On identification of the controlled plants described by the Hammerstein system

Author

Zi-Qiang, Lang

Author_Institution

Northeast Univ. of Technol., Shenyang, China

Volume

39

Issue

3

fYear

1994

fDate

3/1/1994 12:00:00 AM

Firstpage

569

Lastpage

573

Abstract

A new polynomial identification method for the Hammerstein system is proposed. The method employs the results of nonparametric statistics and best approximation theory, obtaining a polynomial form estimate of the nonlinearity in the system. Except continuity, no conditions are imposed on the nonlinearity. The uniform as well as global convergence of the method is established. The rates of convergence in both cases are derived under mild conditions on the smoothness of the nonlinearity. The method is especially suitable for identifying the controlled plants with the description of Hammerstein systems

Keywords

approximation theory; control nonlinearities; convergence; discrete time systems; identification; polynomials; statistical analysis; Hammerstein system; best approximation theory; discrete time SISO systems; global convergence; nonlinearity; nonparametric statistics; polynomial identification; Approximation methods; Control systems; Convergence; Design methodology; Hydraulic actuators; Nonlinear control systems; Nonlinear dynamical systems; Polynomials; Statistics; System identification;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.280761

Filename

280761