Eigenstructure Assignment by Decentralized Output Feedback—A Complete Parametric Approach

Guang Ren Duan

doi:10.1109/9.284882

Eigenstructure Assignment by Decentralized Output Feedback—A Complete Parametric Approach

Guang Ren Duan^*

^*Corresponding author for this work

School of Astronautics

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

Abstract

The problem of eigenstructure assignment in multivariable linear systems by decentralized output feedback is considered. By using a complete parametric solution of a generalized Sylvester matrix equation, parametric representations of both the left and right closed-loop eigenvectors and generalized eigenvectors as well as the feedback gains with respect to the closed-loop eigenvalues and two series of partially free parameter vectors are established. The obtained result does not require any conditions on the closed-loop eigenvalues, and generalize some previous results in this area. An example shows the effect of the proposed approach.

Original language	English
Pages (from-to)	1009-1014
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	39
Issue number	5
DOIs	https://doi.org/10.1109/9.284882
State	Published - May 1994

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title = "Eigenstructure Assignment by Decentralized Output Feedback—A Complete Parametric Approach",

abstract = "The problem of eigenstructure assignment in multivariable linear systems by decentralized output feedback is considered. By using a complete parametric solution of a generalized Sylvester matrix equation, parametric representations of both the left and right closed-loop eigenvectors and generalized eigenvectors as well as the feedback gains with respect to the closed-loop eigenvalues and two series of partially free parameter vectors are established. The obtained result does not require any conditions on the closed-loop eigenvalues, and generalize some previous results in this area. An example shows the effect of the proposed approach.",

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AB - The problem of eigenstructure assignment in multivariable linear systems by decentralized output feedback is considered. By using a complete parametric solution of a generalized Sylvester matrix equation, parametric representations of both the left and right closed-loop eigenvectors and generalized eigenvectors as well as the feedback gains with respect to the closed-loop eigenvalues and two series of partially free parameter vectors are established. The obtained result does not require any conditions on the closed-loop eigenvalues, and generalize some previous results in this area. An example shows the effect of the proposed approach.

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Eigenstructure Assignment by Decentralized Output Feedback—A Complete Parametric Approach

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