Eigenvalue sensitivity assignment by the receptance method

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. 9th Biennial Conference on Engineering Systems Design and Analysis New York, US, American Society of Mechanical Engineers, 695-700. (doi:10.1115/ESDA2008-59357).


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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

Item Type: Book Section
Digital Object Identifier (DOI): doi:10.1115/ESDA2008-59357
ISBNs: 9780791848364
Subjects: T Technology > TJ Mechanical engineering and machinery
Divisions : Faculty of Engineering and the Environment > Institute of Sound and Vibration Research > Signal Processing & Control Research Group
ePrint ID: 344502
Accepted Date and Publication Date:
July 2008Published
Date Deposited: 24 Oct 2012 08:39
Last Modified: 31 Mar 2016 14:36
URI: http://eprints.soton.ac.uk/id/eprint/344502

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