Observer design for a nonlinear minimal model of glucose disappearance and insulin kinetics

Abstract

This work deals with an observer design for a nonlinear minimal dynamic model of glucose disappearance and insulin kinetics (GDIK). At first, the model is transformed into a nonlinear observer normal form. Then, using the knowledge of the plasma blood glucose level, we estimate the state variables that are not directly available from the system, i.e. the remote compartment insulin utilization, the plasma insulin deviation and the infusion rate. In addition, we estimate the amount of absorbed glucose by means of the inverse dynamics.