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International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board: Armbruster, Dieter / Chen, Xi / Bessaih, Hakima / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi


IMPACT FACTOR 2017: 1.162

CiteScore 2017: 1.41

SCImago Journal Rank (SJR) 2017: 0.382
Source Normalized Impact per Paper (SNIP) 2017: 0.636

Mathematical Citation Quotient (MCQ) 2017: 0.12

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2191-0294
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Volume 19, Issue 7-8

Issues

Synchronization of Multiple Mechanical Oscillators Under Noisy Measurements Signals and Mismatch Parameters

Ricardo Aguilar-López / Juan L. Mata-Machuca
  • Corresponding author
  • Unidad Profesional Interdisciplinaria en Ingeniería y Tecnologías Avanzadas, Instituto Politécnico Nacional, 2580 IPN, DF, 07340 Mexico, Mexico
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/ Rafael Martínez-Guerra / Claudia A. Pérez-Pinacho
Published Online: 2018-08-23 | DOI: https://doi.org/10.1515/ijnsns-2017-0096

Abstract

In this article, we present a control scheme to synchronize multiple mechanical oscillators under the master–slave configuration. The proposed scheme is applied in the synchronization of several mechanical oscillators with high nonlinear spring, where four mechanical oscillators are controlled in order to be in state of synchronization with the master mechanical oscillator against additive noise in the measurement signals and mismatch parameters. The proposed control consists of an external feedback controller with a class of hyperbolic tangent function, which gives us the possibility to overcome problems as noise in the measured output and parameter’s mismatch which is important due to the kind of control. The effectiveness of this control scheme is showed via numerical simulations with and without sustained disturbances.

Keywords: multiple coupled mechanical oscillator; master–slave configuration; parameter’s mismatch; synchronization

PACS: ®(2010); 05.45.Xt; 05.45.Gg

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About the article

Received: 2017-04-26

Accepted: 2018-08-10

Published Online: 2018-08-23

Published in Print: 2018-12-19


This paper was partially supported by the Secretaría de Investigación y Posgrado of the Instituto Politécnico Nacional (SIP-IPN) under the research grant 20181591.


Conflicts of interests: The authors have declared no conflict of interest.


Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, Volume 19, Issue 7-8, Pages 699–707, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339, DOI: https://doi.org/10.1515/ijnsns-2017-0096.

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