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Frequency domain system identification methods - Matrix fraction description approachThis paper presents the use of matrix fraction descriptions for least-squares curve fitting of the frequency spectra to compute two matrix polynomials. The matrix polynomials are intermediate step to obtain a linearized representation of the experimental transfer function. Two approaches are presented: first, the matrix polynomials are identified using an estimated transfer function; second, the matrix polynomials are identified directly from the cross/auto spectra of the input and output signals. A set of Markov parameters are computed from the polynomials and subsequently realization theory is used to recover a minimum order state space model. Unevenly spaced frequency response functions may be used. Results from a simple numerical example and an experiment are discussed to highlight some of the important aspect of the algorithm.
Document ID
19930067431
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Horta, Luca G.
(NASA Langley Research Center Hampton, VA, United States)
Juang, Jer-Nan
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1993
Publication Information
Publication: In: AIAA Guidance, Navigation and Control Conference, Monterey, CA, Aug. 9-11, 1993, Technical Papers. Pt. 3 (A93-51301 22-63)
Publisher: American Institute of Aeronautics and Astronautics
Subject Category
Cybernetics
Report/Patent Number
AIAA PAPER 93-3839
Accession Number
93A51428
Distribution Limits
Public
Copyright
Other

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