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Eigenstructure assignment in a class of second-order dynamic systems

Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of secondorder dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established based on two simple Smith...

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Bibliographic Details
Published in:Journal of control theory and applications 2006-08, Vol.4 (3), p.302-308
Main Authors: Wang, Guosheng, LV, Qiang, Duan, Guangren
Format: Article
Language:English
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Summary:Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of secondorder dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established based on two simple Smith form reductions. 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.
ISSN:1672-6340
1993-0623
DOI:10.1007/s11768-006-5010-x