Computationally efficient estimation of wave propagation functions from 1-D wave experiments on viscoelastic materials

Autor:	Kaushik Mahata, Lars Hillström, Torsten Söderström
Rok vydání:	2004
Předmět:	Nonlinear system Control and Systems Engineering Wave propagation Numerical analysis Frequency domain Calculus Estimator Equidistant Electrical and Electronic Engineering Algorithm Subspace topology Weighting Mathematics
Zdroj:	Automatica. 40:713-727
ISSN:	0005-1098
DOI:	10.1016/j.automatica.2003.12.015
Popis:	Least-squares based non-parametric estimation of the wave propagation functions of a viscoelastic material is considered in this paper. Widely used nonlinear least-squares-based algorithms are often computationally expensive and suffer from numerical problems. In this paper, we propose a class of subspace estimators which assume equidistant sensor configuration. The proposed estimator is computationally economical and numerically robust. Analytical expressions for the estimation accuracy have been derived. It is also shown that the subspace estimator achieves the optimal accuracy under the optimal weighting. The algorithm is employed on simulated data as well as on real experimental data. The results therefrom are shown to confirm the analytical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2af47c40f8a8a5bdced9bbeef5120b88 https://doi.org/10.1016/j.automatica.2003.12.015 Zobrazit plný text záznamu Full Text from ScienceDirect