Implementable blood glucose estimation with fractional-order system

An implementable blood glucose estimation in computer is presented. In general, the existing effective approaches for measuring the blood glucose concentration are mainly based on blood test, which is painful for patient. Painless methods to obtain blood glucose concentration will dramatically improve the case. As one of the painless methods, this paper implements the blood glucose estimation with fractional-order system, a generalization of the integer-order one. Through approximating the Grunwald-Letnikov fractional difference and calculating with matrix operator, we can understand the problem easily. Besides, the estimation can be formulated as an optimal trade-off curve problem, which is easy to solve out with Matlab tool. At last, the analytic solution of system test is able to obtained.