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On the Relation between NARX Clusters and EvenOdd Nonlinearities through Frequency-Domain Analysis
Joint Authors
Brito, Alexandro G.
Hemerly, Elder M.
Leite Filho, Waldemar C.
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-12-07
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Although polynomial NARX models have been intensively used in nonlinear system identification, few papers discussed how to relate the inner nonlinearities to specific types of clusters and regressors.
The objective of this paper is to discuss this relationship for a class of systems that contain even or odd nonlinearities.
This class covers block-structured models (Hammerstein, Wiener, and others) and systems with dynamic nonlinearities.
To achieve the paper’s aim, a deep frequency-domain analysis is performed.
For each type of nonlinearity, all the NARX clusters are investigated and the results show that each regressor type provides specific nonlinear contribution.
The investigation is based on an output power spectra analysis when a specific multisinusoidal excitation is applied.
According to the spectral contributions in some of the frequency lines, the nonlinearity classification is possible.
By applying the same procedure to the clusters, one interprets how these clusters can (or not) contribute to explain the system nonlinearity.
The paper findings have two major impacts: (i) one gains deep knowledge on how the nonlinearities are coded by the clusters, and (ii) this information can be used, for instance, to aid a structure selection procedure (ERR, term clustering, etc.) during the discarding of the clusters which are not able to explain the system nonlinear behavior.
Some practical and experimental aspects are discussed, while numerical examples are presented to show the validity of the theoretical analysis.
American Psychological Association (APA)
Brito, Alexandro G.& Hemerly, Elder M.& Leite Filho, Waldemar C.. 2014. On the Relation between NARX Clusters and EvenOdd Nonlinearities through Frequency-Domain Analysis. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044412
Modern Language Association (MLA)
Brito, Alexandro G.…[et al.]. On the Relation between NARX Clusters and EvenOdd Nonlinearities through Frequency-Domain Analysis. Mathematical Problems in Engineering No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1044412
American Medical Association (AMA)
Brito, Alexandro G.& Hemerly, Elder M.& Leite Filho, Waldemar C.. On the Relation between NARX Clusters and EvenOdd Nonlinearities through Frequency-Domain Analysis. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1044412
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044412