Frequency Domain State-Space System Identification

[+] Author and Article Information
Chung-Wen Chen

Mars Mission Research Center, North Carolina State University, Raleigh, NC 27695-7910

Jer-Nan Juang

NASA Langley Research Center, Hampton, VA 23665

G. Lee

Mars Mission Research Center, North Carolina State University, Raleigh, NC 27695-7921

J. Vib. Acoust 116(4), 523-528 (Oct 01, 1994) (6 pages) doi:10.1115/1.2930458 History: Received August 01, 1992; Revised June 01, 1993; Online June 17, 2008


This paper presents an algorithm for identifying state-space models of linear systems from frequency response data. A matrix-fraction description of the transfer function is employed to curve-fit the frequency response data, using the least-squares method. The parameters of the matrix-fraction representation are then used to construct the Markov parameters of the system. Finally, state-space models are obtained through the Eigensystem Realization Algorithm using the Markov parameters. The main advantage of this approach is that the curve-fitting and the Markov-parameter-construction are linear problems which avoid the difficulties of non-linear optimization of other approaches. Another advantage is that it avoids windowing distortions associated with other frequency domain methods.

Copyright © 1994 by The American Society of Mechanical Engineers
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