An introduction to models based on Laguerre, Kautz and other related orthonormal functions. Part II: non-linear models

Oliveira, Gustavo H.C., da Rosa, Alex, Campello, Ricardo J.G.B., Machado, Jeremias B., and Amaral, Wagner B. (2012) An introduction to models based on Laguerre, Kautz and other related orthonormal functions. Part II: non-linear models. International Journal of Modelling, Identification and Control, 16 (1). pp. 1-14.

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Abstract

This paper provides an overview of system identification using orthonormal basis function models, such as those based on Laguerre, Kautz, and generalised orthonormal basis functions. The paper is separated in two parts. The first part of the paper approached issues related with linear models and models with uncertain parameters. Now, the mathematical foundations as well as their advantages and limitations are discussed within the contexts of non-linear system identification. The discussions comprise a broad bibliographical survey of the subject and a comparative analysis involving some specific model realisations, namely, Volterra, fuzzy, and neural models within the orthonormal basis functions framework. Theoretical and practical issues regarding the identification of these non-linear models are presented and illustrated by means of two case studies.

Item ID: 46789
Item Type: Article (Research - C1)
ISSN: 1746-6180
Funders: CNPq, Brazil, FAPESP, Research Foundation of the State of Paraná
Date Deposited: 23 May 2017 02:13
FoR Codes: 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010299 Applied Mathematics not elsewhere classified @ 100%
SEO Codes: 97 EXPANDING KNOWLEDGE > 970101 Expanding Knowledge in the Mathematical Sciences @ 100%
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