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Abstract:
This article presents a novel online identification algorithm for nonlinear regression models. The online identification problem is challenging due to the presence of nonlinear structure in the models. Previous works usually ignore the special structure of nonlinear regression models, in which the parameters can be partitioned into a linear part and a nonlinear part. In this article, we develop an efficient recursive algorithm for nonlinear regression models based on analyzing the equivalent form of variable projection (VP) algorithm. By introducing the embedded point iteration step, the proposed recursive algorithm can properly exploit the coupling relationship of linear parameters and nonlinear parameters. In addition, we theoretically prove that the proposed algorithm is mean-square bounded. Numerical experiments on synthetic data and real-world time series verify the high efficiency and robustness of the proposed algorithm. © 1963-2012 IEEE.
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IEEE Transactions on Automatic Control
ISSN: 0018-9286
Year: 2023
Issue: 7
Volume: 68
Page: 4257-4264
6 . 2
JCR@2023
6 . 2 0 0
JCR@2023
ESI HC Threshold:35
JCR Journal Grade:1
CAS Journal Grade:1
Cited Count:
SCOPUS Cited Count: 6
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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