Designing Fractional Ts Observers For A Class Of Fractional Model Of The Blood Glucose For Type I Diabetes
This paper presents an approach to design fractional observer for Takagi-Sugeno fuzzy model of the Blood
glucose regulation based on the sector nonlinearity method. Used the Properties of the Kronecker product and LMI
approach, the observer and the controller is derived in this paper. Both of the blood sugar glucose and glucagon are
considered in the model of diabetes. The main contribution of the proposed model and observer compared to the other is the
direct effect of insulin and glucagon on each other and reverse the effects of glucose from the foods. The stability of the
closed loop system and convergence of the observer error to zero are discussed. The simulation results show the promising
performance of the model and the observer.
Keywords- TS Fuzzy Model; TS Observer; Fractional System; Type I Diabetes; The Sector Nonlinearity Approach.