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 |
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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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