Robust stability control for nonlinear time varying delay fractional order practical systems and application in Glucose-Insulin system

Abstract

Diabetes Mellitus is a long-term and prevalent disease that 10% of the world population suffer ‎from. This study uses a state feedback controller to control blood glucose level in the delayed ‎fractional order model of this disease. Thus, first, a proper state feedback controller for ‎stabilizing the fractional order model with time-variant delays is presented. Then, stability and ‎stabilization of the fractional order models in the fractional order insulin-glucose model with ‎time-variant delays is presented. The results show that the insulin-glucose system with the ‎proposed controller is stabilized and the blood glucose concentration is controlled in a proper ‎time. Further studies might provide the opportunity for novel technologies in controlling and ‎treating diabetic patients.

Keywords:

• Diabetes Mellitus
• insulin-glucose system
• fractional order nonlinear systems
• time-variant delay

Data availability

Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

Disclosure statement

This article has not any conflict of interests and involved animals.

Funding

The author(s) reported there is no funding associated with the work featured in this article.