Robust fix-point transformation method in case of type 1 diabetes control

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Dr. Harmati István
Department of Control Engineering and Information Technology

Both the number and the incidence rate of diabetics are quite high in the developed countries. In Europe this rate is 4-6% of the population, while in the USA it is 6-8%. Diabetics can be divided into subgroups. My Diploma work deals with patients with type-1 diabetes. The ratio of these people to all the diabetics is around 10%. Not only the great number is worrisome, but also the fact that their number increases sharply and, according to the forecasts, will double by approximately 2040.

Serious diabetics are treated by external insulin intake. Insulin pumps dose the necessary amount of insulin into the body based on the model of glucose- insulin system. More and more precise descriptions are published on the metabolism of the human body recently. The model that I have used is based on great number of clinical measurements and can be divided to compartments, therefore it consists of several parametric subsystems. I have examined the possibility of keeping the blood sugar in normal range with a simulation system that I have created. The simulation system contains the model and the related regulator.

The Robust Fixpoint Transformation, which can realize adaptive regulation, is very usable for systems, whose parameters change over time or unknown. In my Diploma work, I have created a blood sugar regulation that is based on the Robust Fixpoint Transformation in Matlab Simulink environment. The transformation is based on the expected-realized answer. During the simulations, I have used blood sugar values of clinical patients in order to get results as close to reality as possible.


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