On the fractional tracking control and its application in diabetes treatment Available to Purchase

In this paper, the fractional tracking control problem is discussed. The fractional tracking control problem is the problem to determine a tracking controller that satisfy a fractional dynamic system that drive an initial state to a desired state such that a corresponding performance index is minimized. The main goal of this paper is to find the optimal tracking controller for the fractional tracking control problem in which the fractional derivative is Caputo type. The desired result is obtained by constructing the fractional Euler-Lagrange equation for the corresponding fractional variational problem. The result of this paper is given in a proposition that mention the existence of the optimal tracking controller for the fractional tracking control problem in Caputo derivative sense. An application of fractional tracking control in controlling glucose levels in the blood for diabetics is presented. By using this optimal tracking controller, the desired glucose level in the blood can be achieved.