Eigenvalue sensitivity minimisation for robust pole placement by the receptance method
Eigenvalue sensitivity minimisation for robust pole placement by the receptance method
The problem of robust pole placement in active structural vibration control by the method of receptance is considered in this paper. Expressions are derived for the eigenvalue sensitivities to parametric perturbations, which are subsequently minimised to improve performance robustness of the control of a dynamical system. The described approach has application to a vibrating system where variations are present due to manufacturing and material tolerances, damages and environment variabilities. The closed-loop eigenvalue sensitivities are expressed as a linear function of the velocity and displacement feedback gains, allowing their minimisation with carefully calculated feedback gains. The proposed algorithm involves curve fitting perturbed frequency response functions, FRFs, using the rational fraction polynomial method and implementation of a polynomial fit to the individual estimated rational fraction coefficients. This allows the eigenvalue sensitivity to be obtained entirely from structural FRFs, which is consistent with the receptance method. This avoids the need to evaluate the M,C,K matrices which are typically obtained through finite element modelling, that produces modelling uncertainty. It is also demonstrated that the sensitivity minimisation technique can work in conjunction with the pole placement and partial pole placement technique using the receptance method. To illustrate the working of the proposed algorithm, the controller is first implemented numerically and then experimentally.
Active vibration control, Eigenvalue sensitivity, Receptance method, Robust pole placement
Teoh, Jackie, Quan
d8bf20ae-8953-44a1-8966-f4050ada8605
Ghandchi Tehrani, Maryam
d906ebb0-54c9-489f-a6fb-8508786fbefe
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567
1 July 2022
Teoh, Jackie, Quan
d8bf20ae-8953-44a1-8966-f4050ada8605
Ghandchi Tehrani, Maryam
d906ebb0-54c9-489f-a6fb-8508786fbefe
Ferguson, Neil
8cb67e30-48e2-491c-9390-d444fa786ac8
Elliott, Stephen
721dc55c-8c3e-4895-b9c4-82f62abd3567
Teoh, Jackie, Quan, Ghandchi Tehrani, Maryam, Ferguson, Neil and Elliott, Stephen
(2022)
Eigenvalue sensitivity minimisation for robust pole placement by the receptance method.
Mechanical Systems and Signal Processing, 173, [108974].
(doi:10.1016/j.ymssp.2022.108974).
Abstract
The problem of robust pole placement in active structural vibration control by the method of receptance is considered in this paper. Expressions are derived for the eigenvalue sensitivities to parametric perturbations, which are subsequently minimised to improve performance robustness of the control of a dynamical system. The described approach has application to a vibrating system where variations are present due to manufacturing and material tolerances, damages and environment variabilities. The closed-loop eigenvalue sensitivities are expressed as a linear function of the velocity and displacement feedback gains, allowing their minimisation with carefully calculated feedback gains. The proposed algorithm involves curve fitting perturbed frequency response functions, FRFs, using the rational fraction polynomial method and implementation of a polynomial fit to the individual estimated rational fraction coefficients. This allows the eigenvalue sensitivity to be obtained entirely from structural FRFs, which is consistent with the receptance method. This avoids the need to evaluate the M,C,K matrices which are typically obtained through finite element modelling, that produces modelling uncertainty. It is also demonstrated that the sensitivity minimisation technique can work in conjunction with the pole placement and partial pole placement technique using the receptance method. To illustrate the working of the proposed algorithm, the controller is first implemented numerically and then experimentally.
Text
Eigenvalue sensitivity minimisation for robust pole placement by the
- Accepted Manuscript
More information
Accepted/In Press date: 21 February 2022
e-pub ahead of print date: 31 March 2022
Published date: 1 July 2022
Additional Information:
Funding Information:
The authors wish to acknowledge the financial support provided by Ultra Electronics and the EPSRC DigiTwins grant EP/R006768/1 .
Publisher Copyright:
© 2022 Elsevier Ltd
Keywords:
Active vibration control, Eigenvalue sensitivity, Receptance method, Robust pole placement
Identifiers
Local EPrints ID: 456796
URI: http://eprints.soton.ac.uk/id/eprint/456796
ISSN: 0888-3270
PURE UUID: a8a435d4-8267-4045-abc5-708c2a4e9753
Catalogue record
Date deposited: 11 May 2022 16:48
Last modified: 17 Mar 2024 07:15
Export record
Altmetrics
Contributors
Author:
Jackie, Quan Teoh
Author:
Maryam Ghandchi Tehrani
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
