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

Author

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  • Gholamreza Alikhani
  • Saeed Balochian

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.

Suggested Citation

  • Gholamreza Alikhani & Saeed Balochian, 2023. "Robust stability control for nonlinear time varying delay fractional order practical systems and application in Glucose-Insulin system," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 26(15), pages 1796-1805, November.
    • Handle: RePEc:taf:gcmbxx:v:26:y:2023:i:15:p:1796-1805
    DOI: 10.1080/10255842.2022.2145888
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