Dynamic output nonfragile reliable control for nonlinear fractional-order glucose–insulin system

Nonlinear Analysis

Yong Ren¹  Saminathan Mohanapriya²  Rathinasamy Sakthivel³  Hari Hara Subramanian Divya³ 

[1] Anhui Normal University;Anna University Regional Campus;Bharathiar University;

关键词: fractional-order glucose–insulin system;    dynamic output feedback;    nonlinear reliable control;    internal model approach;   

DOI  :  10.15388/namc.2020.25.16515

来源: DOAJ

【 摘 要 】

The main intention of this paper is to scrutinize the problem of internal model-based dynamic output feedback nonfragile reliable control problem for fractional-order glucose–insulin system. Specifically, a robust control law that represents the insulin injection rate is designed in order to regulate the level of glucose in diabetes treatment in the existence of meal disturbance or external glucose infusion due to improper diet. By the construction of suitable Lyapunov functional, a novel set of sufficient conditions is derived with the aid of linear matrix inequalities for obtaining the required dynamic output feedback control law. In particular, the designed controller ensures the robust stability and disturbance attenuation performance against meal disturbance of the glucose–insulin system. Numerical simulation results are performed to verify the advantage of the developed design technique. Specifically, the irregular blood glucose level can be brought down to normal level by injecting suitable rate of insulin to the patient. The result exposes that the level of blood glucose is sustained in the identified ranges via the proposed dynamic output feedback control law.

【 授权许可】

Unknown