Hybrid newton observer in analysis of glucose regulation system for ICU patients

Abstract

Glucose regulation system is one of the most important problems in ICUs. Nowadays either frequent testing and insulin shots or automatic insulin pumps are used to avoid hyperglycemia even for patients without history of diabetes. As it is impossible to directly measure the glucose level, there is a need for estimation tools ensuring appropriate quality of measurements. In this paper the application of Hybrid Newton Observer is proposed.We use Intensive Care Units Minimal Model in order to estimate the value of sugar level. Three possible approaches to calculating the Jacobian are considered as this task consists the main issue in Newton observer implementation. The analysis is then confirmed with simulation.