Title: Multi-parametric model predictive control-based regulation of blood glucose in type 1 diabetics under unmeasured meal disturbances: a simulation study

Authors: Velswamy Kirubakaran; T.K. Radhakrishnan; Natarajan Sivakumaran

Addresses: Department of Chemical Engineering, National Institute of Technology, Tiruchirappalli 620015, India ' Department of Chemical Engineering, National Institute of Technology, Tiruchirappalli 620015, India ' Department of Instrumentation and Control Engineering, National Institute of Technology, Tiruchirappalli 620015, India

Abstract: Closed-loop control of Blood Glucose Concentration (BGC) is performed using a model differencing-based multi-parametric model predictive controller. An empirical model derived from a virtual nominal patient is used in the design of the controller. A time varying hard constraint is imposed on the control action based on insulin onboard criterion. By varying the model parameters used in the Sorensen's patient model, 25 virtual patients are created. Varying meal disturbances over a period of five days, the Mean Square Error (MSE) of BGC's deviation from reference (100 mg/dL) is used to tune the controller. In-silico trials with simulated sensor noise (± 20 mg/dL range) show that the multi-parametric model predictive controller performs well under model uncertainties and also regulates the BGC within the safe limits (above 60 mg/dL) during multiple meal disturbances.

Keywords: multi-parametric MPC; model predictive control; in-silico; T1DM; type 1 diabetes mellitus; insulin onboard; blood glucose regulation; diabetics; unmeasured meal disturbances; simulation; controller design; virtual patients; model uncertainties; modelling.

DOI: 10.1504/IJBET.2014.059342

International Journal of Biomedical Engineering and Technology, 2014 Vol.14 No.2, pp.105 - 118

Received: 22 Oct 2013
Accepted: 17 Jan 2014
Published online: 16 Oct 2014 *

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