Vakili, S., Toosian Shandiz, H.. (1398). Fractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control. هنرهای کاربردی, 10(2), 1-10. doi: 10.22075/ijnaa.2019.4067
S. Vakili; H. Toosian Shandiz. "Fractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control". هنرهای کاربردی, 10, 2, 1398, 1-10. doi: 10.22075/ijnaa.2019.4067
Vakili, S., Toosian Shandiz, H.. (1398). 'Fractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control', هنرهای کاربردی, 10(2), pp. 1-10. doi: 10.22075/ijnaa.2019.4067
Vakili, S., Toosian Shandiz, H.. Fractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control. هنرهای کاربردی, 1398; 10(2): 1-10. doi: 10.22075/ijnaa.2019.4067

Fractional Order Glucose Insulin System Using Fractional Back-Stepping Sliding Mode Control

International Journal of Nonlinear Analysis and Applications
مقاله 21، دوره 10، شماره 2، اسفند 2019، صفحه 1-10    اصل مقاله (368.73 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2019.4067
نویسندگان
S. Vakili* 1؛ H. Toosian Shandiz2
1Department of Electrical Engineering, Shahrood University of Technology, Shahrood, Iran
2Department of Electrical Engineering, Ferdowsi University of Mashahd, Mashhad, Iran
چکیده
In this paper, based on a fractional order Bergman minimal model, a robust strategy for regulation of blood glucose in type 1 diabetic patients is presented. Glucose/insulin concentration in the patient body is controlled through the injection under the patients skin by the pump. Many various controllers for this system have been proposed in the literature. However, most of them have consider the system as an integer order system. Moreover, the majority of the presented methods suffer from an important disadvantage that is long settling time of the control system. Thus, the contribution of
this paper in comparison with previous related works is presenting a fractional back-stepping sliding mode control that considerably reduces the required time for glucose to reach its desired level. Due to the sliding mode design, the proposed controller is robust against external disturbances. Due to the back-stepping design, convergence of each state variable of the system to its desired value can be guaranteed separately. Simulation results verify the satisfactory performance of the proposed controller.
کلیدواژه‌ها
Fractional order control؛ sliding mode control؛ back-stepping design؛ blood glucose regulation؛ Fractional Bergman minimal model؛ Lyapunov fractional
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