Fuzzy type-2 fractional Backstepping blood glucose control based on sliding mode observer

Fuzzy type-2 fractional Backstepping blood glucose control based on sliding mode observer A new combination of fractional order (FO) nonlinear control and sliding mode observer (SMO) for blood glucose regulation in type 1 diabetes mellitus is proposed in this paper. An observer estimates the difficult-to-measure process variables that are significant to control law design and to prevent failures. A SMO is proposed to estimate non-measurable states variables of Bergman minimal model by data acquired from a continuous glucose monitoring sensor. At first based on Backstepping method with FO sliding surface a control signal is proposed, and then interval type 2 fuzzy logic is utilized to reduce the chattering phenomenon in control signal. The FO sliding mode control provides robust performance and the Backstepping algorithm protects the controller in front of mismatched and matched uncertainties. Simulation results of the proposed controller are compared with its integer counterpart. Keywords Fractional order calculus · Backstepping algorithm · Sliding mode observer · Interval type-2 fuzzy logic · Type 1 diabetes mellitus 1 Introduction damage to the retina, cardiovascular damage, or damage to feet and legs. According to a report of International Dia- Diabetes mellitus is caused by a variation in the metabolism betes Federation, there will be about 642 million diabetes of glucose. The diabetic http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Dynamics and Control Springer Journals

Fuzzy type-2 fractional Backstepping blood glucose control based on sliding mode observer

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Engineering; Vibration, Dynamical Systems, Control; Control; Complexity
ISSN
2195-268X
eISSN
2195-2698
D.O.I.
10.1007/s40435-018-0445-8
Publisher site
See Article on Publisher Site

Abstract

A new combination of fractional order (FO) nonlinear control and sliding mode observer (SMO) for blood glucose regulation in type 1 diabetes mellitus is proposed in this paper. An observer estimates the difficult-to-measure process variables that are significant to control law design and to prevent failures. A SMO is proposed to estimate non-measurable states variables of Bergman minimal model by data acquired from a continuous glucose monitoring sensor. At first based on Backstepping method with FO sliding surface a control signal is proposed, and then interval type 2 fuzzy logic is utilized to reduce the chattering phenomenon in control signal. The FO sliding mode control provides robust performance and the Backstepping algorithm protects the controller in front of mismatched and matched uncertainties. Simulation results of the proposed controller are compared with its integer counterpart. Keywords Fractional order calculus · Backstepping algorithm · Sliding mode observer · Interval type-2 fuzzy logic · Type 1 diabetes mellitus 1 Introduction damage to the retina, cardiovascular damage, or damage to feet and legs. According to a report of International Dia- Diabetes mellitus is caused by a variation in the metabolism betes Federation, there will be about 642 million diabetes of glucose. The diabetic

Journal

International Journal of Dynamics and ControlSpringer Journals

Published: Jun 5, 2018

References

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