Fractional-Order Adaptive Fuzzy Backstepping Algorithm for Automated Control of Blood Glucose in Diabetes Mellitus Type 1 Patients
Résumé
This study proposes a fractional-order control for theautomatic stabilization of the blood glucose level inDiabetes Mellitus Type-1 patients. The control scheme understudy, which is applied to a fractional Extended Bergman’sminimal model (EBMM), combines the feedback form ofbackstepping technique with three fractional Takagi–Sugenofuzzy systems. This allows getting rid of the requirementsof the patient parameters knowledge and aims to attenuatethe effect of disturbances to the blood glucose levelduring meal intake. A mathematical analysis has been doneto prove the asymptotic stability using a fractionalLyapunov function. To demonstrate the effectiveness of thefractional proposed approach, a comparative study withother methods is presented.
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