Parameter and State Estimation of a Mathematical Model of Carbohydrate Intake

Carbohydrate intake is one of the main disturbances in blood glucose metabolism and one of the major care-issues in diabetes therapy. For this reason, the dynamics of glucose absorption after a meal intake must be included in glucose metabolism models. Current interest in developing patient-specific models has shown the necessity to estimate key parameters in models of carbohydrate intake, which cannot be measured with available sensor technology. In this contribution, we present a scheme to estimate a parameter and a state related to absorption of glucose in the intestine, which depend on the amount of carbohydrates ingested in a meal. The scheme is based on an adaptive observer with exponential convergence to estimate states and uncertain constant parameters. (C) 2018, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.