Robust Polytopic-LPV Body-Weight-Dependent Control of Blood Glucose in Type-1 Diabetes
| Autor: | Saleh Mobayen, Mohammad Hassan Asemani, Navid Vafamand, Gisela Pujol-Vazquez |
|---|---|
| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
General Computer Science
Observer (quantum physics) Informàtica::Automàtica i control [Àrees temàtiques de la UPC] Quadratic lyapunov function Linear parameter varying (LPV) model Quantitative Biology::Tissues and Organs Controladors programables Linear matrix Glucose-insulin system Body weight Stability (probability) linear parameter varying (LPV) model Bergman model glucose-insulin system Robustness (computer science) Control theory body-weight effect medicine Blood sugar -- Control -- Mathematical models General Materials Science Dynamic output controller Programmable controllers Mathematics Type 1 diabetes dynamic output controller General Engineering medicine.disease TK1-9971 Body-weight effect Glucèmia -- Control - Models matemàtics Electrical engineering. Electronics. Nuclear engineering |
| Zdroj: | IEEE Access, Vol 9, Pp 96367-96379 (2021) UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| ISSN: | 2169-3536 |
| Popis: | This paper presents a robust $\boldsymbol {H}_{\infty }$ polytopic Linear Parameter Varying (LPV) controller to regulate the blood glucose level in type-1 diabetes patients. The suggested approach utilizes an observer-based controller and polytopic inexact gain-scheduling scheme to construct the stabilizing injecting insulin resilient against the external meal and snack disturbance in Silico. To assure the closed-loop stability and prescribed $\boldsymbol {H}_{\infty }$ performance, a Quadratic Lyapunov Function (QLF) is used and the stabilization conditions are derived in terms of Linear Matrix Inequalities (LMIs). The conventional minimal Bergman model is improved by considering the effect of body-weight on the glucose-insulin phenomenon and the new body-weight functions are identified based on real data. Then, for the body-weight-dependent Bergman model, a polytopic-LPV model is obtained. Simulations show the advantages of the developed glucose-insulin model and the robustness of the suggested controller in dealing with the effects of a meal for patients with different weights and avoiding hypoglycemia and hyperglycemia disorders. |
| Databáze: | OpenAIRE |
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