Identification of Dynamic Systems with Interval Arithmetic

Identification of Dynamic Systems with Interval Arithmetic

This paper aims to identify three electrical systems: a series RLC circuit, a motor/generator coupled system, and the Duffing-Ueda oscillator. In order to obtain the system's models was used the error reduction ratio and the Akaike information criterion. Our approach to handle the numerical err...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Peixoto, Márcia L. C, Matos, Marco T. R, Júnior, Wilson R. Lacerda, Martins, Samir A. M, Nepomuceno, Erivelton G
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science - Systems and Control
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Peixoto, Márcia L. C
Matos, Marco T. R
Júnior, Wilson R. Lacerda
Martins, Samir A. M
Nepomuceno, Erivelton G
description This paper aims to identify three electrical systems: a series RLC circuit, a motor/generator coupled system, and the Duffing-Ueda oscillator. In order to obtain the system's models was used the error reduction ratio and the Akaike information criterion. Our approach to handle the numerical errors was the interval arithmetic by means of the resolution of the least squares estimation. The routines was implemented in Intlab, a Matlab toolbox devoted to arithmetic interval. Finally, the interval RMSE was calculated to verify the quality of the obtained models. The applied methodology was satisfactory, since the obtained intervals encompass the system's data and allow to demonstrate how the numerical errors affect the answers.
doi_str_mv 10.48550/arxiv.1708.03214
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1708_03214</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1708_03214</sourcerecordid><originalsourceid>FETCH-LOGICAL-a674-bec1181754fb3ae1adbcc83232df81e818580fc935b3a85562d3bb452a1166433</originalsourceid><addsrcrecordid>eNotj8tqwzAURLXpoqT9gK6qH7CjqyvZSnYhfRkCWSR7cyVLVBA7QRZp_fd1066GYWA4h7EnEKUyWoslpe94LaEWphQoQd2zddP5IccQHeV4Hvg58JdpoD46fpjG7PuRf8X8yZsh-3SlE9-kufY-R_fA7gKdRv_4nwt2fHs9bj-K3f692W52BVW1Kqx3AAZqrYJF8kCddc6gRNkFA96A0UYEt0I9zzNkJTu0VmlJAFWlEBfs-e_2Bt9eUuwpTe2vRHuTwB9fMUF8</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Identification of Dynamic Systems with Interval Arithmetic</title><source>arXiv.org</source><creator>Peixoto, Márcia L. C ; Matos, Marco T. R ; Júnior, Wilson R. Lacerda ; Martins, Samir A. M ; Nepomuceno, Erivelton G</creator><creatorcontrib>Peixoto, Márcia L. C ; Matos, Marco T. R ; Júnior, Wilson R. Lacerda ; Martins, Samir A. M ; Nepomuceno, Erivelton G</creatorcontrib><description>This paper aims to identify three electrical systems: a series RLC circuit, a motor/generator coupled system, and the Duffing-Ueda oscillator. In order to obtain the system's models was used the error reduction ratio and the Akaike information criterion. Our approach to handle the numerical errors was the interval arithmetic by means of the resolution of the least squares estimation. The routines was implemented in Intlab, a Matlab toolbox devoted to arithmetic interval. Finally, the interval RMSE was calculated to verify the quality of the obtained models. The applied methodology was satisfactory, since the obtained intervals encompass the system's data and allow to demonstrate how the numerical errors affect the answers.</description><identifier>DOI: 10.48550/arxiv.1708.03214</identifier><language>eng</language><subject>Computer Science - Systems and Control</subject><creationdate>2017-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,781,886</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1708.03214$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1708.03214$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Peixoto, Márcia L. C</creatorcontrib><creatorcontrib>Matos, Marco T. R</creatorcontrib><creatorcontrib>Júnior, Wilson R. Lacerda</creatorcontrib><creatorcontrib>Martins, Samir A. M</creatorcontrib><creatorcontrib>Nepomuceno, Erivelton G</creatorcontrib><title>Identification of Dynamic Systems with Interval Arithmetic</title><description>This paper aims to identify three electrical systems: a series RLC circuit, a motor/generator coupled system, and the Duffing-Ueda oscillator. In order to obtain the system's models was used the error reduction ratio and the Akaike information criterion. Our approach to handle the numerical errors was the interval arithmetic by means of the resolution of the least squares estimation. The routines was implemented in Intlab, a Matlab toolbox devoted to arithmetic interval. Finally, the interval RMSE was calculated to verify the quality of the obtained models. The applied methodology was satisfactory, since the obtained intervals encompass the system's data and allow to demonstrate how the numerical errors affect the answers.</description><subject>Computer Science - Systems and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tqwzAURLXpoqT9gK6qH7CjqyvZSnYhfRkCWSR7cyVLVBA7QRZp_fd1066GYWA4h7EnEKUyWoslpe94LaEWphQoQd2zddP5IccQHeV4Hvg58JdpoD46fpjG7PuRf8X8yZsh-3SlE9-kufY-R_fA7gKdRv_4nwt2fHs9bj-K3f692W52BVW1Kqx3AAZqrYJF8kCddc6gRNkFA96A0UYEt0I9zzNkJTu0VmlJAFWlEBfs-e_2Bt9eUuwpTe2vRHuTwB9fMUF8</recordid><startdate>20170808</startdate><enddate>20170808</enddate><creator>Peixoto, Márcia L. C</creator><creator>Matos, Marco T. R</creator><creator>Júnior, Wilson R. Lacerda</creator><creator>Martins, Samir A. M</creator><creator>Nepomuceno, Erivelton G</creator><scope>AKY</scope><scope>GOX</scope></search><sort><creationdate>20170808</creationdate><title>Identification of Dynamic Systems with Interval Arithmetic</title><author>Peixoto, Márcia L. C ; Matos, Marco T. R ; Júnior, Wilson R. Lacerda ; Martins, Samir A. M ; Nepomuceno, Erivelton G</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-bec1181754fb3ae1adbcc83232df81e818580fc935b3a85562d3bb452a1166433</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Computer Science - Systems and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Peixoto, Márcia L. C</creatorcontrib><creatorcontrib>Matos, Marco T. R</creatorcontrib><creatorcontrib>Júnior, Wilson R. Lacerda</creatorcontrib><creatorcontrib>Martins, Samir A. M</creatorcontrib><creatorcontrib>Nepomuceno, Erivelton G</creatorcontrib><collection>arXiv Computer Science</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Peixoto, Márcia L. C</au><au>Matos, Marco T. R</au><au>Júnior, Wilson R. Lacerda</au><au>Martins, Samir A. M</au><au>Nepomuceno, Erivelton G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Identification of Dynamic Systems with Interval Arithmetic</atitle><date>2017-08-08</date><risdate>2017</risdate><abstract>This paper aims to identify three electrical systems: a series RLC circuit, a motor/generator coupled system, and the Duffing-Ueda oscillator. In order to obtain the system's models was used the error reduction ratio and the Akaike information criterion. Our approach to handle the numerical errors was the interval arithmetic by means of the resolution of the least squares estimation. The routines was implemented in Intlab, a Matlab toolbox devoted to arithmetic interval. Finally, the interval RMSE was calculated to verify the quality of the obtained models. The applied methodology was satisfactory, since the obtained intervals encompass the system's data and allow to demonstrate how the numerical errors affect the answers.</abstract><doi>10.48550/arxiv.1708.03214</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.1708.03214
ispartof
issn
language eng
recordid cdi_arxiv_primary_1708_03214
source arXiv.org
subjects Computer Science - Systems and Control
title Identification of Dynamic Systems with Interval Arithmetic
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-15T03%3A21%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Identification%20of%20Dynamic%20Systems%20with%20Interval%20Arithmetic&rft.au=Peixoto,%20M%C3%A1rcia%20L.%20C&rft.date=2017-08-08&rft_id=info:doi/10.48550/arxiv.1708.03214&rft_dat=%3Carxiv_GOX%3E1708_03214%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true