Premium
Direct identification of the linear block in Wiener system
Author(s) -
Wachel Paweł,
Mzyk Grzegorz
Publication year - 2016
Publication title -
international journal of adaptive control and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.73
H-Index - 66
eISSN - 1099-1115
pISSN - 0890-6327
DOI - 10.1002/acs.2584
Subject(s) - nonlinear system , system identification , block (permutation group theory) , impulse response , identification (biology) , consistency (knowledge bases) , computer science , nonlinear system identification , kernel (algebra) , linear system , algorithm , mathematics , mathematical optimization , control theory (sociology) , artificial intelligence , data modeling , botany , control (management) , combinatorics , biology , database , mathematical analysis , physics , geometry , quantum mechanics
Summary In the paper, the linear component of the Wiener system is identified under poor knowledge about the static subsystem nonlinearity. Unlike most of other identification methods, the proposed approach allows to decompose the problem of the Wiener system identification into two simpler subproblems. The considered methodology is based on the observation that the impulse response of the dynamic subsystem is proportional to the multiple input single output mapping, directly related to the considered system. Although derivation of the method involves gradient and kernel least squares techniques, the resulting algorithm possesses explicit form and does not utilize any difficult computational procedures. The consistency of the method is proved, and sufficient conditions for algorithm's bandwidth selection are formulated. Practical aspects of the approach are discussed, and applicability of the method for small and moderate number of observations is examined numerically. Copyright © 2015 John Wiley & Sons, Ltd.