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Volume 12, Issue 2
Partial Eigenstructure Assignment Using Incomplete Measured Modal Data

Hao Liu, Bin-Xin He & Jia-Jia Xu

East Asian J. Appl. Math., 12 (2022), pp. 247-263.

Published online: 2022-02

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  • Abstract

A partial eigenstructure assignment problem with incomplete measured modal data is considered and the problem of its solvability is discussed. Besides, we propose a method to solve the problem such that unsuitable eigenvalues are replaced by the required ones while the remaining eigenstructure stays unchanged. The method is easily implementable and does not use QR factorization and singular-value decomposition. We also apply this method in flight control systems and numerical examples show the efficiency of our method.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-12-247, author = {Liu , HaoHe , Bin-Xin and Xu , Jia-Jia}, title = {Partial Eigenstructure Assignment Using Incomplete Measured Modal Data}, journal = {East Asian Journal on Applied Mathematics}, year = {2022}, volume = {12}, number = {2}, pages = {247--263}, abstract = {

A partial eigenstructure assignment problem with incomplete measured modal data is considered and the problem of its solvability is discussed. Besides, we propose a method to solve the problem such that unsuitable eigenvalues are replaced by the required ones while the remaining eigenstructure stays unchanged. The method is easily implementable and does not use QR factorization and singular-value decomposition. We also apply this method in flight control systems and numerical examples show the efficiency of our method.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.060621.311021}, url = {http://global-sci.org/intro/article_detail/eajam/20253.html} }
TY - JOUR T1 - Partial Eigenstructure Assignment Using Incomplete Measured Modal Data AU - Liu , Hao AU - He , Bin-Xin AU - Xu , Jia-Jia JO - East Asian Journal on Applied Mathematics VL - 2 SP - 247 EP - 263 PY - 2022 DA - 2022/02 SN - 12 DO - http://doi.org/10.4208/eajam.060621.311021 UR - https://global-sci.org/intro/article_detail/eajam/20253.html KW - Inverse problem, flight control system, partial eigenstructure assignment, incomplete eigenvector. AB -

A partial eigenstructure assignment problem with incomplete measured modal data is considered and the problem of its solvability is discussed. Besides, we propose a method to solve the problem such that unsuitable eigenvalues are replaced by the required ones while the remaining eigenstructure stays unchanged. The method is easily implementable and does not use QR factorization and singular-value decomposition. We also apply this method in flight control systems and numerical examples show the efficiency of our method.

Liu , HaoHe , Bin-Xin and Xu , Jia-Jia. (2022). Partial Eigenstructure Assignment Using Incomplete Measured Modal Data. East Asian Journal on Applied Mathematics. 12 (2). 247-263. doi:10.4208/eajam.060621.311021
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