Robust servo control of a novel type 1 diabetic model

L. Kovács, B. Kulcsár, A. György, Z. Benyõ

Research output: Contribution to journalArticle

Abstract

Robust servo control of a model-based biomedical application is presented in the article. The glucose-insulin control of type 1 diabetic patients is considered to be solved using the results of post-modern robust control principles. The paper uses a recently published glucose-insulin model and presents the transformation of the model to describe the dynamics of type 1 diabetes mellitus. The nonlinear plant is then linearized at a given steady state point. In order to characterize the uncertainty around the nominal model in frequency domain, a parametric nonlinear model sensitivity analysis is performed using gridding method. The aim of the paper is to underline the viability of the robust servo, linear Âμ-control algorithm tested in highly nonlinear closed-loop simulation environment. Using two degree-of-freedom robust controller, the structured singular value of the closed-loop is designed to fulfill the robust performance requirements and assure glucose level control. Glucose level tracking is ensured under simulated and realistic exogenous meal disturbances.

Original languageEnglish (US)
Pages (from-to)215-238
Number of pages24
JournalOptimal Control Applications and Methods
Volume32
Issue number2
DOIs
StatePublished - Mar 1 2011

Keywords

  • glucose tracking
  • robust control
  • type 1 diabetes
  • uncertainty
  • Âμ-synthesis

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Control and Optimization
  • Applied Mathematics

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