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

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

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 the...

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Bibliographic Details
Main Authors: Jiafan Zhang, Jianping Ye, Huajiang Ouyang, Xiang Yin
Format: Article
Language:English
Published: SAGE Publishing 2018-12-01
Series:Journal of Low Frequency Noise, Vibration and Active Control
Online Access:https://doi.org/10.1177/1461348418756026
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spelling doaj-549f7b39239149d39c32c57beb2cd1252020-11-25T04:02:52ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462018-12-013710.1177/1461348418756026An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedbackJiafan ZhangJianping YeHuajiang OuyangXiang YinThe 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.https://doi.org/10.1177/1461348418756026
collection DOAJ
language English
format Article
sources DOAJ
author Jiafan Zhang
Jianping Ye
Huajiang Ouyang
Xiang Yin
spellingShingle Jiafan Zhang
Jianping Ye
Huajiang Ouyang
Xiang Yin
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
author_facet Jiafan Zhang
Jianping Ye
Huajiang Ouyang
Xiang Yin
author_sort Jiafan Zhang
title An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback
title_short An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback
title_full An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback
title_fullStr An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback
title_full_unstemmed An explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback
title_sort explicit formula of perturbating stiffness matrix for partial natural frequency assignment using static output feedback
publisher SAGE Publishing
series Journal of Low Frequency Noise, Vibration and Active Control
issn 1461-3484
2048-4046
publishDate 2018-12-01
description 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.
url https://doi.org/10.1177/1461348418756026
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AT jianpingye anexplicitformulaofperturbatingstiffnessmatrixforpartialnaturalfrequencyassignmentusingstaticoutputfeedback
AT huajiangouyang anexplicitformulaofperturbatingstiffnessmatrixforpartialnaturalfrequencyassignmentusingstaticoutputfeedback
AT xiangyin anexplicitformulaofperturbatingstiffnessmatrixforpartialnaturalfrequencyassignmentusingstaticoutputfeedback
AT jiafanzhang explicitformulaofperturbatingstiffnessmatrixforpartialnaturalfrequencyassignmentusingstaticoutputfeedback
AT jianpingye explicitformulaofperturbatingstiffnessmatrixforpartialnaturalfrequencyassignmentusingstaticoutputfeedback
AT huajiangouyang explicitformulaofperturbatingstiffnessmatrixforpartialnaturalfrequencyassignmentusingstaticoutputfeedback
AT xiangyin explicitformulaofperturbatingstiffnessmatrixforpartialnaturalfrequencyassignmentusingstaticoutputfeedback
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