Design and Analysis of a Sliding Table Controller for Diabetes

Ahmed Y. Ben Sasi, Mahmud A. Elmalki

The College of Industrial Technology, Misurata, Libya.
The University of Misurata, Misurata, Libya.

DOI: 10.4236/ica.2013.43035                

Abstract

A discrete insulin infusion based on long-time interval measurement is the classic technique for diabetes treatment. Nevertheless, in this research, a closed-loop control system was proposed for continuous drug infusion to overcome the drawbacks of these typical discrete methods and develop more practical diabetes therapy systems. A blood glucose-insulin system was implemented relying on continuous insulin injection model. Based on this model, two controllers were designed to deal with the control dilemma of the resulting highly nonlinear plant. The controllers designed in this paper are: proportional integral derivative (PID), and sliding table controllers. Simulation results have shown that the sliding table controller can outperform the PID controller even with severe circumstances of disturbance in glucose, such as exercise, delay or noise in glucose sensor and nutrition mixed meal absorption at meal times.

Keywords

Sliding Table Controller; PID Controller; Blood Glucose-Insulin System; Diabetes

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	A. Roy, “Dynamic Modeling of Free Fatty Acid, Glucose, and Insulin during Rest and Exercise in Insulin Depend ent Diabetes Mellitus Patients,” University of Pittsburgh, Pittsburgh, 2008.
[2]	E. S. Berger, “Modelling Diabetes to Achieve Closed Loop Control of Glucose Levels: A Literature Review,” Penn State Great Valley, School of Graduate Professional Studies, Malvern, 2007.
[3]	J. Chen, K. Cao, Y. Sun, Y. Xiao and X. Su, “Continuous Drug Infusion for Diabetes Therapy: A Closed-Loop Con trol System Design,” Eurasip Journal on Wireless Com munications and Networking, Vol. 2008, No. 44, 2008, Article ID: 495185.
[4]	L. Kardar, A. Fallah, S. Gharibzadeh and F. Moztarzadeh, “Application of Fuzzy Logic Controller for Intensive In sulin Therapy in Type 1 Diabetic Mellitus Patients by Sub cutaneous Route,” WSEAS Transactions on Systems and Control, Vol. 3, No. 9, 2008, pp. 712-721.
[5]	E. D. Lehman and T. Deutsch, “The Physiological Model of Glucose-Insulin Interaction in T1DM,” Journal of Biomedical Engineering, Vol. 14, No. 3, 1992, pp. 235-242. doi:10.1016/0141-5425(92)90058-S
[6]	E. Berger, “Modeling Diabetes to Achieve Closed-Loop Control of Glucose Levels: A Literature Review,” Penn sylvania State University, Pennsylvania, 2007.
[7]	E. Friis, “Modeling and Simulation of Glucose-Insulin Metabolism,” Technical University of Denmark, Kongens Lyngby, 2007.
[8]	C. Frederick and F. Tyrone, “Closed-Loop Control of Blood Glucose,” Springer Verlag Berlin Heidelberg, Ber lin, 2007.