An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback

Autor: Jiafan Zhang, Jianping Ye, Huajiang Ouyang, Xiang Yin
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of Low Frequency Noise, Vibration and Active Control, Vol 37 (2018)
Druh dokumentu: article
ISSN: 1461-3484
2048-4046
14613484
DOI: 10.1177/1461348418756026
Popis: The partial eigenvalue (or natural frequency) assignment or placement, only by the stiffness matrix perturbation, of an undamped vibrating system is addressed in this paper. A novel and explicit formula of determining the perturbating stiffness matrix is deduced from the eigenvalues perturbation theorem for a low-rank perturbed matrix. This formula is then utilized to solve the partial eigenvalue (or natural frequency) assignment via the static output feedback. The control matrix, output matrix and feedback gain matrix can be explicitly expressed and easily constructed.
Databáze: Directory of Open Access Journals
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