Publicação
Discrete-time positive periodic systems with state and control constraints
| Resumo: | The aim of this paper is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming. |
|---|---|
| Autores principais: | Rami, Mustapha Ait |
| Outros Autores: | Napp, Diego |
| Assunto: | Approximation methods Asymptotic stability Closed loop systems Linear systems Stability analysis |
| Ano: | 2016 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Aveiro |
| Idioma: | inglês |
| Origem: | RIA - Repositório Institucional da Universidade de Aveiro |
| _version_ | 1868442511966470144 |
|---|---|
| author | Rami, Mustapha Ait |
| author2 | Napp, Diego |
| author2_role | author |
| author_facet | Rami, Mustapha Ait Napp, Diego |
| author_role | author |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Rami, Mustapha Ait\"},{\"Person.name\":\"Napp, Diego\"}] |
| datacite.creators.creator.creatorName.fl_str_mv | Rami, Mustapha Ait Napp, Diego |
| datacite.date.Accepted.fl_str_mv | 2016-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2016-10-19T11:14:31Z |
| datacite.date.embargoed.fl_str_mv | 2016-10-19T11:14:31Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | Approximation methods Asymptotic stability Closed loop systems Linear systems Stability analysis |
| datacite.titles.title.fl_str_mv | Discrete-time positive periodic systems with state and control constraints |
| dc.creator.none.fl_str_mv | Rami, Mustapha Ait Napp, Diego |
| dc.date.Accepted.fl_str_mv | 2016-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2016-10-19T11:14:31Z |
| dc.date.embargoed.fl_str_mv | 2016-10-19T11:14:31Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | http://hdl.handle.net/10773/16199 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | IEEE |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | Approximation methods Asymptotic stability Closed loop systems Linear systems Stability analysis |
| dc.title.fl_str_mv | Discrete-time positive periodic systems with state and control constraints |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_6501 |
| description | The aim of this paper is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ria_9e55e00a9e5f817c8f48e53a7031cf7d |
| identifier.url.fl_str_mv | http://hdl.handle.net/10773/16199 |
| instacron_str | ua |
| institution | Universidade de Aveiro |
| instname_str | Universidade de Aveiro |
| language | eng |
| network_acronym_str | ria |
| network_name_str | RIA - Repositório Institucional da Universidade de Aveiro |
| oai_identifier_str | oai:ria.ua.pt:10773/16199 |
| organization_str_mv | urn:organizationAcronym:ua |
| person_str_mv | Rami, Mustapha Ait Napp, Diego |
| publishDate | 2016 |
| publisher.none.fl_str_mv | IEEE |
| reponame_str | RIA - Repositório Institucional da Universidade de Aveiro |
| repository_id_str | urn:repositoryAcronym:ria |
| service_str_mv | urn:repositoryAcronym:ria |
| spelling | porThe aim of this paper is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming.application/pdfengIEEEporDiscrete-time positive periodic systems with state and control constraintsRami, Mustapha AitNapp, DiegoHandlehttp://hdl.handle.net/10773/16199ISSNIsPartOf0018-9286DOIIsPartOf10.1109/TAC.2015.24384282016-10-19T11:14:31Z2016-01-01T00:00:00Z2016-01http://purl.org/coar/access_right/c_abf2open accessporApproximation methodsporAsymptotic stabilityporClosed loop systemsporLinear systemsporStability analysis255193 byteshttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://ria.ua.pt/bitstream/10773/16199/1/positive-periodic-syst-IEEE_twoColumns_REVISED_VERSION4.pdfliteraturehttp://purl.org/coar/resource_type/c_6501journal article |
| spellingShingle | Discrete-time positive periodic systems with state and control constraints Rami, Mustapha Ait Approximation methods Asymptotic stability Closed loop systems Linear systems Stability analysis |
| status | SINGLETON |
| subject.fl_str_mv | Approximation methods Asymptotic stability Closed loop systems Linear systems Stability analysis |
| title | Discrete-time positive periodic systems with state and control constraints |
| title_full | Discrete-time positive periodic systems with state and control constraints |
| title_fullStr | Discrete-time positive periodic systems with state and control constraints |
| title_full_unstemmed | Discrete-time positive periodic systems with state and control constraints |
| title_short | Discrete-time positive periodic systems with state and control constraints |
| title_sort | Discrete-time positive periodic systems with state and control constraints |
| topic | Approximation methods Asymptotic stability Closed loop systems Linear systems Stability analysis |
| topic_facet | Approximation methods Asymptotic stability Closed loop systems Linear systems Stability analysis |
| url | http://hdl.handle.net/10773/16199 |
| visible | 1 |