DocumentCode
1006565
Title
A simple method for deriving J -spectral factors
Author
Shaked, U. ; Yaesh, I.
Author_Institution
Dept. of Electr. Eng.-Syst., Tel-Aviv Univ., Israel
Volume
37
Issue
6
fYear
1992
fDate
6/1/1992 12:00:00 AM
Firstpage
891
Lastpage
895
Abstract
A simple method is presented for deriving the J -spectral factor of a transfer function matrix explicitly in terms of the parameters of this matrix. This method provides closed-form expressions for the J -spectral factor and its inverse which only require a solution of a single linear Sylvester equation. This method can be easily applied in the solution of the H ∞-optimal regulation problem, and it provides useful geometric insight into the structure of the optimal regulator return difference matrix
Keywords
matrix algebra; optimal control; transfer functions; H∞-optimal regulation; J-spectral factors; closed-form expressions; factorisation; linear Sylvester equation; matrix algebra; optimal control; transfer function matrix; Closed-form solution; Controllability; Difference equations; Eigenvalues and eigenfunctions; Observability; Regulators; Riccati equations; Systems engineering and theory; Transfer functions;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.256355
Filename
256355
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