DocumentCode
851625
Title
Recursive Identification for Hammerstein System With ARX Subsystem
Author
Zhao, Wen-Xiao ; Chen, Han-Fu
Author_Institution
Inst. of Syst. Sci., Acad. Sinica, Beijing
Volume
51
Issue
12
fYear
2006
Firstpage
1966
Lastpage
1974
Abstract
Identification is considered for the Hammerstein system consisting of a static nonlinear block f(middot) followed by an ARX subsystem, when the system output is observed with noise. No assumption is made on the structure of f(middot). Recursive estimates are given for coefficients of the ARX subsystem and for the value of f(u) at any u. All estimates are proved to converge to the true values with probability one. Numerical examples are provided justifying the theoretical analysis
Keywords
matrix algebra; nonlinear systems; recursive estimation; ARX subsystem; Hammerstein system; recursive estimation; recursive identification; static nonlinear block; Approximation methods; Automatic control; Control systems; Laboratories; Linear systems; Nonlinear systems; Recursive estimation; Signal processing; Stochastic resonance; Stochastic systems; ARX; Hammerstein system; nonparametric nonlinearity; recursive estimate; stochastic approximation; strong consistency;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2006.886502
Filename
4026659
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