Semiparametric identification of Hammerstein systems using input reconstruction and a single harmonic input

Author

D´Amato, Anthony M. ; Mitchell, Kenny S. ; Teixeira, Bruno O S ; Bernstein, Dennis S.

Author_Institution

Dept. of Aerosp. Eng., Univ. of Michigan, Ann Arbor, MI, USA

fYear

2010

fDate

15-17 Dec. 2010

Firstpage

6365

Lastpage

6370

Abstract

We present a two-step method for identifying SISO Hammerstein systems. First, using a persistent input with retrospective cost optimization, we estimate a parametric model of the linear system. Next, we pass a single harmonic signal through the system. We use l-delay input reconstruction with the parametric model of the linear system to estimate the inaccessible intermediate signal. Using the estimate of the intermediate signal we estimate a nonparametric model of the static nonlinearity, which is assumed to be only piecewise continuous. This method is demonstrated on several numerical and experimental examples of increasing complexity.

Keywords

linear systems; nonlinear systems; parameter estimation; SISO Hammerstein systems; l-delay input reconstruction; linear system; retrospective cost optimization; semiparametric identification; signal estimation; single harmonic signal; static nonlinearity nonparametric model; Harmonic analysis; Indexes; Linear systems; Optimization; Parametric statistics; Polynomials; RLC circuits;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2010 49th IEEE Conference on

Conference_Location

Atlanta, GA

ISSN

0743-1546

Print_ISBN

978-1-4244-7745-6

Type

conf

DOI

10.1109/CDC.2010.5717383

Filename

5717383