Control of blood glucose concentration in type-I diabetic patients applying Hamilton Jacobi and Sliding Mode techniques

Approximately 171 million people in the world suffer of diabetes mellitus and it has become an important social problem that has shown to be in continuous growing. For that strong reason it is presented a control description based on Hamilton-Jacobi technique (HJT) and sliding mode approach (SMA) working jointly with a nonlinear observer (NO), carried out with differential neural networks (DNN) and sliding mode approach, the one which has proven to be useful in real medical procedures to expense of the mathematical model that describes the glucose-insulin dynamics is similar to the real insulin patients response. This Hamilton Jacobi and sliding mode control (HJSMC) gives us the exact dosage that ought to be given to a patient with the purpose of maintaining controlled the blood glucose concentration in normal values.