DocumentCode
1545498
Title
Closed forms for the Levinson coefficients of polynomial compensators and inverse systems
Author
Baram, Yoram
Author_Institution
Dept. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel
Volume
35
Issue
8
fYear
1990
fDate
8/1/1990 12:00:00 AM
Firstpage
929
Lastpage
932
Abstract
The least-squares transformation of a discrete-time multivariable linear system into a desired system by convolving the first with a polynomial system yields optimal polynomial solutions to the problems of system compensation, inversion, and approximation. The polynomial coefficients are obtained from the solution of a normal linear matrix equation whose coefficients are shown to be the weighting patterns of certain linear systems. These can then be used in the recursive solution of the normal equation
Keywords
discrete time systems; linear systems; matrix algebra; multivariable systems; polynomials; Levinson coefficients; discrete-time multivariable linear system; inverse systems; least-squares transformation; linear matrix; polynomial compensators; Automatic control; Control systems; Equations; Least squares approximation; Linear systems; Optimal control; Performance loss; Polynomials; Robust control; Sampling methods;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.58503
Filename
58503
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