Multi-objective control of blood glucose with \(\hbox {H}_{\infty }\) and pole-placement constraint

  • Sharmistha Mandal
  • Ashoke Sutradhar


In this paper, a robust multi-objective controller is designed with \(\hbox {H}_{\infty }\) control and pole-placement constraints for the nonlinear glucose-insulin process in a type-1 diabetes patient to deliver insulin through intravenous infusion device. The concept of linear matrix inequality has been used for designing the controller. The modified Sorenson’s nonlinear model has been used and the controller is designed on \(19\mathrm{th}\) order linearized model. The resulting controller has been tested with the nonlinear patient model in presence of patient parameter variations and other uncertainty conditions. The performance of the controller was assessed in terms of its ability to track the normoglycaemic set point of 81 mg/dl with multi-meal disturbance throughout a day that yields robust performance and noise rejection.


Diabetes mellitus Glucose-insulin process \(\hbox {H}_{\infty }\) control Linear matrix inequality Robust pole-placement 



This work has been carried out in Electrical Engineering Department, BESU, Shibpur, Howrah as a part of thrust area research in ‘Smart Instrumentation and Control’ supported by the Special Assistance Programme of UGC, Government of India.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Electrical EngineeringAliah UniversityKolkataIndia
  2. 2.Department of Electrical Engineering & Center for Healthcare Science & TechnologyIIEST, ShibpurHowrahIndia

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