Fractional adaptive control for a fractional - order insuline - glucose dynamic model

A new approach to the blood glucose concentration control problem is investigated in this paper. The solution implies the use of fractional-order calculus both for the plant's model and for the controller. A fractional-order model of the insulin-glucose system is derived from the well-known minimal model, by replacing the integer derivatives with fractional ones. Next, fractional-order calculus is used to extend the conventional model reference adaptive control, namely by using a fractional-order adjustment rule for the controller's parameters. The controller's design procedure is detailed. Simulations of the proposed control system show the performance in reducing the blood glucose concentration when meal glucose disturbances are considered.