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

Zhang, Jiafan, Ye, Jianping, Ouyang, Huajiang ORCID: 0000-0003-0312-0326 and Yin, Xiang (2018) An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback. JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL, 37 (4). pp. 1045-1052.

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Official URL: http://dx.doi.org/10.1177/1461348418756026

Abstract

<jats:p> 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. </jats:p>

Item Type:	Article
Uncontrolled Keywords:	Eigenvalue perturbation, active vibration control, stiffness matrix, partial eigenvalue assignment, static output feedback
Depositing User:	Symplectic Admin
Date Deposited:	05 Feb 2019 11:33
Last Modified:	19 Jan 2023 01:05
DOI:	10.1177/1461348418756026
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3032253