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In this manuscript, Fractional-order derivatives are discussed
for a comprehensive glucose insulin regulatory model. Observer is designed for approximating the structure of a blood glucose-insulin with glucose rate disorder to show the complete dynamics of the glucose-insulin
system where the fractional-order at α ∈ (0, 1]. The developed method
provides the estimation algorithm for a glucose-insulin system with unknown time-varying glucose rate disturbance. Lyapunov function is used
to check the stability analysis and input/output stability which play an important role in feedback control design for automatic control system. Numerical simulations are carried out to demonstrate our proposed results
and show the nonlinear fractional-order glucose-insulin systems are at
least stable in the existence of exogenous glucose infusion or meal disturbance. The concept of controllability and observability for the linearizedcontrol system of human glucose insulin system is used so that we can
have a feedback control for artificial pancreas.
Muhammad Umer Saleem, Muhammad Farman, Aqeel Ahmad, Muhammad Naeem, Muhammad Ozair Ahmad. (2019) Fractional Order Derivative Glucose Insulin Model to Control the type 1 Diabetes Mellitus, Punjab University Journal of Mathematics, Volume 51, Issue 4.
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