DocumentCode
1384472
Title
On the series expansion approach to the identification of Hammerstein systems
Author
Pawlak, Miroslaw
Author_Institution
Dept. of Electr. Eng., Manitoba Univ., Winnipeg, Man., Canada
Volume
36
Issue
6
fYear
1991
fDate
6/1/1991 12:00:00 AM
Firstpage
763
Lastpage
767
Abstract
A polynomial identification algorithm for recovering a nonlinearity in the Hammerstein system is proposed. The estimate employs the Legendre orthogonal system with adaptively selected number of terms. The global consistency along with rates of convergence are established. No assumptions concerning continuity of the nonlinearity or its functional form are made. A data-driven method using the cross-validation technique for selecting the number of terms in the estimate is presented
Keywords
control nonlinearities; convergence of numerical methods; identification; nonlinear systems; series (mathematics); Hammerstein systems; Legendre orthogonal system; convergence; cross-validation; data-driven method; identification; nonlinearity; polynomial; series expansion; Convergence; Density functional theory; Kernel; Nonlinear distortion; Polynomials; Process control; Signal processing; Signal processing algorithms; Smoothing methods; System identification;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.86954
Filename
86954
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