Recursive Identification for Hammerstein System with ARX Subsystem

Author

Wen-Xiao Zhao ; Han-Fu Chen

Author_Institution

Acad. of Math. & Syst. Sci., Chinese Acad. of Sci., Beijing, China

fYear

2006

fDate

7-11 Aug. 2006

Firstpage

473

Lastpage

476

Abstract

Identification is considered for the Hammerstein system consisting of a static nonlinear block f(·) followed by an ARX subsystem, when the system output is observed with noise. No assumption is made on the structure of f(·). Recursive estimates are given for coefficients of the ARX subsystem and for the value of f(u) at any u. All estimates are convergent to the true values with probability one. Numerical examples are provided justifying the theoretical analysis.

Keywords

autoregressive processes; control nonlinearities; multivariable control systems; nonlinear control systems; probability; recursive estimation; ARX subsystem; Hammerstein system; nonparametric nonlinearity; probability; recursive estimation; recursive identification; single-input single-output system; static nonlinear block; stochastic approximation; Control systems; IEEE catalog; Linear systems; Mathematics; Nonlinear systems; Random variables; Recursive estimation; Signal processing; Stochastic systems; ARX; Hammerstein system; nonparametric nonlinearity; recursive estimate; stochastic approximation; strong consistency;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2006. CCC 2006. Chinese

Conference_Location

Harbin

Print_ISBN

7-81077-802-1

Type

conf

DOI

10.1109/CHICC.2006.280615

Filename

4060561