Robust servo control of a novel type 1 diabetic model

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

Research output: Contribution to journalArticle

26 Citations (Scopus)

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
Pages (from-to)215-238
Number of pages24
JournalOptimal Control Applications and Methods
Volume32
Issue number2
DOIs
Publication statusPublished - 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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