Identification of a Benchmark Wiener-Hammerstein System by Bilinear and Hammerstein–Bilinear Models

Author(s)

Jose A. Ramos, Nova Southeastern UniversityFollow
Paulo Lopes dos Santos
Jorge L. Martins de Carvalho

Document Type

Article

Publication Title

IFAC Proceedings Volumes

Event Date/Location

Saint-Malo, France

ISSN

1474-6670

Publication Date

7-2009

Abstract

In this paper the Wiener-Hammerstein system proposed as a benchmark for the SYSID 2009 benchmark session is identified as a bilinear discrete system. The bilinear approximation relies on both facts that the Wiener-Hammerstein system can be described by a Volterra series which can be approximated by bilinear systems. The identification is performed with an iterative bilinear subspace identification algorithm previously proposed by the authors. In order to increase accuracy, polynomial static nonlinearities are added to the bilinear model input. These Hammerstein type bilinear models are then identified using the same iterative subspace identification algorithm.

DOI

10.3182/20090706-3-FR-2004.00138

Volume

42

Issue

10

First Page

832

Last Page

837

NSUWorks Citation

Ramos, Jose A.; Lopes dos Santos, Paulo; and Martins de Carvalho, Jorge L., "Identification of a Benchmark Wiener-Hammerstein System by Bilinear and Hammerstein–Bilinear Models" (2009). CCE Faculty Articles. 400.
https://nsuworks.nova.edu/gscis_facarticles/400