Classical and Modern Control Strategies in Glucose-Insulin Stabilization
| Authors: | Kovacs Levente, Budapest University of Technology and Economics, Hungary
Paláncz Béla, Budapest University of Technology and Economics, Hungary
Benyó Zoltán, Budapest University of Technology and Economics, Hungary |
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| Topic: | 8.2 Modelling & Control of Biomedical Systems |
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| Session: | Control Application to Life Medicine II |
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| Keywords: | diabetes mellitus, disturbance rejection method, glucose-insulin control, H2/H∞ control, minimax control, nonlinear control, Pontryagin's maximum principle, symbolic computation |
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Abstract
This paper presents an analysis of classical and modern control methods for blood glucose control of diabetic patients under intensive care. Employing a modified two- compartment model proposed by Bergman, et al. (1979), linear feedback control law leads to a fully symbolic solution. In case of nonlinear approach, considering glucose injection as the only control variable and using Pontryagin's maximum principle, a symbolic-numeric solution has been achieved. As modern control strategy, optimal glucose-insulin control in the H2/H∞-space is presented using LQ and disturbance rejection LQ methods, which result in a numerical solution to the control problem. Copyright © 2005 IFAC.
