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.
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ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis
July 7–9, 2008
Haifa, Israel
Conference Sponsors:
- International
ISBN:
978-0-7918-4836-4
PROCEEDINGS PAPER
Eigenvalue Sensitivity Assignment by the Receptance Method Available to Purchase
Maryam Ghandchi Tehrani,
Maryam Ghandchi Tehrani
University of Liverpool, Liverpool, UK
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John E. Mottershead,
John E. Mottershead
University of Liverpool, Liverpool, UK
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Yitshak M. Ram
Yitshak M. Ram
Louisiana State University, Baton Rouge, LA
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Maryam Ghandchi Tehrani
University of Liverpool, Liverpool, UK
John E. Mottershead
University of Liverpool, Liverpool, UK
Yitshak M. Ram
Louisiana State University, Baton Rouge, LA
Paper No:
ESDA2008-59357, pp. 695-700; 6 pages
Published Online:
July 6, 2009
Citation
Tehrani, MG, Mottershead, JE, & Ram, YM. "Eigenvalue Sensitivity Assignment by the Receptance Method." Proceedings of the ASME 2008 9th Biennial Conference on Engineering Systems Design and Analysis. Volume 2: Automotive Systems; Bioengineering and Biomedical Technology; Computational Mechanics; Controls; Dynamical Systems. Haifa, Israel. July 7–9, 2008. pp. 695-700. ASME. https://doi.org/10.1115/ESDA2008-59357
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