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Minimum norm partial quadratic eigenvalue assignment for vibrating structures using receptances and system matrices
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DOI：10.1016/j.ymssp.2018.04.029.png)
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Abstract
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This paper is concerned with the minimum norm partial quadratic eigenvalue assignment problem (MNPQEAP) for vibrating structures via active feedback control. We propose a gradient-based optimization method for solving the MNPQEAP using the receptance measurements, system matrices and a few undesired open-loop eigenvalues with associated eigenvectors. The real form of our method is also derived. Numerical tests show that the proposed methods are effective for solving the MNPQEAP with multiple-input vibration controls. (C) 2018 Elsevier Ltd. All rights reserved.
Keywords:
PARTIAL POLE-PLACEMENT
2ND-ORDER SYSTEMS
GRADIENT FLOW
TIME-DELAY
PENCIL
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