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Back Stepping Sliding Mode Control of Blood Glucose for Type I Diabetes

Authors: N. Tadrisi Parsa, A. R. Vali, R. Ghasemi


Diabetes is a growing health problem in worldwide. Especially, the patients with Type 1 diabetes need strict glycemic control because they have deficiency of insulin production. This paper attempts to control blood glucose based on body mathematical body model. The Bergman minimal mathematical model is used to develop the nonlinear controller. A novel back-stepping based sliding mode control (B-SMC) strategy is proposed as a solution that guarantees practical tracking of a desired glucose concentration. In order to show the performance of the proposed design, it is compared with conventional linear and fuzzy controllers which have been done in previous researches. The numerical simulation result shows the advantages of sliding mode back stepping controller design to linear and fuzzy controllers.

Keywords: Nonlinear Control, Sliding Mode Control, bergman model, back stepping

Digital Object Identifier (DOI):

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[1] K. Eskaf, O. Badawi, and T. Ritchings, “Predicting Blood Glucose Levels in Diabetics Using Feature Extraction and Artificial Neural Networks,” in Proc. of Int. Conf. on Information and Communication Technologies: From Theory to Applications, Damascus, Syria, 2008, pp. 1-6.
[2] O. Vega-Hernandez, D. U. Campos-Delgado, and D. R. Espinoza Trejo, “Increasing security in an artificial pancreas: diagnosis of actuator faults” in Proc. of Pan-American Health Care Exchanges Conference, Mexico City, Mexico, 2009, pp. 137-142.
[3] V. R. Kondepati and H. M. Heise, “Recent progress in analytical instrumentation for glycemic control in diabetic and critically ill patients” Anal Bional Chem, 388, pp. 545-563, 2007.
[4] Thomson, S., D. Beaven, M. Jamieson, S. Snively, A.Howl and A. Christophersen, "Type II diabetes: Managing for better health outcomes". in Price Water House Coopers Report, Diabetes New Zealand Inc. 2001.
[5] Topp, B., K. Promislow and G. De Vries, "A model of $-cell mass, insulin and glucose kinetics:"Pathways to diabetes. J. Theor. Bio , 2000, pp.605-619.
[6] S. M. Lynch and B. W. Bequette, “Estimation-based model predictive control of blood glucose in type I diabetics: A simulation study “, Proceedings of the IEEE 27th Annual Northeast Bioengineering Conference, Storrs, CT, USA, 2001, pp. 79-80.
[7] Bergman, R.N., L.S. Philips and C. Cobelli, "Physiologic evaluation of factors controlling glucose tolerance in man". J. Clin. Invest, 1981, pp. 1456-1467.
[8] Li, C. and R. Hu, "PID Control Based on BP Neural Network for the Regulation of Blood Glucose Level in Diabetes", in Proceeding of the 7th IEEE International Conference on Bioinformatics and Bioengineering, Boston, 2007, pp. 1168-1172.
[9] Chee F, Fernando TL, Savkin AV, Heeden VV. "Expert PID control system for blood glucose control in critically ill patients." IEEE Transactions on Information Technology in Biomedicine, 2003, pp.419– 425.
[10] Salzsieder E, Albrecht G, Fischer U, Freyse E-J. "Kinetic modeling of the glucoregulatory system to improve insulin therapy". IEEE Transactions on Biomedical Engineering, 1985; vol.32, pp.846–855.
[11] Parker RS, Doyle III FJ, Peppas NA. "A model-based algorithm for blood glucose control in type I diabetic patients". IEEE Transactions on Biomedical Engineering; vol.46, No.2, 1999, pp.148–157.
[12] Lynch SM, Bequette BW. "Model predictive control of blood glucose in type I diabetes using subcutaneous glucose measurements", in Proceedings of the American Control Conference, Anchorage, AK, U.S.A, May 2002, pp. 4039–4040.
[13] Li, C. and R. Hu,. "PID Control Based on BP Neural Network for the Regulation of Blood Glucose Level in Diabetes", in the 7th IEEE International Conference on Bioinformatics and Bioengineering, Boston, 2007, pp.1168-1172.
[14] Beyki, K., M. Dashti Javan, K. Shojaee and M.M. Neshati, 2010. "An intelligent approach for optimal regulation of blood glucose level." In 17th Iranian Conference of Biomedical Engineering. pp: 1-5.
[15] Yasini, S., M.B. Naghibi-Sistani and A. Karimpour, "Active insulin infusion using fuzzy-based closedloop control", in 3rd International Conference on Intelligent System and Knowledge Engineering, Mashhad, Iran, 2008, pp: 429-434.
[16] D. N. Maryam Abadi ,A. Alfi ,M. Siahi, "An Improved Fuzzy PI Controller for Type 1 Diabetes", Research Journal of Applied Sciences, Engineering and Technology , vol.4, No.21, 2012, pp. 4417-4422.
[17] Parker RS, Peppas NA, Doyle III FJ. "Blood glucose control in type I diabetic patients using the intravenous route". IEE Journal of Engineering in Medicine and Biology, 2001, 20:65–73.
[18] Parker RS, Ward JH, Peppas NA, Doyle III FJ. "Robust H∞ control in diabetes using a physiological model." AlChE Journal, vol.46, No.12, 2000, pp.2537–2545.
[19] Chee F, Savkin AV, Fernando TL, Nahavandi S. "OptimalH-infinity insulin injection control for blood glucose regulation in diabetic patients", IEEE Transactions on Biomedical Engineering , vol.52, No.10, 2005, pp.1625 1631.
[20] Mine M. Ozyetkin ,N Nath ,E Tatlicioglu, Darren M. Dawson, "A New Robust Nonlinear Control Algorithm for the Regulation of Blood Glucose in Diabetic Patients" in IEEE International Conference on Control Applications (CCA) part of 2012 IEEE Multi Conference on Systems and Control October 3-5, 2012. Dubrovnik, Croatia
[21] Kaveh, P. and Shtessel, Y. B, "Blood glucose regulation using higherorder sliding mode control." Int. J. Robust Nonlinear Control, vol.18, 2008, pp. 557–569.
[22] Bolie, V.W, "Coefficients of normal blood glucose regulation". J. Appl. Physiol, 16, 1961, pp. 783-788.
[23] Makrogluo, A., J. Li and Y. Kuang, "Mathematical models and software tools for the glucose-insulin regulatory system and diabetes: An overview". Appl. Numerical Math, 56: 559-573, 2006.
[24] Ahab, A., Y.K. Kong and C. Quek. "Model reference adaptive control on glucose for the treatment of diabetes mellitus". 19th IEEE Symposium on Computer-Based Medical Systems, 2006, pp. 315-320.
[25] Fisher ME. "A semi closed-loop algorithm for the control of blood glucose levels in diabetics". IEEE Transactions on Biomedical Engineering, vol.38, No.1, 1991, pp.57–61.
[26] L. Fridman, J. Moreno, R. Iriarte, "Sliding Modes after the First Decade of the 21st Century", Springer, 2011.