DocumentCode
1090794
Title
Relative-error H ∞ identification from autocorrelation data-a stochastic realization method
Author
Wang, Weizheng ; Safonov, Michael G.
Author_Institution
The Mathworks Inc., Natick, MA, USA
Volume
37
Issue
7
fYear
1992
fDate
7/1/1992 12:00:00 AM
Firstpage
1000
Lastpage
1004
Abstract
A variant of the balanced stochastic truncation (BST) method for approximated realization of power spectrum matrices is shown to form the basis for an identification procedure that is well-suited to the task of determining relative-error-bounded approximate plant models for use in control design from input-output cross correlation data. Central to the theory is a novel L ∞-norm bound on the relative-error between an exact realization of the data and BST approximate realization
Keywords
identification; matrix algebra; time series; L∞-norm bound; approximated realization; balanced stochastic truncation; input-output cross correlation data; power spectrum matrices; relative-error H∞ identification; relative-error-bounded approximate plant models; time series; Autocorrelation; Differential equations; Fading; H infinity control; Kalman filters; Recursive estimation; Robust control; Robustness; Stochastic processes; Uncertainty;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.148357
Filename
148357
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