4.7 Article

Controlling synchronization in a complex network of nonlinear oscillators via feedback linearisation and H∞-control

期刊

CHAOS SOLITONS & FRACTALS
卷 144, 期 -, 页码 -

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2021.110722

关键词

Complex networks; Oscillators; Feedback linearisation; Robust control; Synchronization; Consensus

资金

  1. Science Foundation Ireland [13/IA/1886]

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This communication proposes a strategy to induce complete synchronization in a complex network of nonlinear dynamical oscillators, using a multiple-input multiple-output feedback decoupling linearisation algorithm with H-infinity control to achieve stable synchronization even in the presence of model uncertainty. A case study with FitzHugh-Nagumo oscillators is used to illustrate the strategy.
This short communication proposes a strategy to induce complete synchronization in a complex network composed of a general class of nonlinear dynamical oscillators. To that end, we formulate complete synchronization as a robust stabilisation problem, and propose a multiple-input multiple-output feedback decoupling linearisation algorithm in combination with H-infinity-control, designed to achieve a stable synchronization even in the presence of model uncertainty. We illustrate the strategy via a case study, where a complex network composed of FitzHugh-Nagumo oscillators is considered. (C) 2021 Elsevier Ltd. All rights reserved.

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