Multistability in the Centrifugal Governor System under a Time-Delay Control Strategy

Deng, S; Ji, J; Yin, S; Wen, G

Multistability in the Centrifugal Governor System under a Time-Delay Control Strategy

Deng, S Ji, J

Yin, S Wen, G

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Publisher:: ASME
Publication Type:: Journal Article
Citation:: Journal of Computational and Nonlinear Dynamics, 2019, 14, (11)
Issue Date:: 2019-11-01

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Field	Value	Language
dc.contributor.author	Deng, S
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Yin, S
dc.contributor.author	Wen, G
dc.date.accessioned	2020-04-30T08:58:56Z
dc.date.available	2020-04-30T08:58:56Z
dc.date.issued	2019-11-01
dc.identifier.citation	Journal of Computational and Nonlinear Dynamics, 2019, 14, (11)
dc.identifier.issn	1555-1415
dc.identifier.issn	1555-1423
dc.identifier.uri	http://hdl.handle.net/10453/140366
dc.description.abstract	© 2019 by ASME. The centrifugal governor system plays an indispensable role in maintaining the near-constant speed of engines. Although different arrangements have been developed, the governor systems are still applied in many machines for its simple mechanical structure. Therefore, the large-amplitude vibrations of the governor system which can lead to the function failure of the system should be attenuated to guarantee reliable operation. This paper adopts a time-delay control strategy to suppress the undesirable large-amplitude motions in the centrifugal governor system, which can be regarded as the practical application of the delayed feedback controller in this system. The stability region of the trivial equilibrium of the controlled system is determined by investigating the characteristic equation and generic Hopf bifurcations. It is found that the dynamic behavior of multistability can be induced by the Bautin bifurcation, arising on the stability boundary of the trivial equilibrium with a constant delay. More specifically, a coexistence of two desirable stable motions, i.e., an equilibrium or a small-amplitude periodic motion, can be observed in the controlled centrifugal governor system without changing the physical parameters. This is a new feature of the motion control in the centrifugal governor systems, which has not yet been reported in the existing studies. Finally, the results of theoretical analyses are verified by numerical simulations.
dc.language	English
dc.publisher	ASME
dc.relation.ispartof	Journal of Computational and Nonlinear Dynamics
dc.relation.isbasedon	10.1115/1.4044501
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0103 Numerical and Computational Mathematics, 0913 Mechanical Engineering
dc.subject.classification	Acoustics
dc.title	Multistability in the Centrifugal Governor System under a Time-Delay Control Strategy
dc.type	Journal Article
utslib.citation.volume	14
utslib.for	0103 Numerical and Computational Mathematics
utslib.for	0913 Mechanical Engineering
utslib.for	0103 Numerical and Computational Mathematics
utslib.for	0913 Mechanical Engineering
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2020-04-30T08:58:42Z
pubs.issue	11
pubs.publication-status	Published
pubs.volume	14
utslib.citation.issue	11

Abstract:

© 2019 by ASME. The centrifugal governor system plays an indispensable role in maintaining the near-constant speed of engines. Although different arrangements have been developed, the governor systems are still applied in many machines for its simple mechanical structure. Therefore, the large-amplitude vibrations of the governor system which can lead to the function failure of the system should be attenuated to guarantee reliable operation. This paper adopts a time-delay control strategy to suppress the undesirable large-amplitude motions in the centrifugal governor system, which can be regarded as the practical application of the delayed feedback controller in this system. The stability region of the trivial equilibrium of the controlled system is determined by investigating the characteristic equation and generic Hopf bifurcations. It is found that the dynamic behavior of multistability can be induced by the Bautin bifurcation, arising on the stability boundary of the trivial equilibrium with a constant delay. More specifically, a coexistence of two desirable stable motions, i.e., an equilibrium or a small-amplitude periodic motion, can be observed in the controlled centrifugal governor system without changing the physical parameters. This is a new feature of the motion control in the centrifugal governor systems, which has not yet been reported in the existing studies. Finally, the results of theoretical analyses are verified by numerical simulations.

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http://hdl.handle.net/10453/140366