LMI-based Online Estimation of a Time-varying Time-delay in Continuous Glucose Measurement Devices

CDC 2014: 53rd IEEE Conference on Decision and Control, pp. 6981-6986, 2014
Author(s):Kirchsteiger H., Efendic H., Freckmann G., Del Re L.
We propose an online method to estimate the time-dependent time-delay of continuous glucose measurement devices. The problem is characterized by one delayed signal which is sampled continuously, and a reference signal which is only available for measurement at (few) irregular time samples. The method makes use of a forgetting function to be able to quickly adapt to changes in the time-delay. A simulation example and the application to blood glucose concentration data obtained from type 1 diabetic subjects, where it is of interest to estimate the time-delay of the continuous glucose measurement device, show the usefulness and effectiveness of the proposed method.
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