A Comparison of Evolutionary Computation Techniques for IIR Model Identification

System identification is a complex optimization problem which has recently attracted the attention in the field of science and engineering. In particular, the use of infinite impulse response (IIR) models for identification is preferred over their equivalent FIR (finite impulse response) models sinc...

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Main Authors: Erik Cuevas, Jorge Gálvez, Salvador Hinojosa, Omar Avalos, Daniel Zaldívar, Marco Pérez-Cisneros
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/827206
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author Erik Cuevas
Jorge Gálvez
Salvador Hinojosa
Omar Avalos
Daniel Zaldívar
Marco Pérez-Cisneros
author_facet Erik Cuevas
Jorge Gálvez
Salvador Hinojosa
Omar Avalos
Daniel Zaldívar
Marco Pérez-Cisneros
author_sort Erik Cuevas
collection DOAJ
description System identification is a complex optimization problem which has recently attracted the attention in the field of science and engineering. In particular, the use of infinite impulse response (IIR) models for identification is preferred over their equivalent FIR (finite impulse response) models since the former yield more accurate models of physical plants for real world applications. However, IIR structures tend to produce multimodal error surfaces whose cost functions are significantly difficult to minimize. Evolutionary computation techniques (ECT) are used to estimate the solution to complex optimization problems. They are often designed to meet the requirements of particular problems because no single optimization algorithm can solve all problems competitively. Therefore, when new algorithms are proposed, their relative efficacies must be appropriately evaluated. Several comparisons among ECT have been reported in the literature. Nevertheless, they suffer from one limitation: their conclusions are based on the performance of popular evolutionary approaches over a set of synthetic functions with exact solutions and well-known behaviors, without considering the application context or including recent developments. This study presents the comparison of various evolutionary computation optimization techniques applied to IIR model identification. Results over several models are presented and statistically validated.
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language English
publishDate 2014-01-01
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series Journal of Applied Mathematics
spelling doaj-art-5ec49d9f167e403f98a6d278dc81fc292025-02-03T05:53:11ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/827206827206A Comparison of Evolutionary Computation Techniques for IIR Model IdentificationErik Cuevas0Jorge Gálvez1Salvador Hinojosa2Omar Avalos3Daniel Zaldívar4Marco Pérez-Cisneros5Departamento de Electrónica, Universidad de Guadalajara, CUCEI, Avenida Revolución 1500, 44430 Guadalajara, JAL, MexicoDepartamento de Electrónica, Universidad de Guadalajara, CUCEI, Avenida Revolución 1500, 44430 Guadalajara, JAL, MexicoDepartamento de Electrónica, Universidad de Guadalajara, CUCEI, Avenida Revolución 1500, 44430 Guadalajara, JAL, MexicoDepartamento de Electrónica, Universidad de Guadalajara, CUCEI, Avenida Revolución 1500, 44430 Guadalajara, JAL, MexicoDepartamento de Electrónica, Universidad de Guadalajara, CUCEI, Avenida Revolución 1500, 44430 Guadalajara, JAL, MexicoCUTONALA, Avenida Nuevo Periférico 555, Ejido San José Tateposco, 48525 Tonalá, JAL, MexicoSystem identification is a complex optimization problem which has recently attracted the attention in the field of science and engineering. In particular, the use of infinite impulse response (IIR) models for identification is preferred over their equivalent FIR (finite impulse response) models since the former yield more accurate models of physical plants for real world applications. However, IIR structures tend to produce multimodal error surfaces whose cost functions are significantly difficult to minimize. Evolutionary computation techniques (ECT) are used to estimate the solution to complex optimization problems. They are often designed to meet the requirements of particular problems because no single optimization algorithm can solve all problems competitively. Therefore, when new algorithms are proposed, their relative efficacies must be appropriately evaluated. Several comparisons among ECT have been reported in the literature. Nevertheless, they suffer from one limitation: their conclusions are based on the performance of popular evolutionary approaches over a set of synthetic functions with exact solutions and well-known behaviors, without considering the application context or including recent developments. This study presents the comparison of various evolutionary computation optimization techniques applied to IIR model identification. Results over several models are presented and statistically validated.http://dx.doi.org/10.1155/2014/827206
spellingShingle Erik Cuevas
Jorge Gálvez
Salvador Hinojosa
Omar Avalos
Daniel Zaldívar
Marco Pérez-Cisneros
A Comparison of Evolutionary Computation Techniques for IIR Model Identification
Journal of Applied Mathematics
title A Comparison of Evolutionary Computation Techniques for IIR Model Identification
title_full A Comparison of Evolutionary Computation Techniques for IIR Model Identification
title_fullStr A Comparison of Evolutionary Computation Techniques for IIR Model Identification
title_full_unstemmed A Comparison of Evolutionary Computation Techniques for IIR Model Identification
title_short A Comparison of Evolutionary Computation Techniques for IIR Model Identification
title_sort comparison of evolutionary computation techniques for iir model identification
url http://dx.doi.org/10.1155/2014/827206
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