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Mathematical Biosciences and Engineering

2011, Volume 8, Issue 2: 549-560. doi: 10.3934/mbe.2011.8.549
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Glucose level regulation via integral high-order sliding modes

  • 1.
    School of Math Sciences, Tel Aviv University, Tel Aviv, Ramat Aviv, 69978
  • Received: 01 March 2010 Accepted: 29 June 2018 Published: 01 April 2011

  • MSC : Primary: 93C10, 92C50; Secondary: 93D09.

  • Diabetes is a condition in which the body either does not produce enough insulin, or does not properly respond to it. This causes the glucose level in blood to increase. An algorithm based on Integral High-Order Sliding Mode technique is proposed, which keeps the normal blood glucose level automatically releasing insulin into the blood. The system is highly insensitive to inevitable parametric and model uncertainties, measurement noises and small delays.

    Citation: Lela Dorel. Glucose level regulation via integral high-order sliding modes[J]. Mathematical Biosciences and Engineering, 2011, 8(2): 549-560. doi: 10.3934/mbe.2011.8.549

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  • Diabetes is a condition in which the body either does not produce enough insulin, or does not properly respond to it. This causes the glucose level in blood to increase. An algorithm based on Integral High-Order Sliding Mode technique is proposed, which keeps the normal blood glucose level automatically releasing insulin into the blood. The system is highly insensitive to inevitable parametric and model uncertainties, measurement noises and small delays.


  • This article has been cited by:

    1. Arie Levant, 2013, Chapter 5, 978-3-642-36985-8, 97, 10.1007/978-3-642-36986-5_5
    2. V. Behnamgol, M. Asadi, Sumeet S. Aphale, Adaptive sliding mode control with fixed-time stability for robust glucose regulation, 2025, 13, 2195-268X, 10.1007/s40435-025-01646-1
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  • © 2011 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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