Markov jump modelling and control of stress effects on the blood glucose regulation system

Nasibeh Zohrabi, Hamid Reza Momeni, Hasan Zakeri

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

Diabetes mellitus is a group of metabolic diseases in which there is a malfunction in blood glucose regulatory system. Stress is a random process and has an important role in raising blood sugar level. In this paper, we modify the Bergman's minimal model to include stress effects as a random process and rewrite the equations to include model uncertainty as well as unknown nonlinear function. Based on a singular system approach, the problems of stochastic stability and robust sliding mode control for blood glucose regulation as a Markov jump system are considered. Therefore control and regulation of glucose-insulin system with respect to stress effects are possible, i.e. blood's plasma glucose and insulin levels reach their basal values. Finally, the simulation result is given to show the potentials of the proposed method.

Original languageEnglish (US)
Title of host publicationICEE 2012 - 20th Iranian Conference on Electrical Engineering
Pages985-989
Number of pages5
DOIs
StatePublished - 2012
Event20th Iranian Conference on Electrical Engineering, ICEE 2012 - Tehran, Iran, Islamic Republic of
Duration: May 15 2012May 17 2012

Publication series

NameICEE 2012 - 20th Iranian Conference on Electrical Engineering

Conference

Conference20th Iranian Conference on Electrical Engineering, ICEE 2012
Country/TerritoryIran, Islamic Republic of
CityTehran
Period5/15/125/17/12

All Science Journal Classification (ASJC) codes

  • Electrical and Electronic Engineering

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