High-order sliding-mode control for blood glucose: Practical relative degree approach

Ana Gabriela Gallardo Hernández; Leonid Fridman; Arie Levant; Yuri Shtessel; Ron Leder; Cristina Revilla Monsalve; Sergio Islas Andrade

doi:10.1016/j.conengprac.2012.11.015

High-order sliding-mode control for blood glucose: Practical relative degree approach

Ana Gabriela Gallardo Hernández, Leonid Fridman, Arie Levant, Yuri Shtessel, Ron Leder, Cristina Revilla Monsalve, Sergio Islas Andrade

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

High order sliding mode controller (HOSMC) is proposed for blood glucose regulation. With this aim a novel concept of Practical Relative Degree (PRD) and a method of its identification are suggested. First, for PRD identification method is applied for the most simple (Bergman Minimal Model) and the most complicated (Sorensen Model) models concluding that the common PRD for both models is three. Then, a third order quasi-continuous control law was designed. The proposed control law has been tested on simulations for a third model (Hovorka Model), and both above mentioned models. Finally, the experiments are performed with rats just to show that control design based on PRD three is efficient.

Original language	English
Pages (from-to)	747-758
Number of pages	12
Journal	Control Engineering Practice
Volume	21
Issue number	5
DOIs	https://doi.org/10.1016/j.conengprac.2012.11.015
State	Published - May 2013

Keywords

Biomedical control
Nonlinear control
Sliding mode control
Uncertain systems

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering
Applied Mathematics

Access to Document

10.1016/j.conengprac.2012.11.015

Cite this

@article{386b0171a1e7458bbadf6357036748a6,

title = "High-order sliding-mode control for blood glucose: Practical relative degree approach",

abstract = "High order sliding mode controller (HOSMC) is proposed for blood glucose regulation. With this aim a novel concept of Practical Relative Degree (PRD) and a method of its identification are suggested. First, for PRD identification method is applied for the most simple (Bergman Minimal Model) and the most complicated (Sorensen Model) models concluding that the common PRD for both models is three. Then, a third order quasi-continuous control law was designed. The proposed control law has been tested on simulations for a third model (Hovorka Model), and both above mentioned models. Finally, the experiments are performed with rats just to show that control design based on PRD three is efficient.",

keywords = "Biomedical control, Nonlinear control, Sliding mode control, Uncertain systems",

author = "{Gallardo Hern{\'a}ndez}, {Ana Gabriela} and Leonid Fridman and Arie Levant and Yuri Shtessel and Ron Leder and {Revilla Monsalve}, Cristina and {Islas Andrade}, Sergio",

note = "Funding Information: This research is financially supported by the Mexican CONACyT (Consejo Nacional de Ciencia y Tecnolog{\'i}a) , Grant no. 128251 and 132125 and the Programa de Apoyo a Proyectos de Investigaci{\'o}n e Innovaci{\'o}n Tecnol{\'o}gica (PAPIIT) UNAM , Grant no. IN117211 .",

year = "2013",

month = may,

doi = "10.1016/j.conengprac.2012.11.015",

language = "الإنجليزيّة",

volume = "21",

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journal = "Control Engineering Practice",

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T1 - High-order sliding-mode control for blood glucose

T2 - Practical relative degree approach

AU - Gallardo Hernández, Ana Gabriela

AU - Fridman, Leonid

AU - Levant, Arie

AU - Shtessel, Yuri

AU - Leder, Ron

AU - Revilla Monsalve, Cristina

AU - Islas Andrade, Sergio

N1 - Funding Information: This research is financially supported by the Mexican CONACyT (Consejo Nacional de Ciencia y Tecnología) , Grant no. 128251 and 132125 and the Programa de Apoyo a Proyectos de Investigación e Innovación Tecnológica (PAPIIT) UNAM , Grant no. IN117211 .

PY - 2013/5

Y1 - 2013/5

N2 - High order sliding mode controller (HOSMC) is proposed for blood glucose regulation. With this aim a novel concept of Practical Relative Degree (PRD) and a method of its identification are suggested. First, for PRD identification method is applied for the most simple (Bergman Minimal Model) and the most complicated (Sorensen Model) models concluding that the common PRD for both models is three. Then, a third order quasi-continuous control law was designed. The proposed control law has been tested on simulations for a third model (Hovorka Model), and both above mentioned models. Finally, the experiments are performed with rats just to show that control design based on PRD three is efficient.

AB - High order sliding mode controller (HOSMC) is proposed for blood glucose regulation. With this aim a novel concept of Practical Relative Degree (PRD) and a method of its identification are suggested. First, for PRD identification method is applied for the most simple (Bergman Minimal Model) and the most complicated (Sorensen Model) models concluding that the common PRD for both models is three. Then, a third order quasi-continuous control law was designed. The proposed control law has been tested on simulations for a third model (Hovorka Model), and both above mentioned models. Finally, the experiments are performed with rats just to show that control design based on PRD three is efficient.

KW - Biomedical control

KW - Nonlinear control

KW - Sliding mode control

KW - Uncertain systems

UR - http://www.scopus.com/inward/record.url?scp=84875074363&partnerID=8YFLogxK

U2 - 10.1016/j.conengprac.2012.11.015

DO - 10.1016/j.conengprac.2012.11.015

M3 - مقالة

SN - 0967-0661

VL - 21

SP - 747

EP - 758

JO - Control Engineering Practice

JF - Control Engineering Practice

IS - 5

ER -

High-order sliding-mode control for blood glucose: Practical relative degree approach

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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