Output Global Oscillatory Synchronization of Heterogeneous Systems

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

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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 languageEnglish
Pages (from-to)(In-press)
JournalInternational Journal of Control
Volume(In-press)
Early online date7 Nov 2019
DOIs
Publication statusE-pub ahead of print - 7 Nov 2019

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.

Keywords

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

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