Optimal synthesis in the Reeds and Shepp problem with a free final direction
We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a free final direction of velocity. Using Pontryagin maximum principle, we obtain all types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.
Gespeichert in:
| Veröffentlicht in: | Journal of dynamical and control systems 2013-07, Vol.19 (3), p.309-325 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 325 |
|---|---|
| container_issue | 3 |
| container_start_page | 309 |
| container_title | Journal of dynamical and control systems |
| container_volume | 19 |
| creator | Dmitruk, A. V. Samylovskiy, I. A. |
| description | We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a free final direction of velocity. Using Pontryagin maximum principle, we obtain all types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis. |
| doi_str_mv | 10.1007/s10883-013-9180-9 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1429854119</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1429854119</sourcerecordid><originalsourceid>FETCH-LOGICAL-c321t-ab4b73692ca4c0d77a74d1269b186666222e0c9df54c838592ce46530f826f563</originalsourceid><addsrcrecordid>eNp9kEtPwzAQhC0EEqXwA7j5yMXgV2L7iCpeUqVKPM6W46ypqzQJdirEv8dVOLOXncPMaudD6JrRW0apusuMai0IZYIYpikxJ2jBKiWIro0-LZoqQ7ji8hxd5LyjlBot9AKtN-MU967D-aeftpBjxrHHReFXgDZj17f4bQvjiMc0NB3s8XecttjhkABwiH2JtjGBn-LQX6Kz4LoMV397iT4eH95Xz2S9eXpZ3a-JF5xNxDWyUaI23DvpaauUU7JlvDYN03UZzjlQb9pQSV-erIoRZF0JGjSvQ1WLJbqZ75afvg6QJ7uP2UPXuR6GQ7ZMcqMryZgpVjZbfRpyThDsmErf9GMZtUdydiZnCzl7JGePGT5ncvH2n5Dsbjik0jT_E_oFRepvpA</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1429854119</pqid></control><display><type>article</type><title>Optimal synthesis in the Reeds and Shepp problem with a free final direction</title><source>SpringerLink Journals - AutoHoldings</source><creator>Dmitruk, A. V. ; Samylovskiy, I. A.</creator><creatorcontrib>Dmitruk, A. V. ; Samylovskiy, I. A.</creatorcontrib><description>We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a free final direction of velocity. Using Pontryagin maximum principle, we obtain all types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.</description><identifier>ISSN: 1079-2724</identifier><identifier>EISSN: 1573-8698</identifier><identifier>DOI: 10.1007/s10883-013-9180-9</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>Calculus of Variations and Optimal Control; Optimization ; Construction ; Control ; Control systems ; Dynamical Systems ; Dynamical Systems and Ergodic Theory ; Mathematical models ; Mathematics ; Mathematics and Statistics ; Maximum principle ; Optimization ; Planes ; Reeds ; Synthesis ; Systems Theory ; Vibration</subject><ispartof>Journal of dynamical and control systems, 2013-07, Vol.19 (3), p.309-325</ispartof><rights>Springer Science+Business Media New York 2013</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c321t-ab4b73692ca4c0d77a74d1269b186666222e0c9df54c838592ce46530f826f563</citedby><cites>FETCH-LOGICAL-c321t-ab4b73692ca4c0d77a74d1269b186666222e0c9df54c838592ce46530f826f563</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10883-013-9180-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10883-013-9180-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Dmitruk, A. V.</creatorcontrib><creatorcontrib>Samylovskiy, I. A.</creatorcontrib><title>Optimal synthesis in the Reeds and Shepp problem with a free final direction</title><title>Journal of dynamical and control systems</title><addtitle>J Dyn Control Syst</addtitle><description>We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a free final direction of velocity. Using Pontryagin maximum principle, we obtain all types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.</description><subject>Calculus of Variations and Optimal Control; Optimization</subject><subject>Construction</subject><subject>Control</subject><subject>Control systems</subject><subject>Dynamical Systems</subject><subject>Dynamical Systems and Ergodic Theory</subject><subject>Mathematical models</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Maximum principle</subject><subject>Optimization</subject><subject>Planes</subject><subject>Reeds</subject><subject>Synthesis</subject><subject>Systems Theory</subject><subject>Vibration</subject><issn>1079-2724</issn><issn>1573-8698</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kEtPwzAQhC0EEqXwA7j5yMXgV2L7iCpeUqVKPM6W46ypqzQJdirEv8dVOLOXncPMaudD6JrRW0apusuMai0IZYIYpikxJ2jBKiWIro0-LZoqQ7ji8hxd5LyjlBot9AKtN-MU967D-aeftpBjxrHHReFXgDZj17f4bQvjiMc0NB3s8XecttjhkABwiH2JtjGBn-LQX6Kz4LoMV397iT4eH95Xz2S9eXpZ3a-JF5xNxDWyUaI23DvpaauUU7JlvDYN03UZzjlQb9pQSV-erIoRZF0JGjSvQ1WLJbqZ75afvg6QJ7uP2UPXuR6GQ7ZMcqMryZgpVjZbfRpyThDsmErf9GMZtUdydiZnCzl7JGePGT5ncvH2n5Dsbjik0jT_E_oFRepvpA</recordid><startdate>20130701</startdate><enddate>20130701</enddate><creator>Dmitruk, A. V.</creator><creator>Samylovskiy, I. A.</creator><general>Springer US</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20130701</creationdate><title>Optimal synthesis in the Reeds and Shepp problem with a free final direction</title><author>Dmitruk, A. V. ; Samylovskiy, I. A.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c321t-ab4b73692ca4c0d77a74d1269b186666222e0c9df54c838592ce46530f826f563</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Calculus of Variations and Optimal Control; Optimization</topic><topic>Construction</topic><topic>Control</topic><topic>Control systems</topic><topic>Dynamical Systems</topic><topic>Dynamical Systems and Ergodic Theory</topic><topic>Mathematical models</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Maximum principle</topic><topic>Optimization</topic><topic>Planes</topic><topic>Reeds</topic><topic>Synthesis</topic><topic>Systems Theory</topic><topic>Vibration</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dmitruk, A. V.</creatorcontrib><creatorcontrib>Samylovskiy, I. A.</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of dynamical and control systems</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dmitruk, A. V.</au><au>Samylovskiy, I. A.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Optimal synthesis in the Reeds and Shepp problem with a free final direction</atitle><jtitle>Journal of dynamical and control systems</jtitle><stitle>J Dyn Control Syst</stitle><date>2013-07-01</date><risdate>2013</risdate><volume>19</volume><issue>3</issue><spage>309</spage><epage>325</epage><pages>309-325</pages><issn>1079-2724</issn><eissn>1573-8698</eissn><abstract>We consider a time-optimal problem for the Reeds and Shepp model describing a moving point on a plane, with a free final direction of velocity. Using Pontryagin maximum principle, we obtain all types of extremals and, analyzing them and discarding nonoptimal ones, construct the optimal synthesis.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1007/s10883-013-9180-9</doi><tpages>17</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1079-2724 |
| ispartof | Journal of dynamical and control systems, 2013-07, Vol.19 (3), p.309-325 |
| issn | 1079-2724 1573-8698 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_1429854119 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Calculus of Variations and Optimal Control Optimization Construction Control Control systems Dynamical Systems Dynamical Systems and Ergodic Theory Mathematical models Mathematics Mathematics and Statistics Maximum principle Optimization Planes Reeds Synthesis Systems Theory Vibration |
| title | Optimal synthesis in the Reeds and Shepp problem with a free final direction |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-24T07%3A49%3A03IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Optimal%20synthesis%20in%20the%20Reeds%20and%20Shepp%20problem%20with%20a%20free%20final%20direction&rft.jtitle=Journal%20of%20dynamical%20and%20control%20systems&rft.au=Dmitruk,%20A.%20V.&rft.date=2013-07-01&rft.volume=19&rft.issue=3&rft.spage=309&rft.epage=325&rft.pages=309-325&rft.issn=1079-2724&rft.eissn=1573-8698&rft_id=info:doi/10.1007/s10883-013-9180-9&rft_dat=%3Cproquest_cross%3E1429854119%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=1429854119&rft_id=info:pmid/&rfr_iscdi=true |