The University of Southampton
University of Southampton Institutional Repository

Eigenvalue sensitivity assignment by the receptance method

Record type: Conference or Workshop Item (Paper)

In this paper the problem of eigenvalue assignment in active vibration control by the receptance method using single-input state feedback is considered. The poles of the system and their sensitivities are assigned using measured vibration data from the open-loop system in the form of receptances, there being no need to evaluate or to know the system matrices M, C, K. The perturbation method is applied to a characteristic equation resulting in expressions for the derivatives of the pole eigenvalues with respect to the control gains. These sensitivities are expressed as a linear combination of the feedback control gains. The control effort necessary to assign the poles may be reduced by increasing the sensitivity of the poles. In addition, the uncontrolled poles in the system may be rendered insensitive for stability robustness. It is demonstrated that chosen eigenvalues may be rendered insensitive to all the control gain terms by choice of the distribution vector b. Numerical examples are provided to demonstrate how the technique works

Full text not available from this repository.

Citation

Ghandchi Tehrani, Maryam, Mottershead, John and Ram, Y.M (2008) Eigenvalue sensitivity assignment by the receptance method In Proceedings of ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. American Society of Mechanical Engineers., pp. 695-700. (doi:10.1115/ESDA2008-59357).

More information

Published date: July 2008
Venue - Dates: 9th Biennial Conference on Engineering Systems Design and Analysis, Israel, 2008-07-07 - 2008-07-09
Organisations: Signal Processing & Control Grp

Identifiers

Local EPrints ID: 344502
URI: http://eprints.soton.ac.uk/id/eprint/344502
ISBN: 978-0-7918-4836-4
PURE UUID: e493e678-8930-461c-a51c-6fa54d431d87

Catalogue record

Date deposited: 24 Oct 2012 08:39
Last modified: 18 Jul 2017 05:15

Export record

Altmetrics

Contributors

Author: John Mottershead
Author: Y.M Ram

University divisions


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×