Linear Quadratic Integral Control for Glucose Insulin Interaction in Human Body
Abstract
This study examines the design of an optimal controller aimed at reducing the insulin dose required for the treatment of diabetic patients. The design is based on the application of optimal control methods, specifically utilizing the Linear Quadratic Regulator and the Linear Quadratic Integrator (LQI). These controllers compute the optimal insulin dosage based on blood glucose readings while minimizing the administered amount to the greatest extent possible. At the conclusion of the study, the results obtained from both methods are compared to determine the approach that delivers superior performance in reducing the insulin dose and maintaining stable blood glucose levels.