An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control

Bibliographic Details
Main Author: Shahri, Esmat Sadat Alaviyan
Publication Date: 2015
Other Authors: Alfi, Alireza, Machado, J. A. Tenreiro
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10400.22/6959
Summary: This paper employs the Lyapunov direct method for the stability analysis of fractional order linear systems subject to input saturation. A new stability condition based on saturation function is adopted for estimating the domain of attraction via ellipsoid approach. To further improve this estimation, the auxiliary feedback is also supported by the concept of stability region. The advantages of the proposed method are twofold: (1) it is straightforward to handle the problem both in analysis and design because of using Lyapunov method, (2) the estimation leads to less conservative results. A numerical example illustrates the feasibility of the proposed method.
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spelling An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation ControlFractional-order systemsStabilityDomain of attractionInput saturationEllipsoid approachThis paper employs the Lyapunov direct method for the stability analysis of fractional order linear systems subject to input saturation. A new stability condition based on saturation function is adopted for estimating the domain of attraction via ellipsoid approach. To further improve this estimation, the auxiliary feedback is also supported by the concept of stability region. The advantages of the proposed method are twofold: (1) it is straightforward to handle the problem both in analysis and design because of using Lyapunov method, (2) the estimation leads to less conservative results. A numerical example illustrates the feasibility of the proposed method.ElsevierREPOSITÓRIO P.PORTOShahri, Esmat Sadat AlaviyanAlfi, AlirezaMachado, J. A. Tenreiro2015-11-20T11:34:15Z20152015-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/6959eng10.1016/j.aml.2015.02.020info:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-02T03:28:04Zoai:recipp.ipp.pt:10400.22/6959Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-29T00:57:14.513073Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control
title An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control
spellingShingle An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control
Shahri, Esmat Sadat Alaviyan
Fractional-order systems
Stability
Domain of attraction
Input saturation
Ellipsoid approach
title_short An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control
title_full An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control
title_fullStr An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control
title_full_unstemmed An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control
title_sort An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control
author Shahri, Esmat Sadat Alaviyan
author_facet Shahri, Esmat Sadat Alaviyan
Alfi, Alireza
Machado, J. A. Tenreiro
author_role author
author2 Alfi, Alireza
Machado, J. A. Tenreiro
author2_role author
author
dc.contributor.none.fl_str_mv REPOSITÓRIO P.PORTO
dc.contributor.author.fl_str_mv Shahri, Esmat Sadat Alaviyan
Alfi, Alireza
Machado, J. A. Tenreiro
dc.subject.por.fl_str_mv Fractional-order systems
Stability
Domain of attraction
Input saturation
Ellipsoid approach
topic Fractional-order systems
Stability
Domain of attraction
Input saturation
Ellipsoid approach
description This paper employs the Lyapunov direct method for the stability analysis of fractional order linear systems subject to input saturation. A new stability condition based on saturation function is adopted for estimating the domain of attraction via ellipsoid approach. To further improve this estimation, the auxiliary feedback is also supported by the concept of stability region. The advantages of the proposed method are twofold: (1) it is straightforward to handle the problem both in analysis and design because of using Lyapunov method, (2) the estimation leads to less conservative results. A numerical example illustrates the feasibility of the proposed method.
publishDate 2015
dc.date.none.fl_str_mv 2015-11-20T11:34:15Z
2015
2015-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/6959
url http://hdl.handle.net/10400.22/6959
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1016/j.aml.2015.02.020
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 Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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