@Article{CSIAM-AM-2-357,
author = {Lu , Min and Bai , ZhengJian},
title = {A Receptance-Based Optimization Approach for Minimum Norm and Robust Partial Quadratic Eigenvalue Assignment},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2021},
volume = {2},
number = {2},
pages = {357--375},
abstract = {<p style="text-align: justify;">This paper is concerned with finding a minimum norm and robust solution to the partial quadratic eigenvalue assignment problem for vibrating structures
by active feedback control. We present a receptance-based optimization approach for
solving this problem. We provide a new cost function to measure the robustness and
the feedback norms simultaneously, where the robustness is measured by the unitarity
or orthogonalization of the closed-loop eigenvector matrix. Based on the measured
receptances, the system matrices and a few undesired open-loop eigenvalues and associated eigenvectors, we derive the explicit gradient expression of the cost function.
Finally, we report some numerical results to show the effectiveness of our method.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.2021.nla.06},
url = {http://global-sci.org/intro/article_detail/csiam-am/18889.html}
}