Proceedings of the 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)

Study on the Adaptive Generalized Synchronization of Hetero Structure Chaotic Systems

Authors
Chamika Dias, Shu-Yong Liu, Jiang Jian, Pan Su, Xiu-Lei Wei, Qing-Chao Yang, Yuan Fang
Corresponding Author
Chamika Dias
Available Online December 2016.
DOI
https://doi.org/10.2991/mme-16.2017.20How to use a DOI?
Keywords
Vibration system, Nonlinear dynamics, Parameter monitor, Attractor.
Abstract
A mathematical model of adaptive generalized chaotic synchronization(AGCS) was established to investigate the synchronization between a multi-degree freedom non-autonomous(nonlinear vibration) driving system and an autonomous chaotic (Lorenz) response system. Within the heterostructure synchronization model, The AGCS nonlinear adaptive controller is designed. Both the AGCS error curves and parameters identification error curves are proved to converge to zero by Lyapunov stability theory. Numerical investigations were carried out to obtain the synchronization characteristic pattern. Results show that these two systems can be synchronized by using AGCS technique, with both the synchronization error and the parameter identification error quickly converging to zero. The chaotic attractor is observed in phase plane, and the synchronization diagonal line is applied to show the existence of the synchronized behavior. The model established in this study can be used for condition monitoring and fault diagnosis of chaotic vibration systems in many engineering fields.
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This is an open access article distributed under the CC BY-NC license.

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Proceedings
3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)
Part of series
Advances in Engineering Research
Publication Date
December 2016
ISBN
978-94-6252-303-6
ISSN
2352-5401
DOI
https://doi.org/10.2991/mme-16.2017.20How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Chamika Dias
AU  - Shu-Yong Liu
AU  - Jiang Jian
AU  - Pan Su
AU  - Xiu-Lei Wei
AU  - Qing-Chao Yang
AU  - Yuan Fang
PY  - 2016/12
DA  - 2016/12
TI  - Study on the Adaptive Generalized Synchronization of Hetero Structure Chaotic Systems
BT  - 3rd Annual International Conference on Mechanics and Mechanical Engineering (MME 2016)
PB  - Atlantis Press
SN  - 2352-5401
UR  - https://doi.org/10.2991/mme-16.2017.20
DO  - https://doi.org/10.2991/mme-16.2017.20
ID  - Dias2016/12
ER  -