The paper investigates the problem of the optimal tracking of a desired plasma glucose evolution by means of a continuous intravenous infusion. The model for the glucose-insulin system here adopted, and recently published, belongs to the class of nonlinear single-distributed delay models. The closed-loop control law is performed according to the feedback linearization theory: a state-feedback is designed in order to exactly linearize the model with respect to a suitably defined change of coordinates. Then, the optimal tracking is achieved by minimizing a performance index. The methodology here proposed allows both to decrease and increase the glycemia. Simulations support theoretical results and show the physical reliability of the approach proposed.
Palumbo, P., De Gaetano, A. (2006). A closed-loop optimal control of the plasma glycemia. In Proceedings of the IEEE Conference on Decision and Control (pp.679-684). Institute of Electrical and Electronics Engineers Inc. [10.1109/CDC.2006.377737].
A closed-loop optimal control of the plasma glycemia
Palumbo, P;
2006
Abstract
The paper investigates the problem of the optimal tracking of a desired plasma glucose evolution by means of a continuous intravenous infusion. The model for the glucose-insulin system here adopted, and recently published, belongs to the class of nonlinear single-distributed delay models. The closed-loop control law is performed according to the feedback linearization theory: a state-feedback is designed in order to exactly linearize the model with respect to a suitably defined change of coordinates. Then, the optimal tracking is achieved by minimizing a performance index. The methodology here proposed allows both to decrease and increase the glycemia. Simulations support theoretical results and show the physical reliability of the approach proposed.File | Dimensione | Formato | |
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2006-12 CDC-San_Diego - Optimal Glucose Control - Speaker.pdf
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