Mixed H<inf>2</inf>/H<inf>∞</inf> control of tall buildings with reduced-order modelling technique

Du, H; Zhang, N; Nguyen, H

Mixed H<inf>2</inf>/H<inf>∞</inf> control of tall buildings with reduced-order modelling technique

Du, H

Zhang, N

Nguyen, H

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Publication Type:: Journal Article
Citation:: Structural Control and Health Monitoring, 2008, 15 (1), pp. 64 - 89
Issue Date:: 2008-02-01

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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.contributor.author	Nguyen, H https://orcid.org/0000-0003-3373-8178	en_US
dc.date.issued	2008-02-01	en_US
dc.identifier.citation	Structural Control and Health Monitoring, 2008, 15 (1), pp. 64 - 89	en_US
dc.identifier.issn	1545-2255	en_US
dc.identifier.uri	http://hdl.handle.net/10453/9395
dc.description.abstract	In this paper, a reduced-order technique based on the dynamic condensation method is applied to obtain a reduced-order model of an experimental tall building which has 20 floors and is 2.5 m high. The experimental model is designed to imitate a practical tall building with an active mass driver, and is used to study the available modelling and active control strategies for real tall buildings. Using the acquired reduced-order model, a new approach which combines the pole placement method with the considerations on robust stability and constraint of control signal is presented to design a reduced (low)-order controller. This new design method is formulated as a mixed H2/H ∞ optimization problem, which can be easily resolved by linear matrix inequalities. Because pole placement method can realize ideal damping characteristics for the vibrational modes, robust stability can avoid the spillover instability problem which is induced by neglecting the high-order modes, and constraint on control signal can provide more reasonable controller realization, the designed reduced-order controller can fulfil the performance and stability requirements for the vibration control of structures. Numerical simulations validate that the reduced-order model can represent the full-order model exactly in the targeted frequency range, and the designed reduced-order controller can effectively attenuate the excessive vibration to the full-order model excited by seismic disturbance. Copyright © 2007 John Wiley & Sons, Ltd.	en_US
dc.relation.ispartof	Structural Control and Health Monitoring	en_US
dc.relation.isbasedon	10.1002/stc.207	en_US
dc.subject.classification	Civil Engineering	en_US
dc.title	Mixed H<inf>2</inf>/H<inf>∞</inf> control of tall buildings with reduced-order modelling technique	en_US
dc.type	Journal Article
utslib.citation.volume	1	en_US
utslib.citation.volume	15	en_US
utslib.for	090506 Structural Engineering	en_US
utslib.for	0905 Civil Engineering	en_US
dc.location.activity	ISI:000253737000004	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
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
utslib.copyright.status	closed_access
pubs.issue	1	en_US
pubs.publication-status	Published	en_US
pubs.volume	15	en_US

Abstract:

In this paper, a reduced-order technique based on the dynamic condensation method is applied to obtain a reduced-order model of an experimental tall building which has 20 floors and is 2.5 m high. The experimental model is designed to imitate a practical tall building with an active mass driver, and is used to study the available modelling and active control strategies for real tall buildings. Using the acquired reduced-order model, a new approach which combines the pole placement method with the considerations on robust stability and constraint of control signal is presented to design a reduced (low)-order controller. This new design method is formulated as a mixed H2/H ∞ optimization problem, which can be easily resolved by linear matrix inequalities. Because pole placement method can realize ideal damping characteristics for the vibrational modes, robust stability can avoid the spillover instability problem which is induced by neglecting the high-order modes, and constraint on control signal can provide more reasonable controller realization, the designed reduced-order controller can fulfil the performance and stability requirements for the vibration control of structures. Numerical simulations validate that the reduced-order model can represent the full-order model exactly in the targeted frequency range, and the designed reduced-order controller can effectively attenuate the excessive vibration to the full-order model excited by seismic disturbance. Copyright © 2007 John Wiley & Sons, Ltd.

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http://hdl.handle.net/10453/9395