Robust Blood-Glucose Control of Type I Diabetes Patients Under Intensive Care Using Mathematica

Abstract

This article presents a robust control design method on frequency domain using Mathematica for regularization of glucose level in Type I diabetes persons under intensive care. The method originally proposed under Mathematica by Helton and Merino (1998) is now improved with a disturbance rejection constraint inequality, and is tested on the three-state minimal model. Nonlinear closed loop simulation in state-space, in case of standard meal disturbances, demonstrates the robustness of the resulted high-order linear controller. The obtained results are compared with H8 design implemented with Matlab, proving that the controller (for the considered model parameters) can operate properly, even in case of parameter values of the worst-case scenario.

Key Terms in this Chapter

Mathematica: A fully integrated software environment for technical and scientific computing.

Insulin: Hormone in the body.

Matlab: A tool for doing numerical computations with matrices and vectors.

Blood-Glucose Control: Control of blood sugar levels.

Control System Professional Suite (CSPS): Application in Mathematica.