Online parameter estimation using matrix pseudoinverse
作者:
N.K.Sinha,
W.Pille,
期刊:
Proceedings of the Institution of Electrical Engineers
(IET Available online 1971)
卷期:
Volume 118,
issue 8
页码: 1041-1046
年代: 1971
DOI:10.1049/piee.1971.0207
出版商: IEE
数据来源: IET
摘要:
A method based on the matrix pseudoinverse is presented for the online identification of discrete-time systems of known order. Recursive algorithms are described which provide minimum-norm estimates of the parameter vector when insufficient data are available, and least-squares estimates with adequate data. These estimates can be updated easily with each pair of additional input-output data, as matrix inversion is not required. When the order of the system is not known, it may be determined offline using one of the two methods described. A recursive algorithm for calculating the residual error is also derived. A number of examples are given to illustrate the usefulness of the methods.
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