Linearization by generalized input-output injection
The problem under interest is the linearization of nonlinear MIMO systems by generalized input-output injection in order to design observers with linear error dynamics. The method is based on the study of the structure of the input-output differential equations; thus, the problem is solved as a real...
Gespeichert in:
| Veröffentlicht in: | Systems & control letters 1997, Vol.31 (2), p.115-128 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 128 |
|---|---|
| container_issue | 2 |
| container_start_page | 115 |
| container_title | Systems & control letters |
| container_volume | 31 |
| creator | Plestan, F. Glumineau, A. |
| description | The problem under interest is the linearization of nonlinear MIMO systems by generalized input-output injection in order to design observers with linear error dynamics. The method is based on the study of the structure of the input-output differential equations; thus, the problem is solved as a realization problem. In this note, one considers the linearization under two kinds of inout-output injection. In the first case, the transformation depends on the output and time derivatives of the input, whereas in the second case, derivatives of both the input and the output are considered. Necessary and sufficient conditions are obtained which generalize the ones on standard input-output injection linearization. |
| doi_str_mv | 10.1016/S0167-6911(97)00025-X |
| format | Article |
| fullrecord | <record><control><sourceid>hal_cross</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_01104495v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><els_id>S016769119700025X</els_id><sourcerecordid>oai_HAL_hal_01104495v1</sourcerecordid><originalsourceid>FETCH-LOGICAL-c370t-677292250b8068206dab9eee4633d12937df05843ee4de91813b48e3772152b63</originalsourceid><addsrcrecordid>eNqFkEFLwzAUx4MoOKcfQdjBgx6qeUmTNCcZQ51Q8KDCbiFtXzVjtiPpBtunN11lVy955PH75738CLkGeg8U5MN7PFQiNcCtVneUUiaSxQkZQaZYorSQp2R0RM7JRQjLHqKcjwjPXYPWu73tXNtMit3kCxv0duX2WE1cs950SbvpYomXJZY9dUnOarsKePVXx-Tz-eljNk_yt5fX2TRPSq5ol0ilmGZM0CKjMmNUVrbQiJhKzitgmquqpiJLeWxVqCEDXqQZ8hgDwQrJx-RuePfbrszaux_rd6a1zsynuel7FICmqRZbiKwY2NK3IXisjwGgprdkDpZMr8BoZQ6WzCLmbobc2obSrmpvm9KFY5jFXSiIiD0OGMb_bh16E0qHTYmV81GKqVr3z6BftxZ5tQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Linearization by generalized input-output injection</title><source>ScienceDirect Journals (5 years ago - present)</source><creator>Plestan, F. ; Glumineau, A.</creator><creatorcontrib>Plestan, F. ; Glumineau, A.</creatorcontrib><description>The problem under interest is the linearization of nonlinear MIMO systems by generalized input-output injection in order to design observers with linear error dynamics. The method is based on the study of the structure of the input-output differential equations; thus, the problem is solved as a realization problem. In this note, one considers the linearization under two kinds of inout-output injection. In the first case, the transformation depends on the output and time derivatives of the input, whereas in the second case, derivatives of both the input and the output are considered. Necessary and sufficient conditions are obtained which generalize the ones on standard input-output injection linearization.</description><identifier>ISSN: 0167-6911</identifier><identifier>EISSN: 1872-7956</identifier><identifier>DOI: 10.1016/S0167-6911(97)00025-X</identifier><identifier>CODEN: SCLEDC</identifier><language>eng</language><publisher>Amsterdam: Elsevier B.V</publisher><subject>Applied sciences ; Automatic ; Computer science; control theory; systems ; Control system synthesis ; Control theory. Systems ; Engineering Sciences ; Exact sciences and technology ; Exterior differentiation ; Generalized state transformation ; Input-output injection ; Nonlinear systems</subject><ispartof>Systems & control letters, 1997, Vol.31 (2), p.115-128</ispartof><rights>1997</rights><rights>1997 INIST-CNRS</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c370t-677292250b8068206dab9eee4633d12937df05843ee4de91813b48e3772152b63</citedby><cites>FETCH-LOGICAL-c370t-677292250b8068206dab9eee4633d12937df05843ee4de91813b48e3772152b63</cites><orcidid>0000-0001-8971-5106</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/S0167-6911(97)00025-X$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>230,314,780,784,885,3548,4022,27922,27923,27924,45994</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=2721015$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://hal.science/hal-01104495$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Plestan, F.</creatorcontrib><creatorcontrib>Glumineau, A.</creatorcontrib><title>Linearization by generalized input-output injection</title><title>Systems & control letters</title><description>The problem under interest is the linearization of nonlinear MIMO systems by generalized input-output injection in order to design observers with linear error dynamics. The method is based on the study of the structure of the input-output differential equations; thus, the problem is solved as a realization problem. In this note, one considers the linearization under two kinds of inout-output injection. In the first case, the transformation depends on the output and time derivatives of the input, whereas in the second case, derivatives of both the input and the output are considered. Necessary and sufficient conditions are obtained which generalize the ones on standard input-output injection linearization.</description><subject>Applied sciences</subject><subject>Automatic</subject><subject>Computer science; control theory; systems</subject><subject>Control system synthesis</subject><subject>Control theory. Systems</subject><subject>Engineering Sciences</subject><subject>Exact sciences and technology</subject><subject>Exterior differentiation</subject><subject>Generalized state transformation</subject><subject>Input-output injection</subject><subject>Nonlinear systems</subject><issn>0167-6911</issn><issn>1872-7956</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><recordid>eNqFkEFLwzAUx4MoOKcfQdjBgx6qeUmTNCcZQ51Q8KDCbiFtXzVjtiPpBtunN11lVy955PH75738CLkGeg8U5MN7PFQiNcCtVneUUiaSxQkZQaZYorSQp2R0RM7JRQjLHqKcjwjPXYPWu73tXNtMit3kCxv0duX2WE1cs950SbvpYomXJZY9dUnOarsKePVXx-Tz-eljNk_yt5fX2TRPSq5ol0ilmGZM0CKjMmNUVrbQiJhKzitgmquqpiJLeWxVqCEDXqQZ8hgDwQrJx-RuePfbrszaux_rd6a1zsynuel7FICmqRZbiKwY2NK3IXisjwGgprdkDpZMr8BoZQ6WzCLmbobc2obSrmpvm9KFY5jFXSiIiD0OGMb_bh16E0qHTYmV81GKqVr3z6BftxZ5tQ</recordid><startdate>1997</startdate><enddate>1997</enddate><creator>Plestan, F.</creator><creator>Glumineau, A.</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0001-8971-5106</orcidid></search><sort><creationdate>1997</creationdate><title>Linearization by generalized input-output injection</title><author>Plestan, F. ; Glumineau, A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c370t-677292250b8068206dab9eee4633d12937df05843ee4de91813b48e3772152b63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Applied sciences</topic><topic>Automatic</topic><topic>Computer science; control theory; systems</topic><topic>Control system synthesis</topic><topic>Control theory. Systems</topic><topic>Engineering Sciences</topic><topic>Exact sciences and technology</topic><topic>Exterior differentiation</topic><topic>Generalized state transformation</topic><topic>Input-output injection</topic><topic>Nonlinear systems</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Plestan, F.</creatorcontrib><creatorcontrib>Glumineau, A.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Systems & control letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Plestan, F.</au><au>Glumineau, A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Linearization by generalized input-output injection</atitle><jtitle>Systems & control letters</jtitle><date>1997</date><risdate>1997</risdate><volume>31</volume><issue>2</issue><spage>115</spage><epage>128</epage><pages>115-128</pages><issn>0167-6911</issn><eissn>1872-7956</eissn><coden>SCLEDC</coden><abstract>The problem under interest is the linearization of nonlinear MIMO systems by generalized input-output injection in order to design observers with linear error dynamics. The method is based on the study of the structure of the input-output differential equations; thus, the problem is solved as a realization problem. In this note, one considers the linearization under two kinds of inout-output injection. In the first case, the transformation depends on the output and time derivatives of the input, whereas in the second case, derivatives of both the input and the output are considered. Necessary and sufficient conditions are obtained which generalize the ones on standard input-output injection linearization.</abstract><cop>Amsterdam</cop><pub>Elsevier B.V</pub><doi>10.1016/S0167-6911(97)00025-X</doi><tpages>14</tpages><orcidid>https://orcid.org/0000-0001-8971-5106</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0167-6911 |
| ispartof | Systems & control letters, 1997, Vol.31 (2), p.115-128 |
| issn | 0167-6911 1872-7956 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_01104495v1 |
| source | ScienceDirect Journals (5 years ago - present) |
| subjects | Applied sciences Automatic Computer science control theory systems Control system synthesis Control theory. Systems Engineering Sciences Exact sciences and technology Exterior differentiation Generalized state transformation Input-output injection Nonlinear systems |
| title | Linearization by generalized input-output injection |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-12T05%3A19%3A58IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-hal_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Linearization%20by%20generalized%20input-output%20injection&rft.jtitle=Systems%20&%20control%20letters&rft.au=Plestan,%20F.&rft.date=1997&rft.volume=31&rft.issue=2&rft.spage=115&rft.epage=128&rft.pages=115-128&rft.issn=0167-6911&rft.eissn=1872-7956&rft.coden=SCLEDC&rft_id=info:doi/10.1016/S0167-6911(97)00025-X&rft_dat=%3Chal_cross%3Eoai_HAL_hal_01104495v1%3C/hal_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_els_id=S016769119700025X&rfr_iscdi=true |