Time-optimal trajectories construction in problem for the double-integrator system with the terminal constraint of a sloped line segment type
We consider a time-optimal problem for the double integrator system. Our problem generalizes the classical one by introducing terminal (endpoint) block from two ineqaulities and one equality that define the line segment with parametrized slope. Using Maximum pronciple, we get all types of optimal tr...
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description | We consider a time-optimal problem for the double integrator system. Our problem generalizes the classical one by introducing terminal (endpoint) block from two ineqaulities and one equality that define the line segment with parametrized slope. Using Maximum pronciple, we get all types of optimal trajectories, construct optimal synthesis and provide its evolution analysis. This problem related also to motorized antenna movement either from current position to track segment or between two tracks (since we parametrize both of position and velocity) |
doi_str_mv | 10.1063/5.0107973 |
format | Conference Proceeding |
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Our problem generalizes the classical one by introducing terminal (endpoint) block from two ineqaulities and one equality that define the line segment with parametrized slope. Using Maximum pronciple, we get all types of optimal trajectories, construct optimal synthesis and provide its evolution analysis. This problem related also to motorized antenna movement either from current position to track segment or between two tracks (since we parametrize both of position and velocity)</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/5.0107973</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Double integrators ; Segments ; Terminal constraints ; Trajectory optimization</subject><ispartof>AIP Conference Proceedings, 2023, Vol.2549 (1)</ispartof><rights>Author(s)</rights><rights>2023 Author(s). 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Our problem generalizes the classical one by introducing terminal (endpoint) block from two ineqaulities and one equality that define the line segment with parametrized slope. Using Maximum pronciple, we get all types of optimal trajectories, construct optimal synthesis and provide its evolution analysis. This problem related also to motorized antenna movement either from current position to track segment or between two tracks (since we parametrize both of position and velocity)</description><subject>Double integrators</subject><subject>Segments</subject><subject>Terminal constraints</subject><subject>Trajectory optimization</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2023</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNotkE1LAzEQhoMoWKsH_0HAm7A12Ww2yVGKX1Dw0oO3JZ9tyu5mTVKkP8L_bGp7GoZ55mXmAeAeowVGLXmiC4QRE4xcgBmmFFesxe0lmCEkmqpuyNc1uElph1AtGOMz8Lv2g63ClP0ge5ij3FmdQ_Q2QR3GlONeZx9G6Ec4xaB6O0AXIsxbC03Yl77yY7abKMsSTIeUC_Dj8_afyDYOfiy5pyhZUBgclDD1YbIG9n60MNnNYMsgHyZ7C66c7JO9O9c5WL--rJfv1erz7WP5vKom0YpKKGWcEKY8YTSRhgvKFFVaOFwT1TikuVG1cIo6irh1jFnNFeaCIN0Kw8gcPJxiy0vfe5tytwv7WA5NXc0bhIioG16oxxOVtM_yaKGbYtEUDx1G3dF2R7uzbfIHxFN1tw</recordid><startdate>20230720</startdate><enddate>20230720</enddate><creator>Samylovskiy, Ivan</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20230720</creationdate><title>Time-optimal trajectories construction in problem for the double-integrator system with the terminal constraint of a sloped line segment type</title><author>Samylovskiy, Ivan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p969-9bbdf99d002dc3ad8957b5bc9f123b4f0c8db29fb5f508ef77ec8b18930c69d73</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Double integrators</topic><topic>Segments</topic><topic>Terminal constraints</topic><topic>Trajectory optimization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Samylovskiy, Ivan</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Samylovskiy, Ivan</au><au>Fedorov, Igor B</au><au>Soloviev, Vladimir A.</au><au>Rogozin, Dmitry O</au><au>Mayorova, Vera I</au><au>Aleksandrov, Anatoly A</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Time-optimal trajectories construction in problem for the double-integrator system with the terminal constraint of a sloped line segment type</atitle><btitle>AIP Conference Proceedings</btitle><date>2023-07-20</date><risdate>2023</risdate><volume>2549</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>We consider a time-optimal problem for the double integrator system. Our problem generalizes the classical one by introducing terminal (endpoint) block from two ineqaulities and one equality that define the line segment with parametrized slope. Using Maximum pronciple, we get all types of optimal trajectories, construct optimal synthesis and provide its evolution analysis. This problem related also to motorized antenna movement either from current position to track segment or between two tracks (since we parametrize both of position and velocity)</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0107973</doi><tpages>7</tpages></addata></record> |
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subjects | Double integrators Segments Terminal constraints Trajectory optimization |
title | Time-optimal trajectories construction in problem for the double-integrator system with the terminal constraint of a sloped line segment type |
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