Synthesis of time-optimal control by time interval adjustment
An iterative procedure for time-optimal control of linear plants with constrained control amplitudes is presented. It is assumed that the n th-order state-equation coefficient matrix has real eigenvalues, so that the time-optimal control is of the known bang-bang form with n switchings. The first st...
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Veröffentlicht in: | IEEE transactions on automatic control 1969-12, Vol.14 (6), p.707-710 |
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description | An iterative procedure for time-optimal control of linear plants with constrained control amplitudes is presented. It is assumed that the n th-order state-equation coefficient matrix has real eigenvalues, so that the time-optimal control is of the known bang-bang form with n switchings. The first step in the procedure is to arbitrarily choose n switching times (including the final time), and to calculate a precise constant control function which although not necessarily satisfying the amplitude constraints does bring the plant to the desired terminal state. In the following steps the switching times are systematically adjusted until the control function closely approximates the bang-bang form. The procedure is simple to implement, and experiments have shown fast convergence. |
doi_str_mv | 10.1109/TAC.1969.1099307 |
format | Article |
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It is assumed that the n th-order state-equation coefficient matrix has real eigenvalues, so that the time-optimal control is of the known bang-bang form with n switchings. The first step in the procedure is to arbitrarily choose n switching times (including the final time), and to calculate a precise constant control function which although not necessarily satisfying the amplitude constraints does bring the plant to the desired terminal state. In the following steps the switching times are systematically adjusted until the control function closely approximates the bang-bang form. The procedure is simple to implement, and experiments have shown fast convergence.</description><identifier>ISSN: 0018-9286</identifier><identifier>EISSN: 1558-2523</identifier><identifier>DOI: 10.1109/TAC.1969.1099307</identifier><identifier>CODEN: IETAA9</identifier><language>eng</language><publisher>IEEE</publisher><subject>Automatic control ; Bang-bang control ; Control system synthesis ; Control systems ; Controllability ; Convergence ; Eigenvalues and eigenfunctions ; Error correction ; MIMO ; Optimal control</subject><ispartof>IEEE transactions on automatic control, 1969-12, Vol.14 (6), p.707-710</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c323t-160e1df0bae4fb0e202d12ec792f4283fd3e662a5f30ca084af1ae0eebf7900e3</citedby><cites>FETCH-LOGICAL-c323t-160e1df0bae4fb0e202d12ec792f4283fd3e662a5f30ca084af1ae0eebf7900e3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/1099307$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>314,776,780,792,27903,27904,54736</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/1099307$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Yastreboff, M.</creatorcontrib><title>Synthesis of time-optimal control by time interval adjustment</title><title>IEEE transactions on automatic control</title><addtitle>TAC</addtitle><description>An iterative procedure for time-optimal control of linear plants with constrained control amplitudes is presented. It is assumed that the n th-order state-equation coefficient matrix has real eigenvalues, so that the time-optimal control is of the known bang-bang form with n switchings. The first step in the procedure is to arbitrarily choose n switching times (including the final time), and to calculate a precise constant control function which although not necessarily satisfying the amplitude constraints does bring the plant to the desired terminal state. In the following steps the switching times are systematically adjusted until the control function closely approximates the bang-bang form. The procedure is simple to implement, and experiments have shown fast convergence.</description><subject>Automatic control</subject><subject>Bang-bang control</subject><subject>Control system synthesis</subject><subject>Control systems</subject><subject>Controllability</subject><subject>Convergence</subject><subject>Eigenvalues and eigenfunctions</subject><subject>Error correction</subject><subject>MIMO</subject><subject>Optimal control</subject><issn>0018-9286</issn><issn>1558-2523</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1969</creationdate><recordtype>article</recordtype><recordid>eNqFkL1PwzAQxS0EEuVjR2LJxJZyZyduPDBUFV9SJQbKbDnJWaRK42K7SP3vcUkHNqbTu_feSfdj7AZhigjqfjVfTFFJNU1CCZidsAmWZZXzkotTNgHAKle8kufsIoR1krIocMIe3vdD_KTQhczZLHYbyt02DdNnjRuid31W73_3WTdE8t_JMO16F-KGhnjFzqzpA10f5yX7eHpcLV7y5dvz62K-zBvBRcxRAmFroTZU2BqIA2-RUzNT3Ba8ErYVJCU3pRXQGKgKY9EQENV2pgBIXLK78e7Wu68dhag3XWio781Abhc0V1CWAOr_YCWLBAdTEMZg410Inqze-vS132sEfQCqE1B9AKqPQFPldqx0RPQnPro_bX9yFg</recordid><startdate>19691201</startdate><enddate>19691201</enddate><creator>Yastreboff, M.</creator><general>IEEE</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>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>H8D</scope></search><sort><creationdate>19691201</creationdate><title>Synthesis of time-optimal control by time interval adjustment</title><author>Yastreboff, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c323t-160e1df0bae4fb0e202d12ec792f4283fd3e662a5f30ca084af1ae0eebf7900e3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1969</creationdate><topic>Automatic control</topic><topic>Bang-bang control</topic><topic>Control system synthesis</topic><topic>Control systems</topic><topic>Controllability</topic><topic>Convergence</topic><topic>Eigenvalues and eigenfunctions</topic><topic>Error correction</topic><topic>MIMO</topic><topic>Optimal control</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yastreboff, M.</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>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Aerospace Database</collection><jtitle>IEEE transactions on automatic control</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Yastreboff, M.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Synthesis of time-optimal control by time interval adjustment</atitle><jtitle>IEEE transactions on automatic control</jtitle><stitle>TAC</stitle><date>1969-12-01</date><risdate>1969</risdate><volume>14</volume><issue>6</issue><spage>707</spage><epage>710</epage><pages>707-710</pages><issn>0018-9286</issn><eissn>1558-2523</eissn><coden>IETAA9</coden><abstract>An iterative procedure for time-optimal control of linear plants with constrained control amplitudes is presented. It is assumed that the n th-order state-equation coefficient matrix has real eigenvalues, so that the time-optimal control is of the known bang-bang form with n switchings. The first step in the procedure is to arbitrarily choose n switching times (including the final time), and to calculate a precise constant control function which although not necessarily satisfying the amplitude constraints does bring the plant to the desired terminal state. In the following steps the switching times are systematically adjusted until the control function closely approximates the bang-bang form. The procedure is simple to implement, and experiments have shown fast convergence.</abstract><pub>IEEE</pub><doi>10.1109/TAC.1969.1099307</doi><tpages>4</tpages></addata></record> |
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subjects | Automatic control Bang-bang control Control system synthesis Control systems Controllability Convergence Eigenvalues and eigenfunctions Error correction MIMO Optimal control |
title | Synthesis of time-optimal control by time interval adjustment |
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