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Parametric Approaches for Eigenstructure Assignment in High-order Linear Systems  

Duan Guang-Ren (Center for Control and Guidance Technology, Harbin Institute of Technology)
Publication Information
International Journal of Control, Automation, and Systems / v.3, no.3, 2005 , pp. 419-429 More about this Journal
Abstract
This paper considers eigenstructure assignment in high-order linear systems via proportional plus derivative feedback. It is shown that the problem is closely related with a type of so-called high-order Sylvester matrix equations. Through establishing two general parametric solutions to this type of matrix equations, two complete parametric methods for the proposed eigenstructure assignment problem are presented. Both methods give simple complete parametric expressions for the feedback gains and the closed-loop eigenvector matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically very simple and reliable; the second one utilizes the right factorization of the system, and allows the closed-loop eigenvalues to be set undetermined and sought via certain optimization procedures. An example shows the effect of the proposed approaches.
Keywords
High-order linear systems; eigenstructure assignment; proportional plus derivative feedback; parametric solutions; singular value decomposition; right factorization;
Citations & Related Records

Times Cited By Web Of Science : 13  (Related Records In Web of Science)
Times Cited By SCOPUS : 14
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