An algorithm of partial eigenstructure assignment for high-order systems

Lei Zhang; Fei Yu; Xingtao Wang

doi:10.1002/mma.5118

An algorithm of partial eigenstructure assignment for high-order systems

Lei Zhang^*
, Fei Yu
, Xingtao Wang

^*Corresponding author for this work

Faculty of Computing

Shenyang Aerospace University

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

10 Scopus citations

Abstract

We put forward an algorithm for the issue on the partial eigenstructure assignment in a high-order system, in which some certain eigenpairs, in a given system, can be assigned without changing others. Then a differential equation could be used to model the given systems, so that a multi-input state feedback control deal with this assignment. Moreover, the algorithm requests the information of a few of the eigenpairs merely. As well some numerical cases are shown to prove the effect of our algorithm.

Original language	English
Pages (from-to)	6070-6079
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	16
DOIs	https://doi.org/10.1002/mma.5118
State	Published - 15 Nov 2018

Keywords

high-order systems
partial eigenvalue assignment
state feedback control

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10.1002/mma.5118

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abstract = "We put forward an algorithm for the issue on the partial eigenstructure assignment in a high-order system, in which some certain eigenpairs, in a given system, can be assigned without changing others. Then a differential equation could be used to model the given systems, so that a multi-input state feedback control deal with this assignment. Moreover, the algorithm requests the information of a few of the eigenpairs merely. As well some numerical cases are shown to prove the effect of our algorithm.",

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N2 - We put forward an algorithm for the issue on the partial eigenstructure assignment in a high-order system, in which some certain eigenpairs, in a given system, can be assigned without changing others. Then a differential equation could be used to model the given systems, so that a multi-input state feedback control deal with this assignment. Moreover, the algorithm requests the information of a few of the eigenpairs merely. As well some numerical cases are shown to prove the effect of our algorithm.

AB - We put forward an algorithm for the issue on the partial eigenstructure assignment in a high-order system, in which some certain eigenpairs, in a given system, can be assigned without changing others. Then a differential equation could be used to model the given systems, so that a multi-input state feedback control deal with this assignment. Moreover, the algorithm requests the information of a few of the eigenpairs merely. As well some numerical cases are shown to prove the effect of our algorithm.

KW - high-order systems

KW - partial eigenvalue assignment

KW - state feedback control

UR - https://www.scopus.com/pages/publications/85055316429

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M3 - 文章

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An algorithm of partial eigenstructure assignment for high-order systems

Abstract

Keywords

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