Output Global Oscillatory Synchronization of Heterogeneous Systems

Hafiz Ahmed; Rosane Ushirobira; Denis  Efimov; Leonid  Fridman; Yongqiang Wang

doi:10.1080/00207179.2019.1690689

Output Global Oscillatory Synchronization of Heterogeneous Systems

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov, Leonid Fridman, Yongqiang Wang

School of Mechanical, Aerospace and Automotive Engineering

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Abstract

The global output synchronization problem for heterogeneous nonlinear systems having relative degree 2 or higher is studied. The proposed approach consists in two steps. First, a partial projection of individual subsystems into the Brockett oscillators is performed using a sliding-mode control. Second, the network of these oscillators is synchronized using the global synchronization results of a particular second order nonlinear oscillator model from Ahmed et al. (2019). Our approach is based on output feedback and uses a higher order sliding mode observer to estimate the states and perturbations of the synchronized nonlinear systems. Along with numerical simulations, the performance of the proposed synchronization scheme is experimentally verified on a network of Van der Pol oscillators.

Original language	English
Pages (from-to)	1982-1993
Number of pages	12
Journal	International Journal of Control
Volume	94
Issue number	7
Early online date	7 Nov 2019
DOIs	https://doi.org/10.1080/00207179.2019.1690689
Publication status	Published - 2021

Bibliographical note

This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control, on 07/11/2019, available online: http://www.tandfonline.com/10.1080/00207179.2019.1690689

Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

Funder

This work was partially supported by Consejo Nacional de Ciencia y Tecnologia, Mexico [grant number 282013]; Government Council on Grants, Russian Federation [Grant 08-08]; Ministry of Education and Science of the Russian Federation [Project 14.Z50.31.0031]; Programa de Apoyo a Proyectos de Investigaci?n e Innovaci?n Tecnol?gica (UNAM), Mexico 115419; HoTSMoCE INRIA associate team program.

Keywords

Output synchronization
Sliding mode observation
Van der Pol oscillator
Real-time control

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10.1080/00207179.2019.1690689

Post-PrintAccepted author manuscript, 1.57 MBLicence: Unspecified

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abstract = "The global output synchronization problem for heterogeneous nonlinear systems having relative degree 2 or higher is studied. The proposed approach consists in two steps. First, a partial projection of individual subsystems into the Brockett oscillators is performed using a sliding-mode control. Second, the network of these oscillators is synchronized using the global synchronization results of a particular second order nonlinear oscillator model from Ahmed et al. (2019). Our approach is based on output feedback and uses a higher order sliding mode observer to estimate the states and perturbations of the synchronized nonlinear systems. Along with numerical simulations, the performance of the proposed synchronization scheme is experimentally verified on a network of Van der Pol oscillators.",

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N1 - This is an Accepted Manuscript of an article published by Taylor & Francis in International Journal of Control, on 07/11/2019, available online: http://www.tandfonline.com/10.1080/00207179.2019.1690689 Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.

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AB - The global output synchronization problem for heterogeneous nonlinear systems having relative degree 2 or higher is studied. The proposed approach consists in two steps. First, a partial projection of individual subsystems into the Brockett oscillators is performed using a sliding-mode control. Second, the network of these oscillators is synchronized using the global synchronization results of a particular second order nonlinear oscillator model from Ahmed et al. (2019). Our approach is based on output feedback and uses a higher order sliding mode observer to estimate the states and perturbations of the synchronized nonlinear systems. Along with numerical simulations, the performance of the proposed synchronization scheme is experimentally verified on a network of Van der Pol oscillators.

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Output Global Oscillatory Synchronization of Heterogeneous Systems

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