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

Abstract

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