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.
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Kamath, S., George, V.I., Vidyasagar, S. (2008). Blood Glucose Control In Type I Diabetics: An Output Feedback Approach. In: Abu Osman, N.A., Ibrahim, F., Wan Abas, W.A.B., Abdul Rahman, H.S., Ting, HN. (eds) 4th Kuala Lumpur International Conference on Biomedical Engineering 2008. IFMBE Proceedings, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69139-6_165
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DOI: https://doi.org/10.1007/978-3-540-69139-6_165
Publisher Name: Springer, Berlin, Heidelberg
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