Least-squares identification of closed-loop systems
作者:
P. E. WELLSTEAD,
J. M. EDMUNDS,
期刊:
International Journal of Control
(Taylor Available online 1975)
卷期:
Volume 21,
issue 4
页码: 689-699
ISSN:0020-7179
年代: 1975
DOI:10.1080/00207177508922023
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The problem of least-squares estimation of closed-loop systems is examined. The particular configuration considered is the single input-single output discrete linear system controlled by a linear, stationary feedback regulator. Results are obtained which determine the conditions for uniqueness and consistency of the least-squares estimates of the forward-path transfer function. In particular, it is shown that if two orthogonal unobservable noise sources are present, one in each path, the system is uniquely identifiable. When the feedback path is noise-free the uniqueness of the estimates is dependent upon the order of the regulator regression polynomials. The consistency of the estimates in the case of a white forward-path disturbance is assured provided that there is at least one delay term in the loop.
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