DocumentCode :
820159
Title :
On the identification of state-derivative-coupled systems
Author :
Mendel, Jerry M.
Author_Institution :
University of Southern California, Los Angeles, CA, USA
Volume :
20
Issue :
6
fYear :
1975
fDate :
12/1/1975 12:00:00 AM
Firstpage :
782
Lastpage :
785
Abstract :
This short paper treats one aspect of the identification of state-derivative-coupled systems, such as M\\dot{x}(t) = Ax(t) + Bu(t) + w(t) where M \\neq I , and M is invertible. This equation can also be written as \\dot{x}(t) = F_{1}x(t) + F_{2}u(t) + \\omega (t) . We assume that reduced form parameters ( F_{1}, F_{2} ) are identifiable and develop a sequence of tests for establishing the identifiability of structural parameters ( M, A, B ) from ( F_{1} F_{2} ). The tests are constructive, in that they not only can be used to ascertain the identifiability of ( M, A, B ); but, if ( M, A, B ) are not identifiable, can also indicate corrective actions to be taken so that ( M, A, B ) are identifiable.
Keywords :
Linear time-invariant (LTI) systems; System identification; Aircraft; Econometrics; Equations; Least squares approximation; Linear algebra; Parameter estimation; State estimation; Structural engineering; Testing;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1975.1101103
Filename :
1101103
Link To Document :
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