Conference paper
Nonlinear Model Predictive Control and Artificial Pancreas Technologies
A single-hormone artificial pancreas (AP) for people with type 1 diabetes consists of a continuous glucose monitor (CGM), a control algorithm, and an insulin pump for administration of fast acting insulin. In this paper, we describe a control algorithm based on nonlinear model predictive control (NMPC) and demonstrate its performance by simulation using an ensemble of virtual patients.
The NMPC is based on: 1) a novel formulation of the objective function separating the computed insulin into basal insulin and bolus insulin; 2) a continuous-discrete time model, where continuous stochastic differential equations describe identifiable insulin-glucose dynamics in the body and the observations by the CGM are at discrete times; 3) a nonlinear filtering and prediction algorithm for the continuous-discrete system that is used both offline for identification of the system and online for state estimation; 4) computationally efficient and robust optimization algorithms for the numerical solution of constrained optimal control problems.
The algorithm provides insight into the principles for optimal regulation of the glucose concentration for people with type 1 diabetes.
| Language: | English |
|---|---|
| Publisher: | IEEE |
| Year: | 2018 |
| Pages: | 284-290 |
| Proceedings: | 57th IEEE Conference on Decision and Control |
| ISBN: | 1538613948 , 1538613956 , 1538613964 , 9781538613948 , 9781538613955 and 9781538613962 |
| ISSN: | 25762370 and 07431546 |
| Types: | Conference paper |
| DOI: | 10.1109/CDC.2018.8619521 |
| ORCIDs: | Boiroux, Dimitri and Jørgensen, John Bagterp |
CGM Computational modeling Heuristic algorithms Insulin Linear programming NMPC Optimal control Prediction algorithms Sugar artificial organs artificial pancreas technologies basal insulin biochemistry blood bolus insulin computed insulin constrained optimal control problems continuous glucose monitor continuous stochastic differential equations continuous-discrete system continuous-discrete time model control algorithm differential equations discrete times diseases glucose concentration identifiable insulin-glucose dynamics insulin pump medical control systems nonlinear control systems nonlinear filtering nonlinear filters nonlinear model predictive control numerical solution optimal control optimisation patient monitoring prediction algorithm predictive control robust optimization algorithms single-hormone artificial pancreas state estimation stochastic processes sugar type 1 diabetes virtual patients
