstract: Diabetes Mellitus is a long-term and prevalent disease that 10% of the world population suffer ‎from. This study uses a state feedback controller to control blood glucose level in the delayed ‎fractional order model of this disease. Thus, first, a proper state feedback controller for ‎stabilizing the fractional order model with time-variant delays is presented. Then, stability and ‎stabilization of the fractional order models in the fractional order insulin-glucose model with ‎time-variant delays is presented. The results show that the insulin-glucose system with the ‎proposed controller is stabilized and the blood glucose concentration is controlled in a proper ‎time. Further studies might provide the opportunity for novel technologies in controlling and ‎treating diabetic patients.

Date: 2023
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DOI: 10.1080/10255842.2022.2145888

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