LMI-Based Approaches for the Calibration of Continuous Glucose Measurement Sensors

Harald Kirchsteiger, Luca Zaccarian, Eric Renard, Luigi Del Re

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


The problem of online calibration and recalibration of continuous glucose monitoring (CGM) devices is considered. Two different parametric relations between interstitial and blood glucose are investigated and constructive algorithms to adaptively estimate the parameters within those relations are proposed. One characteristic is the explicit consideration of measurement uncertainty of the device used to collect the calibration measurements. Another feature is the automatic detection of fingerstick measurements that are not suitable to be used for calibration. Since the methods rely on the solution of linear matrix inequalities resulting in convex optimization problems, the algorithms are of moderate computational complexity and could be implemented on a CGM device. The methods were assessed on clinical data from 17 diabetic patients and the improvements with respect to the current state of the art is shown.

Original languageEnglish
Article number6867284
Pages (from-to)1697-1706
Number of pages10
JournalIEEE Journal of Biomedical and Health Informatics
Issue number5
Publication statusPublished - 1 Sept 2015
Externally publishedYes


  • Continuous glucose measurement
  • diabetes
  • sensor recalibration
  • Blood Glucose/analysis
  • Algorithms
  • Humans
  • Signal Processing, Computer-Assisted
  • Calibration
  • Diabetes Mellitus
  • Monitoring, Ambulatory/methods


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