Robust Sliding Mode Closed-loop Glucose Control with Meal Compensation in Type 1 Diabetes Mellitus

Abstract This work addresses the design of a robust closed-loop plasma glucose controller for Type 1 Diabetes Mellitus patients. The feedback controller is based on Sliding Mode Control (SMC) while robust feedforward boluses to compensate food intake are calculated in a robust way by means of an interval glucose predictor that minimizes the risk of hypoglycaemia. The designed controller has been validated in a virtual environment following standard protocols. The resulting control algorithm shows a considerable robustness regarding intra-patient variability in insulin sensitivity as well as an enhanced ability to handle disturbance rejection. The International Diabetes Federation guidelines for glycaemia targets in Diabetes Mellitus are fulfilled by the designed control strategy.

[1]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[2]  G. Steil,et al.  Feasibility of Automating Insulin Delivery for the Treatment of Type 1 Diabetes , 2006, Diabetes.

[3]  Y. Z. Ider,et al.  Quantitative estimation of insulin sensitivity. , 1979, The American journal of physiology.

[4]  S. Genuth,et al.  The effect of intensive treatment of diabetes on the development and progression of long-term complications in insulin-dependent diabetes mellitus. , 1993, The New England journal of medicine.

[5]  R S Parker,et al.  The intravenous route to blood glucose control. , 2001, IEEE engineering in medicine and biology magazine : the quarterly magazine of the Engineering in Medicine & Biology Society.

[6]  G. Steil,et al.  Closed-loop insulin delivery-the path to physiological glucose control. , 2004, Advanced drug delivery reviews.

[7]  R. Hovorka,et al.  Partitioning glucose distribution/transport, disposal, and endogenous production during IVGTT. , 2002, American journal of physiology. Endocrinology and metabolism.

[8]  Giovanni Sparacino,et al.  Numerical non-identifiability regions of the minimal model of glucose kinetics: superiority of Bayesian estimation. , 2003, Mathematical biosciences.

[9]  R. Hovorka,et al.  Nonlinear model predictive control of glucose concentration in subjects with type 1 diabetes. , 2004, Physiological measurement.

[10]  Ricardo Femat,et al.  Fuzzy-Based Controller for Glucose Regulation in Type-1 Diabetic Patients by Subcutaneous Route , 2006, IEEE Transactions on Biomedical Engineering.

[11]  Vadim I. Utkin,et al.  Sliding Modes in Control and Optimization , 1992, Communications and Control Engineering Series.

[12]  S. Colagiuri,et al.  New International Diabetes Foundation (IDF) Guideline Includes Recommendations for the Management of Postmeal Glucose , 2007 .

[13]  P. G. Fabietti,et al.  Virtual type 1 diabetic patient for feedback control systems , 2006 .

[14]  Ricardo Femat,et al.  Blood glucose control for type I diabetes mellitus: A robust tracking H∞ problem , 2004 .

[15]  Dale E. Seborg,et al.  I. Glucose control strategies for treating type 1 diabetes mellitus , 2007 .

[16]  Claudio Cobelli,et al.  Meal Simulation Model of the Glucose-Insulin System , 2007, IEEE Transactions on Biomedical Engineering.

[17]  Gary Scheiner,et al.  Characteristics of basal insulin requirements by age and gender in Type-1 diabetes patients using insulin pump therapy. , 2005, Diabetes research and clinical practice.

[18]  B. Bequette.  A critical assessment of algorithms and challenges in the development of a closed-loop artificial pancreas. , 2005, Diabetes technology & therapeutics.

[19]  Malgorzata E. Wilinska,et al.  Evaluation of glucose controllers in virtual environment: methodology and sample application , 2004, Artif. Intell. Medicine.

[20]  Malgorzata E. Wilinska,et al.  Roadmap to the artificial pancreas , 2006 .

[21]  Oscar Camacho,et al.  Some long time delay sliding mode control approaches. , 2007, ISA transactions.

[22]  John Thomas Sorensen,et al.  A physiologic model of glucose metabolism in man and its use to design and assess improved insulin therapies for diabetes , 1985 .

[23]  Roman Hovorka.  Management of diabetes using adaptive control , 2005 .

[24]  A. Zinober.  Variable Structure and Lyapunov Control , 1994 .

[25]  R. Calm,et al.  Prediction of glucose excursions under uncertain parameters and food intake in intensive insulin therapy for type 1 diabetes mellitus , 2007, 2007 29th Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[26]  R. Hovorka.  Continuous glucose monitoring and closed‐loop systems , 2006, Diabetic medicine : a journal of the British Diabetic Association.