Title :
Frequency-domain transfer-function identification using Chebyshev polynomials
Author :
Johnson, J.M. ; Trudnowski, D.J.
Author_Institution :
Pacific Northwest Lab., Richland, WA, USA
Abstract :
An approach is proposed for identifying a linear single-input single-output model from the frequency response of a system with unknown order. The approach involves representing the transfer function as the ratio of linearly-combined Chebyshev polynomials and solving an over-determined linear equation set. The method is compared with two other previously proposed techniques and shown to perform very well under noisy data conditions
Keywords :
Chebyshev approximation; frequency response; frequency-domain analysis; identification; least squares approximations; polynomials; transfer functions; Chebyshev polynomials; frequency response; frequency-domain transfer-function identification; linear single-input single-output model; noisy data conditions; over-determined linear equation set; Chebyshev approximation; Cost function; Equations; Frequency response; Laboratories; Matrices; Matrix decomposition; Polynomials; Singular value decomposition; Transfer functions;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325870
