Blood Glucose Regulation Through Bihormonal Non-Singular Terminal Sliding Mode Controller

摘要

Control algorithms for a bihormonal artificial pancreas are proposed in such a way that insulin and glucagon actions are considered, aiming to avoid hypoglicemic and hiperglicemic episodes. Such control algorithms are utilized in order to ensure the blood glucose regulation in type 1 diabetic patients. The assumed mathematical model has experimental validation and represents the glucose-insulin-glucagon dynamics. The Non-Singular Terminal Sliding Mode Controller (NSTSMC) is employed to reach the finite-time convergence of the regulation error. The stability proof is presented assuming the plant state is known. In the simulation results, exact differentiators are used in order to recover the information associated with the unmeasured state variables of the system. At last, the performance of each control strategy is evaluated by means of numerical examples.