On the use of orthogonal polynomials in high order frequency domain system identification and its application to modal parameter estimation

Author

Rolain, Y. ; Pintelon, R. ; Xu, K.Q. ; Vold, H.

Author_Institution

Vrije Univ., Brussels, Belgium

Volume

4

fYear

1994

Firstpage

3365

Abstract

In this paper a maximum likelihood frequency domain identification technique is presented for the parametric transfer function of very high order linear time invariant systems. Through the use of orthogonal polynomials, the numerical stability of both the estimation and the calculation of derived quantities (zeros, poles) is obtained. Stochastical uncertainty bounds are provided for both estimated and derived quantities. The method will be used to perform the identification of modal analyses problems: a 50-mode simulated system and a 60-mode measured beam-structure

Keywords

frequency-domain analysis; maximum likelihood estimation; parameter estimation; transfer functions; high-order frequency-domain system identification; maximum-likelihood frequency-domain identification; measured beam-structure; modal parameter estimation; numerical stability; orthogonal polynomials; parametric transfer function; poles; stochastical uncertainty bounds; very-high-order linear time-invariant systems; zeros; Analytical models; Frequency domain analysis; Maximum likelihood estimation; Modal analysis; Numerical stability; Performance evaluation; Poles and zeros; Polynomials; Time invariant systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on

Conference_Location

Lake Buena Vista, FL

Print_ISBN

0-7803-1968-0

Type

conf

DOI

10.1109/CDC.1994.411664

Filename

411664