Robust Blood-Glucose Control using Mathematica

A robust control design on frequency domain using Mathematica is presented for regularization of glucose level in type I diabetes persons under intensive care. The method originally proposed under Mathematica by Helton and Merino, now with an improved disturbance rejection constraint inequality - is employed, using a three-state minimal patient model. The robustness of the resulted high-order linear controller is demonstrated by nonlinear closed loop simulation in state-space, in case of standard meal disturbances and is compared with Hinfin design implemented with the mu-toolbox of Matlab. The controller designed with model parameters represented the most favorable plant dynamics from the point of view of control purposes, can operate properly even in case of parameter values of the worst-case scenario

[1]  Z Benyó,et al.  Optimal glucose-insulin control in /spl Hscr//sub 2/ space , 2004, The 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[2]  Francis J. Doyle,et al.  Glucose control design using nonlinearity assessment techniques , 2005 .

[3]  Ovide Arino,et al.  Mathematical modelling of the intravenous glucose tolerance test , 2000, Journal of mathematical biology.

[4]  E D Lehmann,et al.  A physiological model of glucose-insulin interaction in type 1 diabetes mellitus. , 1992, Journal of biomedical engineering.

[5]  Yang Kuang,et al.  Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: an overview , 2006 .

[6]  Levente Kovács,et al.  CLASSICAL AND MODERN CONTROL STRATEGIES IN GLUCOSE-INSULIN STABILIZATION , 2005 .

[7]  C. Hann,et al.  Adaptive Bolus-Based Set-Point Regulation of Hyperglycemia in Critical Care , 2004, The 26th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[8]  J. William Helton,et al.  Classical Control Using H∞ Methods: Theory, Optimization, and Design , 1998 .

[9]  Ricardo Femat,et al.  Blood glucose control for type I diabetes mellitus: A robust tracking H∞ problem , 2004 .

[10]  J. Doyle,et al.  Robust and optimal control , 1995, Proceedings of 35th IEEE Conference on Decision and Control.

[11]  John Thomas Sorensen,et al.  A physiologic model of glucose metabolism in man and its use to design and assess improved insulin therapies for diabetes , 1985 .

[12]  R S Parker,et al.  The intravenous route to blood glucose control. , 2001, IEEE engineering in medicine and biology magazine : the quarterly magazine of the Engineering in Medicine & Biology Society.

[13]  E. Kraegen,et al.  Blood Glucose Control by Intermittent Loop Closure in the Basal Mode: Computer Simulation Studies with a Diabetic Model , 1985, Diabetes Care.

[14]  R. Bergman,et al.  Physiologic evaluation of factors controlling glucose tolerance in man: measurement of insulin sensitivity and beta-cell glucose sensitivity from the response to intravenous glucose. , 1981, The Journal of clinical investigation.