Abstract

The current article investigates the possibilities of designing a robust control solution for a control problem related to type 1 diabetes mellitus. The proposed control methodology exploits linear parameter varying, linear matrix inequality, tensor product model transformation and extended Kalman filtering, four advanced control methods in order to guarantee hard safety control constraints for diabetic patients. In this research we have applied an extension of the minimal model to simulate the glucose-insulin dynamics and the glucose and insulin absorption of a diabetic patient. We have validated our results on numerical simulations by using realistic patient data. During the evaluation we have used randomized glucose intakes both in time and amount (as ”unfavorable” disturbance signals). Furthermore, we did a long-term (30 days) assessment to confirm the stability of the proposed framework. The results have shown that the developed controller effectively intervenes into the process and provides appropriate control action by avoiding hypoglycemia thereby satisfying the predefined quantity and quality requirements.

Highlights

  • Nowadays the application of advanced physiological modeling and control have crucial importance in biomedical engineering [1]

  • Examples include the regulation of anesthesia [2], control of blood glucose (BG) level of patients suffering from diabetes mellitus (DM), i.e., the Artificial Pancreas (AP) problem [3], [4] and the regulation of tumor growth [5]

  • In this research we investigate the AP context focusing on Type 1 DM (T1DM) – where the β-cells of the pancreas lost their ability to produce insulin hormone

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Summary

Introduction

Nowadays the application of advanced physiological modeling and control have crucial importance in biomedical engineering [1]. There are many fields in which these solutions can be found in use. Examples include the regulation of anesthesia [2], control of blood glucose (BG) level of patients suffering from diabetes mellitus (DM), i.e., the Artificial Pancreas (AP) problem [3], [4] and the regulation of tumor growth [5]. In case of DM, many challenging aspects occur which have to be kept in mind during the development of solutions for treatment. Several types of DMs exist which have their own specificities and dependencies. The common point among these types of DMs is the malfunction of the metabolic system related to the insulin hormone, more

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