Design of Radio Frequency Acceleration System for Ion Synchrotron Based on Theory of Linear Quadratic Problem
This report describes an optimal control system design of a radio frequency acceleration for an ion synchrotron. The theory of linear quadratic prdblem (LQP) is applied to minimize the deviation (ΔR) of the ion beam from the central orbit. Chapter II explains the formulation of LQP, with which the f...
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Veröffentlicht in: | Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan 1991/08/30, Vol.33(8), pp.792-796 |
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description | This report describes an optimal control system design of a radio frequency acceleration for an ion synchrotron. The theory of linear quadratic prdblem (LQP) is applied to minimize the deviation (ΔR) of the ion beam from the central orbit. Chapter II explains the formulation of LQP, with which the feedback gains are calculated. The solution also shows that the principal (ΔR) and the subsidiary (Δφ: longitudinal oscillation of beam) controllers are of PI (proportional+integral terms)-type and P-type, respectively. Chapter III presents discussions taking into account the noises superposed on ΔR and Δφ feedback signals. The noise reduction filters necessarily included in the detecting circuitries produce phase lags in the loops and may deteriorate the damping of the longitudinal oscillation. The effects are examined by simulations. Moreover, applying the stochastic control theory, dispersion of ΔR due to white noises is evaluated. Appropriate control parameters are settled as a compromise between quick responsiveness and noise-insensitiveness. The design method described here shows the complementary charaeter to the classical apploach. |
doi_str_mv | 10.3327/jaesj.33.792 |
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The theory of linear quadratic prdblem (LQP) is applied to minimize the deviation (ΔR) of the ion beam from the central orbit. Chapter II explains the formulation of LQP, with which the feedback gains are calculated. The solution also shows that the principal (ΔR) and the subsidiary (Δφ: longitudinal oscillation of beam) controllers are of PI (proportional+integral terms)-type and P-type, respectively. Chapter III presents discussions taking into account the noises superposed on ΔR and Δφ feedback signals. The noise reduction filters necessarily included in the detecting circuitries produce phase lags in the loops and may deteriorate the damping of the longitudinal oscillation. The effects are examined by simulations. Moreover, applying the stochastic control theory, dispersion of ΔR due to white noises is evaluated. Appropriate control parameters are settled as a compromise between quick responsiveness and noise-insensitiveness. The design method described here shows the complementary charaeter to the classical apploach.</description><identifier>ISSN: 0004-7120</identifier><identifier>EISSN: 2186-5256</identifier><identifier>DOI: 10.3327/jaesj.33.792</identifier><language>eng ; jpn</language><publisher>Atomic Energy Society of Japan</publisher><subject>control parameter ; deviation ; ion beams ; ion synchrotron ; linear quadratic problem ; longitudinal oscillation ; noise reduction filter ; optimal control system design ; radiofrequency acceleration ; stochastic control theory</subject><ispartof>Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan, 1991/08/30, Vol.33(8), pp.792-796</ispartof><rights>by the Atomic Energy Society of Japan</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,1876,27903,27904</link.rule.ids></links><search><creatorcontrib>YAMAGISHI, Toshio</creatorcontrib><title>Design of Radio Frequency Acceleration System for Ion Synchrotron Based on Theory of Linear Quadratic Problem</title><title>Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan</title><addtitle>Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan</addtitle><description>This report describes an optimal control system design of a radio frequency acceleration for an ion synchrotron. The theory of linear quadratic prdblem (LQP) is applied to minimize the deviation (ΔR) of the ion beam from the central orbit. Chapter II explains the formulation of LQP, with which the feedback gains are calculated. The solution also shows that the principal (ΔR) and the subsidiary (Δφ: longitudinal oscillation of beam) controllers are of PI (proportional+integral terms)-type and P-type, respectively. Chapter III presents discussions taking into account the noises superposed on ΔR and Δφ feedback signals. The noise reduction filters necessarily included in the detecting circuitries produce phase lags in the loops and may deteriorate the damping of the longitudinal oscillation. The effects are examined by simulations. Moreover, applying the stochastic control theory, dispersion of ΔR due to white noises is evaluated. Appropriate control parameters are settled as a compromise between quick responsiveness and noise-insensitiveness. The design method described here shows the complementary charaeter to the classical apploach.</description><subject>control parameter</subject><subject>deviation</subject><subject>ion beams</subject><subject>ion synchrotron</subject><subject>linear quadratic problem</subject><subject>longitudinal oscillation</subject><subject>noise reduction filter</subject><subject>optimal control system design</subject><subject>radiofrequency acceleration</subject><subject>stochastic control theory</subject><issn>0004-7120</issn><issn>2186-5256</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1991</creationdate><recordtype>article</recordtype><recordid>eNo9kMtOwzAQRS0EElXpjg_wB5DiV-JkWUoLlSrxKuvIccZtqiQGO13k73Ea1M3MGc29o9FF6J6SOedMPh4V-GPAuczYFZowmiZRzOLkGk0IISKSlJFbNPO-KghhsaSUpBPUPIOv9i22Bn-qsrJ47eD3BK3u8UJrqMGprrIt_up9Bw021uHNeWz1wdnOBX5SHkocYHcA6_rh1LZqQTn8cVLl4Nf43dmihuYO3RhVe5j99yn6Xq92y9do-_ayWS62keZCdhFkpJQGCDBJE51AGpe6KClnwpCSU60oz9JE6EKIlDJZqETQQhItJGNQGOBT9DDe1c5678DkP65qlOtzSvIhrfycVsA8pBXkq1F-9J3aw0WsXPi9hlFMszgbDOlYgu-y1wflcmj5HxIQeBA</recordid><startdate>19910101</startdate><enddate>19910101</enddate><creator>YAMAGISHI, Toshio</creator><general>Atomic Energy Society of Japan</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>19910101</creationdate><title>Design of Radio Frequency Acceleration System for Ion Synchrotron Based on Theory of Linear Quadratic Problem</title><author>YAMAGISHI, Toshio</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c347t-e90d7fe0e2716c6e85dcbd1324f0d31ca139864cb448127ba641b70c4722ebfe3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng ; jpn</language><creationdate>1991</creationdate><topic>control parameter</topic><topic>deviation</topic><topic>ion beams</topic><topic>ion synchrotron</topic><topic>linear quadratic problem</topic><topic>longitudinal oscillation</topic><topic>noise reduction filter</topic><topic>optimal control system design</topic><topic>radiofrequency acceleration</topic><topic>stochastic control theory</topic><toplevel>online_resources</toplevel><creatorcontrib>YAMAGISHI, Toshio</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>YAMAGISHI, Toshio</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Design of Radio Frequency Acceleration System for Ion Synchrotron Based on Theory of Linear Quadratic Problem</atitle><jtitle>Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan</jtitle><addtitle>Journal of the Atomic Energy Society of Japan / Atomic Energy Society of Japan</addtitle><date>1991-01-01</date><risdate>1991</risdate><volume>33</volume><issue>8</issue><spage>792</spage><epage>796</epage><pages>792-796</pages><issn>0004-7120</issn><eissn>2186-5256</eissn><abstract>This report describes an optimal control system design of a radio frequency acceleration for an ion synchrotron. The theory of linear quadratic prdblem (LQP) is applied to minimize the deviation (ΔR) of the ion beam from the central orbit. Chapter II explains the formulation of LQP, with which the feedback gains are calculated. The solution also shows that the principal (ΔR) and the subsidiary (Δφ: longitudinal oscillation of beam) controllers are of PI (proportional+integral terms)-type and P-type, respectively. Chapter III presents discussions taking into account the noises superposed on ΔR and Δφ feedback signals. The noise reduction filters necessarily included in the detecting circuitries produce phase lags in the loops and may deteriorate the damping of the longitudinal oscillation. The effects are examined by simulations. Moreover, applying the stochastic control theory, dispersion of ΔR due to white noises is evaluated. Appropriate control parameters are settled as a compromise between quick responsiveness and noise-insensitiveness. The design method described here shows the complementary charaeter to the classical apploach.</abstract><pub>Atomic Energy Society of Japan</pub><doi>10.3327/jaesj.33.792</doi><tpages>5</tpages><oa>free_for_read</oa></addata></record> |
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source | J-STAGE Free; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
subjects | control parameter deviation ion beams ion synchrotron linear quadratic problem longitudinal oscillation noise reduction filter optimal control system design radiofrequency acceleration stochastic control theory |
title | Design of Radio Frequency Acceleration System for Ion Synchrotron Based on Theory of Linear Quadratic Problem |
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