Non-parametric orthogonal series identification of Hammerstein systems
作者:
WLODZIMIERZ GREBLICKI,
期刊:
International Journal of Systems Science
(Taylor Available online 1989)
卷期:
Volume 20,
issue 12
页码: 2355-2367
ISSN:0020-7721
年代: 1989
DOI:10.1080/00207728908910318
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
The non-linearity in a discrete system governed by the Hammerstein functional is identified. The system is driven by a random while input signal and the output is disturbed by a random white noise. No parametric a priori information concerning the non-linearity is available and non-parametric algorithms are proposed. The algorithms are derived from the trigonometric as well as Hermite orthogonal series. It is shown that the algorithms converge to the unknown characteristic in a pointwise manner and that the mean integrated square error converges to zero as the number of observations tends to infinity. The rate of convergence is examined. A numerical example is also given.
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