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Theory and Applications of Non-integer Order Systems pp 187–202Cite as

Fractional Order Back Stepping Sliding Mode Control for Blood Glucose Regulation in Type I Diabetes Patients

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 407))

Abstract

In this paper a fractional order backstepping sliding mode controller is proposed for Blood Glucose regulation using Bergman minimal model. A feedback control law is designed based on backstepping algorithm and a fractional order sliding surface is introduced. The backstepping algorithm makes the controller immune to matched and mismatched uncertainties and the fractional order sliding mode control provides robustness. Simulation results show that the proposed fractional order backstepping sliding mode controller are able to reject both matched and mismatched uncertainties and disturbance with a chattering free control law and the simulation results of the proposed controller are compared with the Backstepping sliding mode controller.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering, Hamedan University of Technology, Hamedan, 65155, Iran

    Hamid Heydarinejad & Hadi Delavari

Authors
  1. Hamid Heydarinejad
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  2. Hadi Delavari
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Corresponding author

Correspondence to Hamid Heydarinejad .

Editor information

Editors and Affiliations

  1. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Artur Babiarz

  2. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Adam Czornik

  3. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Jerzy Klamka

  4. Institute of Automatic Control, Silesian University of Technology Institute of Automatic Control, Gliwice, Poland

    Michał Niezabitowski

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Heydarinejad, H., Delavari, H. (2017). Fractional Order Back Stepping Sliding Mode Control for Blood Glucose Regulation in Type I Diabetes Patients. In: Babiarz, A., Czornik, A., Klamka, J., Niezabitowski, M. (eds) Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 407. Springer, Cham. https://doi.org/10.1007/978-3-319-45474-0_18

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  • DOI: https://doi.org/10.1007/978-3-319-45474-0_18

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45473-3

  • Online ISBN: 978-3-319-45474-0

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