DocumentCode
843271
Title
On the relationship between controllability indexes, Eigenvector assignment, and deadbeat control
Author
Klein, George
Author_Institution
Columbia University, New York, NY, USA
Volume
29
Issue
1
fYear
1984
fDate
1/1/1984 12:00:00 AM
Firstpage
77
Lastpage
79
Abstract
The subspaces, to which closed-loop generalized eigenvectors are restricted, are described in terms of the controllability indexes of the pair ( 
) and the polynomials of minimal degree that span ker[ 
]. This characterization of the eigenspaces is then used to calculate the deadbeat controller of minimum Frobenius norm.
) and the polynomials of minimal degree that span ker[ ]. This characterization of the eigenspaces is then used to calculate the deadbeat controller of minimum Frobenius norm.Keywords
Controllability, linear systems; Eigenstructure assignment, linear systems; Time-optimal control, linear systems; Control system synthesis; Control systems; Controllability; Equations; Marine vehicles; Optimal control; Polynomials; State feedback;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1984.1103380
Filename
1103380
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