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Authors
Han-Fu Chen; Xiao-Li Hu

Identifier
10.3182/20060329-3-AU-2901.00019

Index Terms
Hammerstein system,Wiener system,nonparametric nonlinearity,recursive estimate,adaptive regulation,strong consistency,stochastic approximation

Abstract
For the Hammerstein and Wiener systems the paper gives i) the strongly consistent estimates for the coeffcients contained in the linear subsystem; ii) the strongly consistent estimate for f(u) at any u; iii) the optimal adaptive regulation control. No assumption is made on the structure of f(ċ). The estimates and adaptive control are given by the stochastic approximation algorithms with expanding truncations.

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