DocumentCode :
3534367
Title :
From coupled to decoupled polynomial representations in parallel Wiener-Hammerstein models
Author :
Tiels, Koen ; Schoukens, Johan
Author_Institution :
Dept. ELEC, Vrije Univ. Brussel, Brussels, Belgium
fYear :
2013
fDate :
10-13 Dec. 2013
Firstpage :
4937
Lastpage :
4942
Abstract :
A large variety of nonlinear systems can be approximated by parallel Wiener-Hammerstein models. These models consist of a multiple input multiple output (MIMO) nonlinear static block sandwiched between two linear dynamic blocks. One method is available for the identification of a general parallel Wiener-Hammerstein model. It represents the nonlinear block as a multivariate polynomial, which typically contains cross-terms. These make it harder to interpret and to invert the model.We want to eliminate the cross-terms, and thus come to a decoupled polynomial representation. In this paper, the simultaneous decoupling of quadratic and cubic polynomials is formulated as a standard tensor decomposition. A simulation example shows that the simultaneous decoupling can result in a model with less parallel branches than a decoupling of all polynomials separately.
Keywords :
MIMO systems; nonlinear control systems; polynomials; tensors; cubic polynomials; linear dynamic blocks; multiple input multiple output nonlinear static block; multivariate polynomial; nonlinear systems; parallel Wiener-Hammerstein models; polynomial representations; quadratic polynomials; standard tensor decomposition; Approximation methods; MIMO; Matrix decomposition; Polynomials; Symmetric matrices; Tensile stress; Vectors;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
ISSN :
0743-1546
Print_ISBN :
978-1-4673-5714-2
Type :
conf
DOI :
10.1109/CDC.2013.6760664
Filename :
6760664
Link To Document :
بازگشت