Sliding-mode-based chaos suppression of coronary artery systems

Since coronary artery disease is the leading global cause of mortality and morbidity, this paper investigates the chaos suppression of coronary artery systems. The motivation of the paper is to discuss and analyze coronary artery disease in the field of dynamics. Firstly, the mathematic model of cor...

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Main Authors: Hui Ding, Dianwei Qian, SukGyu Lee, Linlin Zhu
Format: Article
Language:English
Published: SAGE Publishing 2023-11-01
Series:Measurement + Control
Online Access:https://doi.org/10.1177/00202940231180842
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author Hui Ding
Dianwei Qian
SukGyu Lee
Linlin Zhu
author_facet Hui Ding
Dianwei Qian
SukGyu Lee
Linlin Zhu
author_sort Hui Ding
collection DOAJ
description Since coronary artery disease is the leading global cause of mortality and morbidity, this paper investigates the chaos suppression of coronary artery systems. The motivation of the paper is to discuss and analyze coronary artery disease in the field of dynamics. Firstly, the mathematic model of coronary artery systems is formulated and the properties of this model are illustrated by bifurcation diagram, information entropy analysis, phase plane trajectory, and Poincaré section. With regard to the uncertainties of coronary artery systems, the disturbance observer technique is adopted. Meanwhile, the smooth second-order sliding mode controller is designed to suppress the chaos phenomenon. In light of the combination of the controller and observer, the stability of such a closed-loop system is proven in the sense of Lyapunov. Finally, some numerical simulations demonstrate the feasibility and validity of such design.
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spelling doaj.art-85ce0793138b4e9382b3008c9d697f9a2023-11-10T19:34:41ZengSAGE PublishingMeasurement + Control0020-29402023-11-015610.1177/00202940231180842Sliding-mode-based chaos suppression of coronary artery systemsHui Ding0Dianwei Qian1SukGyu Lee2Linlin Zhu3Department of Anesthesia, Shaanxi Provincial People’s Hospital, Xi’an, ChinaSchool of Control and Computer Engineering, North China Electric Power University, Beijing, ChinaDepartment of Electrical Engineering, Yeungnam University, Gyeongsan, Republic of KoreaDepartment of Endodontics, Liaoning Provincial Key Laboratory of Oral Diseases, School and Hospital of Stomatology, China Medical University, Shenyang, P.R. ChinaSince coronary artery disease is the leading global cause of mortality and morbidity, this paper investigates the chaos suppression of coronary artery systems. The motivation of the paper is to discuss and analyze coronary artery disease in the field of dynamics. Firstly, the mathematic model of coronary artery systems is formulated and the properties of this model are illustrated by bifurcation diagram, information entropy analysis, phase plane trajectory, and Poincaré section. With regard to the uncertainties of coronary artery systems, the disturbance observer technique is adopted. Meanwhile, the smooth second-order sliding mode controller is designed to suppress the chaos phenomenon. In light of the combination of the controller and observer, the stability of such a closed-loop system is proven in the sense of Lyapunov. Finally, some numerical simulations demonstrate the feasibility and validity of such design.https://doi.org/10.1177/00202940231180842
spellingShingle Hui Ding
Dianwei Qian
SukGyu Lee
Linlin Zhu
Sliding-mode-based chaos suppression of coronary artery systems
Measurement + Control
title Sliding-mode-based chaos suppression of coronary artery systems
title_full Sliding-mode-based chaos suppression of coronary artery systems
title_fullStr Sliding-mode-based chaos suppression of coronary artery systems
title_full_unstemmed Sliding-mode-based chaos suppression of coronary artery systems
title_short Sliding-mode-based chaos suppression of coronary artery systems
title_sort sliding mode based chaos suppression of coronary artery systems
url https://doi.org/10.1177/00202940231180842
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AT dianweiqian slidingmodebasedchaossuppressionofcoronaryarterysystems
AT sukgyulee slidingmodebasedchaossuppressionofcoronaryarterysystems
AT linlinzhu slidingmodebasedchaossuppressionofcoronaryarterysystems