Comparison of Bergman and AMM mathematical models in the control of type 1 diabetes using type 2 fuzzy system

reza gholizadeh¹ ali vahidian kamyad²

1) M.Sc. student in electrical engineering, islamic azad university of gonabad, iran.
2) full Professor, applied mathematics, ferdowsi university of mashhad, iran.

Publication : International Conference on Science and Engineering(icesconf.com)
Abstract :
Type 1 diabetes, due to insufficient production or sometimes lack of insulin production by the pancreas that raises blood glucose concentration, it can lead to many complicated disorders in long time including heart disease, malfunction of kidney, decreasing eye vision, skin problems and etc. In this paper, the aim of designing a suitable controller with respect to disturbances and parameter changes into the system so that the blood glucose concentration in the normal adjustment. Furthermore, a nonlinear system of equations related to diabetes based on two well-known approach, augmented minimal model and bergman model are employed. These two models are used to compare the performance of each model and show how the models work efficiently under a proposed controller. The analytical and numerical solutions of nonlinear systems are complicated and sometimes even impossible. Therefore, for the best answer to these systems, we solved this system by genetic algorithm. For the control of blood glucose during the process and uncertainties that do not fluctuate systems of type2 fuzzy system as well as for reducing the conclusion type 2 fuzzy system, we used karnik mendel algorithm. Simulation results show that the proposed controller can regulate blood glucose to normal level.
Keywords : type 1 diabetes augmented minimal model bergman model type 2 fuzzy system