Nonparametric Identification of Nonlinearity in Wiener-Hammerstein Systems

Grzegorz Mzyk

2012

Abstract

In the paper we recover the static characteristic of Wiener-Hammerstein (sandwich) system from input-output data. The system is excited and disturbed by random processes with arbitrary distribution. Two kernel-based estimates are proposed and compared. It is shown that they can successfully recover the system characteristic under small amount of a priori information about the static characteristic and the surrounding dynamic blocks. The identified nonlinear function is not parametrized and is not assumed to be invertible, which is common restriction in the literature. The orders of linear dynamic blocks are also unknown. The convergence of the estimates take place for the points in which the input probability density function in positive. The effectiveness of the algorithms is illustrated in simulation example.

Paper Citation

in Harvard Style

Mzyk G. (2012). Nonparametric Identification of Nonlinearity in Wiener-Hammerstein Systems . In Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-8565-21-1, pages 439-445. DOI: 10.5220/0003989304390445

in Bibtex Style

@conference{icinco12,
author={Grzegorz Mzyk},
title={Nonparametric Identification of Nonlinearity in Wiener-Hammerstein Systems},
booktitle={Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2012},
pages={439-445},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003989304390445},
isbn={978-989-8565-21-1},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 9th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Nonparametric Identification of Nonlinearity in Wiener-Hammerstein Systems
SN - 978-989-8565-21-1
AU - Mzyk G.
PY - 2012
SP - 439
EP - 445
DO - 10.5220/0003989304390445