Active vibration control of structures subject to parameter uncertainties and actuator delay

Du, H; Zhang, N

Active vibration control of structures subject to parameter uncertainties and actuator delay

Du, H

Zhang, N

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Publication Type:: Journal Article
Citation:: JVC/Journal of Vibration and Control, 2008, 14 (5), pp. 689 - 709
Issue Date:: 2008-05-01

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Field	Value	Language
dc.contributor.author	Du, H https://orcid.org/0000-0002-3439-3821	en_US
dc.contributor.author	Zhang, N https://orcid.org/0000-0001-6408-0044	en_US
dc.date.issued	2008-05-01	en_US
dc.identifier.citation	JVC/Journal of Vibration and Control, 2008, 14 (5), pp. 689 - 709	en_US
dc.identifier.issn	1077-5463	en_US
dc.identifier.uri	http://hdl.handle.net/10453/12800
dc.description.abstract	This article presents a robust H∞ controller design approach for active vibration attenuation of structures considering parameter uncertainties and time delay in control input. The parameter uncertainties dealt with belong to the polytopic type, and are assumed to be variations of the structural stiffnesses and damping coefficients. The time delay is an uncertain time-invariant with known constant bound. In terms of the feasibility of certain delay-dependent matrix inequalities, both state feedback and static output feedback controllers can be designed. To overcome the bilinear matrix inequality problems involved in the delay-dependent conditions, a genetic algorithm is used to find feasible solutions, after which use is made of the solvability of linear matrix inequalities. The performance of the presented approach is demonstrated by numerical simulations on the vibration control of a building structure subjected to seismic excitation. It is confirmed that the controllers designed by this method can effectively attenuate the structural vibration and ensure system stability even when there are parameter uncertainties and actuator delay. © 2008 SAGE Publications.	en_US
dc.relation.ispartof	JVC/Journal of Vibration and Control	en_US
dc.relation.isbasedon	10.1177/1077546307083173	en_US
dc.subject.classification	Acoustics	en_US
dc.title	Active vibration control of structures subject to parameter uncertainties and actuator delay	en_US
dc.type	Journal Article
utslib.citation.volume	5	en_US
utslib.citation.volume	14	en_US
utslib.for	0913 Mechanical Engineering	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
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
utslib.copyright.status	closed_access
pubs.issue	5	en_US
pubs.publication-status	Published	en_US
pubs.volume	14	en_US

Abstract:

This article presents a robust H∞ controller design approach for active vibration attenuation of structures considering parameter uncertainties and time delay in control input. The parameter uncertainties dealt with belong to the polytopic type, and are assumed to be variations of the structural stiffnesses and damping coefficients. The time delay is an uncertain time-invariant with known constant bound. In terms of the feasibility of certain delay-dependent matrix inequalities, both state feedback and static output feedback controllers can be designed. To overcome the bilinear matrix inequality problems involved in the delay-dependent conditions, a genetic algorithm is used to find feasible solutions, after which use is made of the solvability of linear matrix inequalities. The performance of the presented approach is demonstrated by numerical simulations on the vibration control of a building structure subjected to seismic excitation. It is confirmed that the controllers designed by this method can effectively attenuate the structural vibration and ensure system stability even when there are parameter uncertainties and actuator delay. © 2008 SAGE Publications.

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http://hdl.handle.net/10453/12800