Fractional-Order Adaptive Fuzzy Backstepping Algorithm for Automated Control of Blood Glucose in Diabetes Mellitus Type 1 Patients
Abstract
This study proposes a fractional-order control for the
automatic stabilization of the blood glucose level in
Diabetes Mellitus Type-1 patients. The control scheme under
study, which is applied to a fractional Extended Bergman’s
minimal model (EBMM), combines the feedback form of
backstepping technique with three fractional Takagi–Sugeno
fuzzy systems. This allows getting rid of the requirements
of the patient parameters knowledge and aims to attenuate
the effect of disturbances to the blood glucose level
during meal intake. A mathematical analysis has been done
to prove the asymptotic stability using a fractional
Lyapunov function. To demonstrate the effectiveness of the
fractional proposed approach, a comparative study with
other methods is presented.