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Optimisation of a velocity feedback controller to minimise kinetic energy and maximise power dissipation

Optimisation of a velocity feedback controller to minimise kinetic energy and maximise power dissipation
Optimisation of a velocity feedback controller to minimise kinetic energy and maximise power dissipation
In this study the active vibration control of a structure modelled as a single degree of freedom system and excited by a white noise force is considered. The control system consists of an inertial actuator driven with a signal proportional to the velocity of the structure under control measured by an ideal collocated sensor. The optimisation of the physical and control parameters of the control system such as the internal damping of the actuator, its natural frequency and the feedback gain of the controller are considered such that either the kinetic energy of the host structure is minimised or the power dissipated by the control system is maximised. This type of control system is only conditionally stable therefore a stability condition has to be satisfied by the optimisation process. The paper shows that the two optimisation criteria are equivalent.

0022-460X
1-10
Zilletti, Michele
a36b24f0-e4ce-4bdd-abc7-c1f1e9c154a2
Gardonio, Paolo
bae5bf72-ea81-43a6-a756-d7153d2de77a
Elliott, Stephen J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Zilletti, Michele
a36b24f0-e4ce-4bdd-abc7-c1f1e9c154a2
Gardonio, Paolo
bae5bf72-ea81-43a6-a756-d7153d2de77a
Elliott, Stephen J.
721dc55c-8c3e-4895-b9c4-82f62abd3567

Zilletti, Michele, Gardonio, Paolo and Elliott, Stephen J. (2014) Optimisation of a velocity feedback controller to minimise kinetic energy and maximise power dissipation Journal of Sound and Vibration, pp. 1-10. (doi:10.1016/j.jsv.2014.04.036).

Record type: Article

Abstract

In this study the active vibration control of a structure modelled as a single degree of freedom system and excited by a white noise force is considered. The control system consists of an inertial actuator driven with a signal proportional to the velocity of the structure under control measured by an ideal collocated sensor. The optimisation of the physical and control parameters of the control system such as the internal damping of the actuator, its natural frequency and the feedback gain of the controller are considered such that either the kinetic energy of the host structure is minimised or the power dissipated by the control system is maximised. This type of control system is only conditionally stable therefore a stability condition has to be satisfied by the optimisation process. The paper shows that the two optimisation criteria are equivalent.

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e-pub ahead of print date: 20 May 2014
Organisations: Signal Processing & Control Grp

Identifiers

Local EPrints ID: 365099
URI: http://eprints.soton.ac.uk/id/eprint/365099
ISSN: 0022-460X
PURE UUID: de05cc89-cf33-4eb0-be8f-467483164c3b

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Date deposited: 21 May 2014 10:31
Last modified: 18 Jul 2017 02:25

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Contributors

Author: Michele Zilletti
Author: Paolo Gardonio

University divisions

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