A control algorithm for the two-dimensional glucoregulatory system

Abstract

The design and implementation of a robust control algorithm to regulate the glucose concentration and possibly the insulin concentration in the blood of the human subject is presented. The state equations which relate the plasma glucose concentration and the insulin concentration in the metabolic system are obtained, and consequently the transfer function matrix is also derived. The digital version of the transfer function matrix is deduced using the z-transform. A three-term controller (PID) is employed to regulate efficiently the slow metabolic system in the closed-loop scheme in which continuous measurement of the glucose concentration is required. The measurement process involves a long time delay that makes the problem quite complicated. The input wave forms are presented by simulating a realistic system using microcomputers.