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Robust saturated control of human-induced floor vibrations via a proof-mass actuator

Diaz, I.M. and Reynolds, P. (2009) Robust saturated control of human-induced floor vibrations via a proof-mass actuator. Smart Materials and Structures , 18 (12). Art no.125024 . ISSN 0964-1726

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This paper is concerned with the design of a robust active vibration control system that makes use of a proof-mass actuator for the mitigation of human-induced vibrations in floor structures. Ideally, velocity feedback control (VFC) is unconditionally stable and robust to spillover effects, interlacing of poles and zeros of collocated control is then accomplished. However, the use of a proof-mass actuator influences the system dynamics and the alternating pole-zero pattern of the system formed by the actuator and structure is no longer fulfilled. However, a controlled migration of the two zeros of the root locus plot at the origin, resulting from the acceleration output, can be achieved by adding a feed-through term (FTT) to the structure acceleration output. That is, the FTT enables us to control the position of a pair of complex conjugate zeros (an anti-resonance in the frequency domain). This paper proposes the introduction of an FTT designed in such a way that the anti-resonance at the origin is located between the actuator resonance and the structure fundamental resonance. Hence, an integral controller leads to infinite gain margin and significant phase margin. Simulation and experimental results on a concrete slab strip have validated the proposed control strategy. Significant improvements in the stability properties compared with VFC are reported.

Item Type: Article
Copyright, Publisher and Additional Information: © 2009 Institute of Physics. This is an author produced version of a paper subsequently published in Smart Materials and Structures. Uploaded in accordance with the publisher's self-archiving policy.
Keywords: Serviceability; Dampers
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield)
Depositing User: Miss Anthea Tucker
Date Deposited: 09 Dec 2009 09:51
Last Modified: 08 Feb 2013 16:59
Published Version: http://dx.doi.org/10.1088/0964-1726/18/12/125024
Status: Published
Publisher: Institute of Physics
Refereed: Yes
Identification Number: 10.1088/0964-1726/18/12/125024
URI: http://eprints.whiterose.ac.uk/id/eprint/10239

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