Publicação
Differential observation and integral action in LTI state-space controllers and the PID special case
| Resumo: | This paper makes the case that practical differentiation of measured state variables may be seen as an observation or estimation scheme for linear time invariant state space controllers. It is shown that, although not having the separation property, the estimation error of this scheme converges to zero if the resulting closed loop system is strictly stable. On the basis of this concept, it is shown that PID controllers may be interpreted as a special case of state space controllers endowed with differential observation. The interesting consequences of this interpretation are discussed. |
|---|---|
| Autores principais: | Garrido, Paulo |
| Assunto: | State observation Differential observation State-space controllers PID controllers Differential observation State-space controllers PID controllers |
| Ano: | 2020 |
| País: | Portugal |
| Tipo de documento: | comunicação em conferência |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade do Minho |
| Idioma: | inglês |
| Origem: | RepositóriUM - Universidade do Minho |
| _version_ | 1866876486081839104 |
|---|---|
| author | Garrido, Paulo |
| author_facet | Garrido, Paulo |
| author_role | author |
| contributor_name_str_mv | Universidade do Minho |
| country_str | PT |
| creators_json_txt | [{\"Person.name\":\"Garrido, Paulo\"}] |
| datacite.contributors.contributor.contributorName.fl_str_mv | Universidade do Minho |
| datacite.creators.creator.creatorName.fl_str_mv | Garrido, Paulo |
| datacite.date.Accepted.fl_str_mv | 2020-01-01T00:00:00Z |
| datacite.date.available.fl_str_mv | 2021-04-13T20:58:38Z |
| datacite.date.embargoed.fl_str_mv | 2021-04-13T20:58:38Z |
| datacite.rights.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| datacite.subjects.subject.fl_str_mv | State observation Differential observation State-space controllers PID controllers Differential observation State-space controllers PID controllers |
| datacite.titles.title.fl_str_mv | Differential observation and integral action in LTI state-space controllers and the PID special case |
| dc.contributor.none.fl_str_mv | Universidade do Minho |
| dc.creator.none.fl_str_mv | Garrido, Paulo |
| dc.date.Accepted.fl_str_mv | 2020-01-01T00:00:00Z |
| dc.date.available.fl_str_mv | 2021-04-13T20:58:38Z |
| dc.date.embargoed.fl_str_mv | 2021-04-13T20:58:38Z |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | https://hdl.handle.net/1822/71662 |
| dc.language.none.fl_str_mv | eng |
| dc.publisher.none.fl_str_mv | Springer, Cham |
| dc.rights.none.fl_str_mv | http://purl.org/coar/access_right/c_abf2 |
| dc.subject.none.fl_str_mv | State observation Differential observation State-space controllers PID controllers Differential observation State-space controllers PID controllers |
| dc.title.fl_str_mv | Differential observation and integral action in LTI state-space controllers and the PID special case |
| dc.type.none.fl_str_mv | http://purl.org/coar/resource_type/c_5794 |
| description | This paper makes the case that practical differentiation of measured state variables may be seen as an observation or estimation scheme for linear time invariant state space controllers. It is shown that, although not having the separation property, the estimation error of this scheme converges to zero if the resulting closed loop system is strictly stable. On the basis of this concept, it is shown that PID controllers may be interpreted as a special case of state space controllers endowed with differential observation. The interesting consequences of this interpretation are discussed. |
| dirty | 0 |
| eu_rights_str_mv | openAccess |
| format | conferencePaper |
| fulltext.url.fl_str_mv | https://prod-dspace.uminho.pt/bitstreams/37a5bb2c-bfbc-4c36-a302-1b6a372020ab/download |
| id | rum_db8a5304b2ab5e641cfdfbebf5da73b9 |
| identifier.url.fl_str_mv | https://hdl.handle.net/1822/71662 |
| instacron_str | repositorium |
| institution | Universidade do Minho |
| instname_str | Universidade do Minho |
| language | eng |
| network_acronym_str | rum |
| network_name_str | RepositóriUM - Universidade do Minho |
| oai_identifier_str | oai:repositorium.uminho.pt:1822/71662 |
| organization_str_mv | urn:organizationAcronym:repositorium |
| person_str_mv | Garrido, Paulo |
| publishDate | 2020 |
| publisher.none.fl_str_mv | Springer, Cham |
| reponame_str | RepositóriUM - Universidade do Minho |
| repository_id_str | urn:repositoryAcronym:rum |
| service_str_mv | urn:repositoryAcronym:rum |
| spelling | engSpringer, ChamporThis paper makes the case that practical differentiation of measured state variables may be seen as an observation or estimation scheme for linear time invariant state space controllers. It is shown that, although not having the separation property, the estimation error of this scheme converges to zero if the resulting closed loop system is strictly stable. On the basis of this concept, it is shown that PID controllers may be interpreted as a special case of state space controllers endowed with differential observation. The interesting consequences of this interpretation are discussed.application/pdfporDifferential observation and integral action in LTI state-space controllers and the PID special caseGarrido, PauloHostingInstitutionOrganizationalUniversidade do Minhoe-mailmailto:repositorium@usdb.uminho.ptrepositorium@usdb.uminho.ptISBNIsPartOf978-3-030-58652-2DOIIsPartOf10.1007/978-3-030-58653-9_412021-04-13T20:58:38Z20202020-01-01T00:00:00ZHandlehttps://hdl.handle.net/1822/71662http://purl.org/coar/access_right/c_abf2open accessState observation Differential observation State-space controllers PID controllersDifferential observationState-space controllersPID controllers585074 bytesother research producthttp://purl.org/coar/resource_type/c_5794conference paperhttp://purl.org/coar/access_right/c_abf2application/pdffulltexthttps://prod-dspace.uminho.pt/bitstreams/37a5bb2c-bfbc-4c36-a302-1b6a372020ab/download |
| spellingShingle | Differential observation and integral action in LTI state-space controllers and the PID special case Garrido, Paulo State observation Differential observation State-space controllers PID controllers Differential observation State-space controllers PID controllers |
| status | SINGLETON |
| subject.fl_str_mv | State observation Differential observation State-space controllers PID controllers Differential observation State-space controllers PID controllers |
| title | Differential observation and integral action in LTI state-space controllers and the PID special case |
| title_full | Differential observation and integral action in LTI state-space controllers and the PID special case |
| title_fullStr | Differential observation and integral action in LTI state-space controllers and the PID special case |
| title_full_unstemmed | Differential observation and integral action in LTI state-space controllers and the PID special case |
| title_short | Differential observation and integral action in LTI state-space controllers and the PID special case |
| title_sort | Differential observation and integral action in LTI state-space controllers and the PID special case |
| topic | State observation Differential observation State-space controllers PID controllers Differential observation State-space controllers PID controllers |
| topic_facet | State observation Differential observation State-space controllers PID controllers Differential observation State-space controllers PID controllers |
| url | https://hdl.handle.net/1822/71662 |
| visible | 1 |