Design of Second Order Sliding Mode for Glucose Regulation Systems with Disturbance

  • Authors

    • Amjad Jaleel Humaidi
    • Sami Hasan
    • Ammar Abdulhussein Al-Jodah
    2018-05-16
    https://doi.org/10.14419/ijet.v7i2.28.12936
  • Sliding mode control, Integral sliding mode control, Second order sliding mode control

  • Abstract

    In this work, Design of second order sliding mode control has been developed to control the diabetic glucose concentration level under disturbing meal has been controlled using three sliding mode controllers. A comparative study of three sliding mode controllers is made in terms of robustness characteristics due to meal feeding. The first is the classical sliding mode controller, the second is integral sliding mode controller and the third is the second order sliding mode controller. Due to their characteristic features of disturbance rejection, all the three sliding mode controllers are presented here for comparison. The Bergman minimal mathematical model is used to describe the dynamic behavior of blood glucose concentration due to insulin regulator injection. Simulations, based on MATLAB/Simulink, were performed to verify the performance of each controller. It has been shown that integral and second order sliding mode controllers are the best of all in terms of disturbance rejection capability.

     

  • References

    1. [1] L. Kovács and B. Paláncz, “Glucose-insulin control of type1 diabetic patients in H 2/H∞ space via computer algebra,†in International Conference on Algebraic Biology, 2007, pp. 95–109.

      [2] A. A. Abejew, A. Z. Belay, and M. W. Kerie, “Diabetic complications among adult diabetic patients of a Tertiary Hospital in Northeast Ethiopia,†Adv. Public Heal., vol. 2015, 2015.

      [3] J. P. Warade, “Fasting blood glucose level higher than post-meal in healthy subjects: a study of 738 subjects,†World J. Pharm. Res., vol. 3, no. 4, 2014.

      [4] P. Keith-Hynes, B. Mize, A. Robert, and J. Place, “The Diabetes Assistant: a smartphone-based system for real-time control of blood glucose,†Electronics, vol. 3, no. 4, pp. 609–623, 2014.

      [5] H. Thabit and R. Hovorka, “Closed-loop insulin delivery in type 1 diabetes,†Endocrinol. Metab. Clin., vol. 41, no. 1, pp. 105–117, 2012.

      [6] C. Li and R. Hu, “PID control based on BP neural network for the regulation of blood glucose level in diabetes,†in Bioinformatics and Bioengineering, 2007. BIBE 2007. Proceedings of the 7th IEEE International Conference on, 2007, pp. 1168–1172.

      [7] M. O. M. Javad, S. Agboola, K. Jethwani, I. Zeid, and S. Kamarthi, “Reinforcement Learning Algorithm for Blood Glucose Control in Diabetic Patients,†in ASME 2015 International Mechanical Engineering Congress and Exposition, 2015, p. V014T06A009--V014T06A009.

      [8] K. Turksoy, S. Samadi, J. Feng, E. Littlejohn, L. Quinn, and A. Cinar, “Meal detection in patients with type 1 diabetes: a new module for the multivariable adaptive artificial pancreas control system,†IEEE J. Biomed. Heal. informatics, vol. 20, no. 1, pp. 47–54, 2016.

      [9] S. Sankaranarayanan, S. A. Kumar, F. Cameron, B. W. Bequette, G. Fainekos, and D. M. Maahs, “Model-based falsification of an artificial pancreas control system,†ACM SIGBED Rev., vol. 14, no. 2, pp. 24–33, 2017.

      [10] J. Morales-Contreras, E. Ruiz-Velázquez, and J. A. Garcia-Rodriguez, “Robust glucose control via μ-synthesis in type 1 diabetes mellitus,†in Power, Electronics and Computing (ROPEC), 2017 IEEE International Autumn Meeting on, 2017, pp. 1–6.

      [11] J. Baranowski, P. Bania, W. Bauer, J. Chiliński, and P. Pikatek, “Hybrid Newton Observer in Analysis of Glucose Regulation System for ICU Patients,†in Polish Control Conference, 2017, pp. 818–827.

      [12] A. Hachana and M. N. Harmas, “Terminal Synergetic Control for Blood Glucose Regulation in Diabetes Patients,†J. Dyn. Syst. Meas. Control, vol. Accepted Paper, 2018.

      [13] A. K. Patra and P. K. Rout, “Backstepping sliding mode Gaussian insulin injection control for blood glucose regulation in type I diabetes patient,†J. Dyn. Syst. Meas. Control, vol. 140, no. 9, p. 91006, 2018.

      [14] W. Alam, N. Ali, S. Ahmad, and J. Iqbal, “Super twisting control algorithm for blood glucose regulation in type 1 diabetes patients,†in Applied Sciences and Technology (IBCAST), 2018 15th International Bhurban Conference on, 2018, pp. 298–303.

      [15] B. F. Midhat and A. J. Humaidi, “Performance Comparison of Different Advanced Control Schemes for Glucose Level Control under Disturbing Meal,†Al-Khwarizmi Eng. J., vol. 13, no. 3, pp. 55–63, 2017.

      [16] V. Kirubakaran, T. Radhakrishnan, and N. Sivakumaran, “Multi-parametric model predictive control-based regulation of blood glucose in type 1 diabetics under unmeasured meal disturbances: a simulation study,†Int. J. Biomed. Eng. Technol., vol. 14, no. 2, pp. 105–118, 2014.

      [17] L. Kovacs, B. Palancz, E. Borbely, B. Benyó, and Z. Benyó, “Robust Control Algorithm for Blood Glucose Control Using Mathematica,†Acta Electrotech. Inform., vol. 10, no. 2, pp. 10–15, 2010.

      [18] Sandhya and D. Kumar, “Mathematical Model for Glucose-Insulin Regulatory System of Diabetes Mellitus,†Adv. Appl. Math. Biosci., vol. 2, no. 1, pp. 39–46, 2011.

      [19] V. Utkin, J. Guldner, and J. Shi, Sliding mode control in electro-mechanical systems. CRC press, 2009.

      [20] I. Eker, “Second-order sliding mode control with PI sliding surface and experimental application to an electromechanical plant,†Arab. J. Sci. Eng., vol. 37, no. 7, pp. 1969–1986, 2012.

      [21] G. Bartolini, A. Pisano, and E. Usai, “On the second-order sliding mode control of nonlinear systems with uncertain control direction,†Automatica, vol. 45, no. 12, pp. 2982–2985, 2009.

  • Downloads

  • How to Cite

    Jaleel Humaidi, A., Hasan, S., & Abdulhussein Al-Jodah, A. (2018). Design of Second Order Sliding Mode for Glucose Regulation Systems with Disturbance. International Journal of Engineering & Technology, 7(2.28), 243-247. https://doi.org/10.14419/ijet.v7i2.28.12936

    Received date: 2018-05-17

    Accepted date: 2018-05-17

    Published date: 2018-05-16