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

被引：4
|
作者：
Faedo, Nicolas [1 ]
Garcia-Violini, Demian [2 ]
Ringwood, John, V [1 ]
机构：
[1] Maynooth Univ, Dept Elect Engn, Maynooth, Kildare, Ireland
[2] Univ Nacl Quilmes, Dept Ciencia & Tecnol, Bernal, Argentina
来源：
CHAOS SOLITONS & FRACTALS | 2021年 / 144卷
基金：
爱尔兰科学基金会;
关键词：
Complex networks; Oscillators; Feedback linearisation; Robust control; Synchronization; Consensus; NEURONS;
D O I：
10.1016/j.chaos.2021.110722
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页数：6
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