Title
Nonlinear System Identification Using Optimally Selected Laguerre Filter Banks
Abstract
A system's Volterra kernels may be estimated by identifying a Wiener-Bose model consisting of a bank or discrete Laguerre filters followed by a multiple input polynomial. This projects the kernels onto a reduced-order basis formed by the impulse responses of the Laguerre filters, dramatically reducing the number of estimated parameters, but requiring the a priori selection of two tuning parameters: a decay parameter that defines the Laguerre filters, and the number of filters in the bank. In applications to linear system identification, these tuning parameters can be selected automatically, using either an iterative optimization or an analytical solution. In this paper, both the iterative and analytical techniques are derived for the nonlinear case, and applied to the identification of Wiener-Bose models. A simulation study is used to evaluate the performance of the proposed algorithms.
Year
DOI
Venue
2006
10.1109/ACC.2006.1656574
2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12
Keywords
DocType
Volume
nonlinear system identification, Laguerre filters, Volterra kernels, separable least squares
Conference
1-12
ISSN
Citations 
PageRank 
0743-1619
1
0.43
References 
Authors
6
2
Name
Order
Citations
PageRank
Arne G. Dankers17810.25
David T. Westwick27214.71