Dynamic output nonfragile reliable control for nonlinear fractional-order glucose–insulin system
Articles
Rathinasamy Sakthivel
Bharathiar University
https://orcid.org/0000-0002-5528-2709
Hari Hara Subramanian Divya
Bharathiar University
Saminathan Mohanapriya
Anna University Regional Campus
Yong Ren
Anhui Normal University
https://orcid.org/0000-0002-8353-6788
Published 2020-03-02
https://doi.org/10.15388/namc.2020.25.16515
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Keywords

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

How to Cite

Sakthivel, R. (2020) “Dynamic output nonfragile reliable control for nonlinear fractional-order glucose–insulin system”, Nonlinear Analysis: Modelling and Control, 25(2), pp. 245–256. doi:10.15388/namc.2020.25.16515.

Abstract

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. 

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