Abstract

A robust H∞ controller was developed to deliver insulin via a mechanical pump in Type I diabetic patients. A fundamental nonlinear diabetic patient model was linearized and then reduced to a third-order linear form for controller synthesis. H∞ control was applied for the insulin delivery to prevent the hyperglycemic levels in Type I diabetic patient. Uncertainty in the nonlinear model was characterized by up to ±40% variation in eight physiological parameters. A sensitivity analysis identified the three parameter set having the most significant effect on glucose and insulin dynamics over the frequency range of interest [0.02 0.2](rad/min). This uncertainty was represented in the frequency domain and incorporated in the controller design. The controller performance was assessed in terms of its ability to track a normoglycemic set point(81.1 mg/dL) in response to a 50 g meal disturbance. In the nominal continuous-time case, controller maintained glucose concentrations within ± 3.3 mg/dL of set point. A controller tuned to accommodate uncertainty yielded a maximum deviation of 17.6 mg/dL for the worst-case parameter variation.

Original languageEnglish
Title of host publication4th Kuala Lumpur International Conference on Biomedical Engineering 2008, Biomed 2008
Pages661-664
Number of pages4
Volume21 IFMBE
Edition1
DOIs
Publication statusPublished - 2008
Event4th Kuala Lumpur International Conference on Biomedical Engineering 2008, Biomed 2008 - Kuala Lumpur, Malaysia
Duration: 25-06-200828-06-2008

Conference

Conference4th Kuala Lumpur International Conference on Biomedical Engineering 2008, Biomed 2008
CountryMalaysia
CityKuala Lumpur
Period25-06-0828-06-08

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All Science Journal Classification (ASJC) codes

  • Biomedical Engineering
  • Bioengineering

Cite this

Kamath, S., George, V. I., & Vidyasagar, S. (2008). Blood glucose control in type I diabetics: An output feedback approach. In 4th Kuala Lumpur International Conference on Biomedical Engineering 2008, Biomed 2008 (1 ed., Vol. 21 IFMBE, pp. 661-664) https://doi.org/10.1007/978-3-540-69139-6-165