A Takagi-Sugeno Fuzzy Model of the Insulin to Glucose System Based On the Minimal Model

Abstract

In this paper, we introduce a Takagi-Sugeno fuzzy model of the glucose-insulin system, derived from the well-known minimal model, with application in the design of fuzzy control systems for blood glucose concentration. The fuzzy model can be an alternative approach to the classical linearization method applied to the nonlinear minimal model, which is often used in the analytical design of such systems. The main benefit of the fuzzy model is the possibility to use it as the source for finding or tuning the control rules of a fuzzy controller. For model validation, simulated time responses for step inputs of insulin and glucose are presented.