A Note on Observers for Discrete-Time Lipschitz Nonlinear Systems
This brief considers observer design for a class of discrete-time nonlinear systems with Lipschitz nonlinearities. We first remark some statements and results in a recent brief by Zemouche and Boutayeb. In particular, we show that their results are more conservative than an existing one, rather than...
Gespeichert in:
| Veröffentlicht in: | IEEE transactions on circuits and systems. II, Express briefs Express briefs, 2012-02, Vol.59 (2), p.123-127 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 127 |
|---|---|
| container_issue | 2 |
| container_start_page | 123 |
| container_title | IEEE transactions on circuits and systems. II, Express briefs |
| container_volume | 59 |
| creator | Zhang, Wei Su, Housheng Zhu, Fanglai Yue, Dong |
| description | This brief considers observer design for a class of discrete-time nonlinear systems with Lipschitz nonlinearities. We first remark some statements and results in a recent brief by Zemouche and Boutayeb. In particular, we show that their results are more conservative than an existing one, rather than less conservative as claimed. Moreover, most of the existing results are only applicable to some particular classes of Lipschitz systems with a Lipschitz constant less than one. In order to obtain less conservative results, the concept of a one-sided Lipschitz condition, which is an extension of its well-known Lipschitz counterpart, is introduced. Sufficient conditions ensuring the existence of state observers for one-sided Lipschitz nonlinear systems are then presented. A numerical example is included to illustrate the advantages and effectiveness of the proposed design. |
| doi_str_mv | 10.1109/TCSII.2011.2174671 |
| format | Article |
| fullrecord | <record><control><sourceid>crossref_RIE</sourceid><recordid>TN_cdi_ieee_primary_6082413</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><ieee_id>6082413</ieee_id><sourcerecordid>10_1109_TCSII_2011_2174671</sourcerecordid><originalsourceid>FETCH-LOGICAL-c267t-d7254359b6e79b542f7c9d37ab6939fdcb2e07da339459b76bd29fd79b3311353</originalsourceid><addsrcrecordid>eNo9kE1Lw0AQQBdRsFb_gF72DyTu7Gwy3WOIX4FiD63nkI8JrrRJ2Q1C_fWmtniaYXhvDk-Ie1AxgLKPm3xdFLFWALEGMinBhZhBkiwiJAuXx93YiMjQtbgJ4UspbRXqmcgy-T6MLIderurA_pt9kN3g5ZMLjeeRo43bsVy6fWg-3fgz0f3W9Vx5uT6EkXfhVlx11Tbw3XnOxcfL8yZ_i5ar1yLPllGjUxqjlnRiMLF1ymTrxOiOGtsiVXVq0XZtU2tW1FaI1kwUpXWrp_PEIgJggnOhT38bP4TguSv33u0qfyhBlccI5V-E8hihPEeYpIeT5Jj5X0jVQhtA_AUFeFgj</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>A Note on Observers for Discrete-Time Lipschitz Nonlinear Systems</title><source>IEEE Electronic Library (IEL)</source><creator>Zhang, Wei ; Su, Housheng ; Zhu, Fanglai ; Yue, Dong</creator><creatorcontrib>Zhang, Wei ; Su, Housheng ; Zhu, Fanglai ; Yue, Dong</creatorcontrib><description>This brief considers observer design for a class of discrete-time nonlinear systems with Lipschitz nonlinearities. We first remark some statements and results in a recent brief by Zemouche and Boutayeb. In particular, we show that their results are more conservative than an existing one, rather than less conservative as claimed. Moreover, most of the existing results are only applicable to some particular classes of Lipschitz systems with a Lipschitz constant less than one. In order to obtain less conservative results, the concept of a one-sided Lipschitz condition, which is an extension of its well-known Lipschitz counterpart, is introduced. Sufficient conditions ensuring the existence of state observers for one-sided Lipschitz nonlinear systems are then presented. A numerical example is included to illustrate the advantages and effectiveness of the proposed design.</description><identifier>ISSN: 1549-7747</identifier><identifier>EISSN: 1558-3791</identifier><identifier>DOI: 10.1109/TCSII.2011.2174671</identifier><identifier>CODEN: ICSPE5</identifier><language>eng</language><publisher>IEEE</publisher><subject>Discrete-time nonlinear systems ; Educational institutions ; Linear matrix inequalities ; linear matrix inequality (LMI) ; Lyapunov methods ; Lyapunov stability ; Nonlinear systems ; observer design ; Observers ; one-sided Lipschitz condition ; Symmetric matrices ; Synchronization</subject><ispartof>IEEE transactions on circuits and systems. II, Express briefs, 2012-02, Vol.59 (2), p.123-127</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c267t-d7254359b6e79b542f7c9d37ab6939fdcb2e07da339459b76bd29fd79b3311353</citedby><cites>FETCH-LOGICAL-c267t-d7254359b6e79b542f7c9d37ab6939fdcb2e07da339459b76bd29fd79b3311353</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6082413$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,780,784,796,27924,27925,54758</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6082413$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Zhang, Wei</creatorcontrib><creatorcontrib>Su, Housheng</creatorcontrib><creatorcontrib>Zhu, Fanglai</creatorcontrib><creatorcontrib>Yue, Dong</creatorcontrib><title>A Note on Observers for Discrete-Time Lipschitz Nonlinear Systems</title><title>IEEE transactions on circuits and systems. II, Express briefs</title><addtitle>TCSII</addtitle><description>This brief considers observer design for a class of discrete-time nonlinear systems with Lipschitz nonlinearities. We first remark some statements and results in a recent brief by Zemouche and Boutayeb. In particular, we show that their results are more conservative than an existing one, rather than less conservative as claimed. Moreover, most of the existing results are only applicable to some particular classes of Lipschitz systems with a Lipschitz constant less than one. In order to obtain less conservative results, the concept of a one-sided Lipschitz condition, which is an extension of its well-known Lipschitz counterpart, is introduced. Sufficient conditions ensuring the existence of state observers for one-sided Lipschitz nonlinear systems are then presented. A numerical example is included to illustrate the advantages and effectiveness of the proposed design.</description><subject>Discrete-time nonlinear systems</subject><subject>Educational institutions</subject><subject>Linear matrix inequalities</subject><subject>linear matrix inequality (LMI)</subject><subject>Lyapunov methods</subject><subject>Lyapunov stability</subject><subject>Nonlinear systems</subject><subject>observer design</subject><subject>Observers</subject><subject>one-sided Lipschitz condition</subject><subject>Symmetric matrices</subject><subject>Synchronization</subject><issn>1549-7747</issn><issn>1558-3791</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNo9kE1Lw0AQQBdRsFb_gF72DyTu7Gwy3WOIX4FiD63nkI8JrrRJ2Q1C_fWmtniaYXhvDk-Ie1AxgLKPm3xdFLFWALEGMinBhZhBkiwiJAuXx93YiMjQtbgJ4UspbRXqmcgy-T6MLIderurA_pt9kN3g5ZMLjeeRo43bsVy6fWg-3fgz0f3W9Vx5uT6EkXfhVlx11Tbw3XnOxcfL8yZ_i5ar1yLPllGjUxqjlnRiMLF1ymTrxOiOGtsiVXVq0XZtU2tW1FaI1kwUpXWrp_PEIgJggnOhT38bP4TguSv33u0qfyhBlccI5V-E8hihPEeYpIeT5Jj5X0jVQhtA_AUFeFgj</recordid><startdate>201202</startdate><enddate>201202</enddate><creator>Zhang, Wei</creator><creator>Su, Housheng</creator><creator>Zhu, Fanglai</creator><creator>Yue, Dong</creator><general>IEEE</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>201202</creationdate><title>A Note on Observers for Discrete-Time Lipschitz Nonlinear Systems</title><author>Zhang, Wei ; Su, Housheng ; Zhu, Fanglai ; Yue, Dong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c267t-d7254359b6e79b542f7c9d37ab6939fdcb2e07da339459b76bd29fd79b3311353</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Discrete-time nonlinear systems</topic><topic>Educational institutions</topic><topic>Linear matrix inequalities</topic><topic>linear matrix inequality (LMI)</topic><topic>Lyapunov methods</topic><topic>Lyapunov stability</topic><topic>Nonlinear systems</topic><topic>observer design</topic><topic>Observers</topic><topic>one-sided Lipschitz condition</topic><topic>Symmetric matrices</topic><topic>Synchronization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhang, Wei</creatorcontrib><creatorcontrib>Su, Housheng</creatorcontrib><creatorcontrib>Zhu, Fanglai</creatorcontrib><creatorcontrib>Yue, Dong</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><jtitle>IEEE transactions on circuits and systems. II, Express briefs</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Zhang, Wei</au><au>Su, Housheng</au><au>Zhu, Fanglai</au><au>Yue, Dong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Note on Observers for Discrete-Time Lipschitz Nonlinear Systems</atitle><jtitle>IEEE transactions on circuits and systems. II, Express briefs</jtitle><stitle>TCSII</stitle><date>2012-02</date><risdate>2012</risdate><volume>59</volume><issue>2</issue><spage>123</spage><epage>127</epage><pages>123-127</pages><issn>1549-7747</issn><eissn>1558-3791</eissn><coden>ICSPE5</coden><abstract>This brief considers observer design for a class of discrete-time nonlinear systems with Lipschitz nonlinearities. We first remark some statements and results in a recent brief by Zemouche and Boutayeb. In particular, we show that their results are more conservative than an existing one, rather than less conservative as claimed. Moreover, most of the existing results are only applicable to some particular classes of Lipschitz systems with a Lipschitz constant less than one. In order to obtain less conservative results, the concept of a one-sided Lipschitz condition, which is an extension of its well-known Lipschitz counterpart, is introduced. Sufficient conditions ensuring the existence of state observers for one-sided Lipschitz nonlinear systems are then presented. A numerical example is included to illustrate the advantages and effectiveness of the proposed design.</abstract><pub>IEEE</pub><doi>10.1109/TCSII.2011.2174671</doi><tpages>5</tpages></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | ISSN: 1549-7747 |
| ispartof | IEEE transactions on circuits and systems. II, Express briefs, 2012-02, Vol.59 (2), p.123-127 |
| issn | 1549-7747 1558-3791 |
| language | eng |
| recordid | cdi_ieee_primary_6082413 |
| source | IEEE Electronic Library (IEL) |
| subjects | Discrete-time nonlinear systems Educational institutions Linear matrix inequalities linear matrix inequality (LMI) Lyapunov methods Lyapunov stability Nonlinear systems observer design Observers one-sided Lipschitz condition Symmetric matrices Synchronization |
| title | A Note on Observers for Discrete-Time Lipschitz Nonlinear Systems |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-27T20%3A09%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_RIE&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=A%20Note%20on%20Observers%20for%20Discrete-Time%20Lipschitz%20Nonlinear%20Systems&rft.jtitle=IEEE%20transactions%20on%20circuits%20and%20systems.%20II,%20Express%20briefs&rft.au=Zhang,%20Wei&rft.date=2012-02&rft.volume=59&rft.issue=2&rft.spage=123&rft.epage=127&rft.pages=123-127&rft.issn=1549-7747&rft.eissn=1558-3791&rft.coden=ICSPE5&rft_id=info:doi/10.1109/TCSII.2011.2174671&rft_dat=%3Ccrossref_RIE%3E10_1109_TCSII_2011_2174671%3C/crossref_RIE%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_ieee_id=6082413&rfr_iscdi=true |