Preprogrammed pid controller for the glucose homeostasis system

ABSTRACT

The regulation of the glucose in the metabolic system was achieved, based on a 4th order well identified digital model, and a predetermined digital control. Assuming the model is sufficiently accurate to avoid the need for measurement of the glucose concentration an open- loop digital controller is designed. A partial pole placement technique together with the dominant roots concept are used to synthesize the discrete time controller. The parameters of the controller are determined from the solution of a set of linear simultaneous equations. The closed-loop dynamics are dictated by the type of the dominant poles. A set of well behaved responses and internal states were obtained with variable overshoot. The dynamics have shown to be comparatively fast and the controller was shown to be robust using the bounding polynomials suggested by Kharitonov's stability criterion