The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis
Autor(a) principal: | |
---|---|
Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Acta scientiarum. Technology (Online) |
Texto Completo: | http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16528 |
Resumo: | This paper presents the computation of two limits for the nonlinear gain of the error-squared controller considering two procedures and performance analysis so that a closed-loop system with this control algorithm is asymptotically stable in the Lyapunov sense. The first limit for the nonlinear gain is obtained using Lyapunov stability theorem. The second limit for the nonlinear gain is obtained computing a limit for a linear gain and then the procedure is generalized to the nonlinear case. Simulation results were made comparing the tuning methods proposed in this paper, for the error-squared controller, with other tuning conventional methods found in the literature. It shown that the limit computed from second method is more conservative. |
id |
UEM-6_8037fc6b67f9fa2e7f230e5a87376548 |
---|---|
oai_identifier_str |
oai:periodicos.uem.br/ojs:article/16528 |
network_acronym_str |
UEM-6 |
network_name_str |
Acta scientiarum. Technology (Online) |
repository_id_str |
|
spelling |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysisLyapunov stabilizationnonlinear controlerror-squared controllerperformanceEngenharia ElétricaThis paper presents the computation of two limits for the nonlinear gain of the error-squared controller considering two procedures and performance analysis so that a closed-loop system with this control algorithm is asymptotically stable in the Lyapunov sense. The first limit for the nonlinear gain is obtained using Lyapunov stability theorem. The second limit for the nonlinear gain is obtained computing a limit for a linear gain and then the procedure is generalized to the nonlinear case. Simulation results were made comparing the tuning methods proposed in this paper, for the error-squared controller, with other tuning conventional methods found in the literature. It shown that the limit computed from second method is more conservative. Universidade Estadual De Maringá2014-03-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionLyapunov stabilizationapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/1652810.4025/actascitechnol.v36i3.16528Acta Scientiarum. Technology; Vol 36 No 3 (2014); 497-504Acta Scientiarum. Technology; v. 36 n. 3 (2014); 497-5041806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16528/pdf_18Sausen, AiramSausen, Paulo SérgioCampos, Maurício deinfo:eu-repo/semantics/openAccess2014-06-27T15:05:00Zoai:periodicos.uem.br/ojs:article/16528Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2014-06-27T15:05Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false |
dc.title.none.fl_str_mv |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis |
title |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis |
spellingShingle |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis Sausen, Airam Lyapunov stabilization nonlinear control error-squared controller performance Engenharia Elétrica |
title_short |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis |
title_full |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis |
title_fullStr |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis |
title_full_unstemmed |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis |
title_sort |
The error-squared controller: a proposed for computation of nonlinear gain through Lyapunov stability analysis |
author |
Sausen, Airam |
author_facet |
Sausen, Airam Sausen, Paulo Sérgio Campos, Maurício de |
author_role |
author |
author2 |
Sausen, Paulo Sérgio Campos, Maurício de |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Sausen, Airam Sausen, Paulo Sérgio Campos, Maurício de |
dc.subject.por.fl_str_mv |
Lyapunov stabilization nonlinear control error-squared controller performance Engenharia Elétrica |
topic |
Lyapunov stabilization nonlinear control error-squared controller performance Engenharia Elétrica |
description |
This paper presents the computation of two limits for the nonlinear gain of the error-squared controller considering two procedures and performance analysis so that a closed-loop system with this control algorithm is asymptotically stable in the Lyapunov sense. The first limit for the nonlinear gain is obtained using Lyapunov stability theorem. The second limit for the nonlinear gain is obtained computing a limit for a linear gain and then the procedure is generalized to the nonlinear case. Simulation results were made comparing the tuning methods proposed in this paper, for the error-squared controller, with other tuning conventional methods found in the literature. It shown that the limit computed from second method is more conservative. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-03-06 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Lyapunov stabilization |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16528 10.4025/actascitechnol.v36i3.16528 |
url |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16528 |
identifier_str_mv |
10.4025/actascitechnol.v36i3.16528 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/16528/pdf_18 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Estadual De Maringá |
publisher.none.fl_str_mv |
Universidade Estadual De Maringá |
dc.source.none.fl_str_mv |
Acta Scientiarum. Technology; Vol 36 No 3 (2014); 497-504 Acta Scientiarum. Technology; v. 36 n. 3 (2014); 497-504 1806-2563 1807-8664 reponame:Acta scientiarum. Technology (Online) instname:Universidade Estadual de Maringá (UEM) instacron:UEM |
instname_str |
Universidade Estadual de Maringá (UEM) |
instacron_str |
UEM |
institution |
UEM |
reponame_str |
Acta scientiarum. Technology (Online) |
collection |
Acta scientiarum. Technology (Online) |
repository.name.fl_str_mv |
Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM) |
repository.mail.fl_str_mv |
||actatech@uem.br |
_version_ |
1799315334936657920 |