On the identification of state-derivative-coupled systems

Author

Mendel, Jerry M.

Author_Institution

University of Southern California, Los Angeles, CA, USA

Volume

Issue

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

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=820159