Year: 2022
Author: Hao Liu, Bin-Xin He, Jia-Jia Xu
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.060621.311021
East Asian Journal on Applied Mathematics, Vol. 12 (2022), Iss. 2 : pp. 247–263
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Inverse problem flight control system partial eigenstructure assignment incomplete eigenvector.