Fractional Order Back Stepping Sliding Mode Control for Blood Glucose Regulation in Type I Diabetes Patients

Abstract

In this paper a fractional order backstepping sliding mode controller is proposed for Blood Glucose regulation using Bergman minimal model. A feedback control law is designed based on backstepping algorithm and a fractional order sliding surface is introduced. The backstepping algorithm makes the controller immune to matched and mismatched uncertainties and the fractional order sliding mode control provides robustness. Simulation results show that the proposed fractional order backstepping sliding mode controller are able to reject both matched and mismatched uncertainties and disturbance with a chattering free control law and the simulation results of the proposed controller are compared with the Backstepping sliding mode controller.