Eigenstructure assignment in second-order linear systems: A parametric design method

Guosheng Wang; Bing Liang; Qiang Lv; Guangren Duan

doi:10.1109/CHICC.2006.4346798

Eigenstructure assignment in second-order linear systems: A parametric design method

Guosheng Wang^*
, Bing Liang
, Qiang Lv
, Guangren Duan

^*Corresponding author for this work

School of Astronautics

Academy of Armored Force Engineering China
Harbin Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

Eigenstructure assignment via the proportional-plus-derivative feedback in second-order linear systems is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established. The approach utilizes directly the original system data and involves manipulations only on n-dimensional matrices. Furthermore, it reveals all the degrees of freedom, which can be further utilized to achieve additional system specifications. An example shows the effect of the proposed approach.

Original language	English
Title of host publication	Proceedings of the 26th Chinese Control Conference, CCC 2007
Pages	9-13
Number of pages	5
DOIs	https://doi.org/10.1109/CHICC.2006.4346798
State	Published - 2007
Event	26th Chinese Control Conference, CCC 2007 - Zhangjiajie, China Duration: 26 Jul 2007 → 31 Jul 2007

Publication series

Name	Proceedings of the 26th Chinese Control Conference, CCC 2007

Conference

Conference	26th Chinese Control Conference, CCC 2007
Country/Territory	China
City	Zhangjiajie
Period	26/07/07 → 31/07/07

Keywords

Eigenstructure assignment
Parameterization
Proportional-plus- derivative control
Second-order linear systems

Access to Document

10.1109/CHICC.2006.4346798

Cite this

@inproceedings{75cca0d7a35b4178bfdf0001dcc6a47f,

title = "Eigenstructure assignment in second-order linear systems: A parametric design method",

abstract = "Eigenstructure assignment via the proportional-plus-derivative feedback in second-order linear systems is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established. The approach utilizes directly the original system data and involves manipulations only on n-dimensional matrices. Furthermore, it reveals all the degrees of freedom, which can be further utilized to achieve additional system specifications. An example shows the effect of the proposed approach.",

keywords = "Eigenstructure assignment, Parameterization, Proportional-plus- derivative control, Second-order linear systems",

author = "Guosheng Wang and Bing Liang and Qiang Lv and Guangren Duan",

year = "2007",

doi = "10.1109/CHICC.2006.4346798",

language = "英语",

isbn = "7900719229",

series = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

pages = "9--13",

booktitle = "Proceedings of the 26th Chinese Control Conference, CCC 2007",

note = "26th Chinese Control Conference, CCC 2007 ; Conference date: 26-07-2007 Through 31-07-2007",

}

Wang, G, Liang, B, Lv, Q & Duan, G 2007, Eigenstructure assignment in second-order linear systems: A parametric design method. in Proceedings of the 26th Chinese Control Conference, CCC 2007., 4346798, Proceedings of the 26th Chinese Control Conference, CCC 2007, pp. 9-13, 26th Chinese Control Conference, CCC 2007, Zhangjiajie, China, 26/07/07. https://doi.org/10.1109/CHICC.2006.4346798

Eigenstructure assignment in second-order linear systems: A parametric design method. / Wang, Guosheng; Liang, Bing; Lv, Qiang et al.
Proceedings of the 26th Chinese Control Conference, CCC 2007. 2007. p. 9-13 4346798 (Proceedings of the 26th Chinese Control Conference, CCC 2007).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Eigenstructure assignment in second-order linear systems

T2 - 26th Chinese Control Conference, CCC 2007

AU - Wang, Guosheng

AU - Liang, Bing

AU - Lv, Qiang

AU - Duan, Guangren

PY - 2007

Y1 - 2007

N2 - Eigenstructure assignment via the proportional-plus-derivative feedback in second-order linear systems is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established. The approach utilizes directly the original system data and involves manipulations only on n-dimensional matrices. Furthermore, it reveals all the degrees of freedom, which can be further utilized to achieve additional system specifications. An example shows the effect of the proposed approach.

AB - Eigenstructure assignment via the proportional-plus-derivative feedback in second-order linear systems is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established. The approach utilizes directly the original system data and involves manipulations only on n-dimensional matrices. Furthermore, it reveals all the degrees of freedom, which can be further utilized to achieve additional system specifications. An example shows the effect of the proposed approach.

KW - Eigenstructure assignment

KW - Parameterization

KW - Proportional-plus- derivative control

KW - Second-order linear systems

UR - https://www.scopus.com/pages/publications/37749020592

U2 - 10.1109/CHICC.2006.4346798

DO - 10.1109/CHICC.2006.4346798

M3 - 会议稿件

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SN - 7900719229

SN - 9787900719225

T3 - Proceedings of the 26th Chinese Control Conference, CCC 2007

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BT - Proceedings of the 26th Chinese Control Conference, CCC 2007

Y2 - 26 July 2007 through 31 July 2007

ER -

Eigenstructure assignment in second-order linear systems: A parametric design method

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Keywords

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