Robust stability control for nonlinear time varying delay fractional order practical systems and application in Glucose-Insulin system

Diabetes Mellitus is a long-term and prevalent disease that 10% of the world population suffer left-to-right markfrom. This study uses a state feedback controller to control blood glucose level in the delayed left-to-right markfractional order model of this disease. Thus, first, a proper state feedback controller for left-to-right markstabilizing the fractional order model with time-variant delays is presented. Then, stability and left-to-right markstabilization of the fractional order models in the fractional order insulin-glucose model with left-to-right marktime-variant delays is presented. The results show that the insulin-glucose system with the left-to-right markproposed controller is stabilized and the blood glucose concentration is controlled in a proper left-to-right marktime. Further studies might provide the opportunity for novel technologies in controlling and left-to-right marktreating diabetic patients.