Control design in problems with an unknown level of dynamic disturbance
Linear differential games for two players with a fixed termination time are considered. The objective of player 1 is to bring the motion of the system into an assigned terminal set or fairly close to it at the termination time. Player 2 (the disturbance) opposes this. The control of player 1 is scal...
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| Veröffentlicht in: | Journal of applied mathematics and mechanics 2006, Vol.70 (5), p.680-695 |
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| container_title | Journal of applied mathematics and mechanics |
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| creator | Ganebnyi, S.A. Kumkov, S.S. Patsko, V.S. |
| description | Linear differential games for two players with a fixed termination time are considered. The objective of player 1 is to bring the motion of the system into an assigned terminal set or fairly close to it at the termination time. Player 2 (the disturbance) opposes this. The control of player 1 is scalar and its absolute value is subject to a constraint. One special feature of the formulation is that no constraint on the control of player 2 is specified
a priori. A method of designing the feedback control of player 1 that works satisfactorily over a broad range of disturbance levels and corresponds to a small magnitude of the control input at a low level of disturbance is proposed and verified. A numerical program is written for the case of small dimensionality of the phase variable. The results of the simulation of a system that describes a conflict-controlled pendulum are presented. |
| doi_str_mv | 10.1016/j.jappmathmech.2006.11.003 |
| format | Article |
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a priori. A method of designing the feedback control of player 1 that works satisfactorily over a broad range of disturbance levels and corresponds to a small magnitude of the control input at a low level of disturbance is proposed and verified. A numerical program is written for the case of small dimensionality of the phase variable. The results of the simulation of a system that describes a conflict-controlled pendulum are presented.</description><identifier>ISSN: 0021-8928</identifier><identifier>EISSN: 0021-8928</identifier><identifier>DOI: 10.1016/j.jappmathmech.2006.11.003</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Applied sciences ; Computer science; control theory; systems ; Control system synthesis ; Control theory. Systems ; Exact sciences and technology ; Game theory ; Operational research and scientific management ; Operational research. Management science</subject><ispartof>Journal of applied mathematics and mechanics, 2006, Vol.70 (5), p.680-695</ispartof><rights>2006 Elsevier Ltd</rights><rights>2007 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c328t-93c4ebca1346bf03ea48e94e15e923b1dc45088fd36f99dbc1417e6fd0d33d543</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.jappmathmech.2006.11.003$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,4024,27923,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=18477835$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Ganebnyi, S.A.</creatorcontrib><creatorcontrib>Kumkov, S.S.</creatorcontrib><creatorcontrib>Patsko, V.S.</creatorcontrib><title>Control design in problems with an unknown level of dynamic disturbance</title><title>Journal of applied mathematics and mechanics</title><description>Linear differential games for two players with a fixed termination time are considered. The objective of player 1 is to bring the motion of the system into an assigned terminal set or fairly close to it at the termination time. Player 2 (the disturbance) opposes this. The control of player 1 is scalar and its absolute value is subject to a constraint. One special feature of the formulation is that no constraint on the control of player 2 is specified
a priori. A method of designing the feedback control of player 1 that works satisfactorily over a broad range of disturbance levels and corresponds to a small magnitude of the control input at a low level of disturbance is proposed and verified. A numerical program is written for the case of small dimensionality of the phase variable. The results of the simulation of a system that describes a conflict-controlled pendulum are presented.</description><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Control system synthesis</subject><subject>Control theory. Systems</subject><subject>Exact sciences and technology</subject><subject>Game theory</subject><subject>Operational research and scientific management</subject><subject>Operational research. Management science</subject><issn>0021-8928</issn><issn>0021-8928</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2006</creationdate><recordtype>article</recordtype><recordid>eNqNkM1OwzAQhCMEEuXnHSwkuCXYsZM43FCBglSJC5wtx95Qh8QJdtKqb4-rVqJHTruH2ZmdL4puCE4IJvl9kzRyGDo5rjpQqyTFOE8ISTCmJ9EM45TEvEz56dF-Hl1432BMCpzzWbSY93Z0fYs0ePNlkbFocH3VQufRxowrJC2a7LftNxa1sIYW9TXSWys7o5A2fpxcJa2Cq-islq2H68O8jD5fnj_mr_HyffE2f1zGiqZ8jEuqGFRKEsryqsYUJONQMiAZlCmtiFYsw5zXmuZ1WepKEUYKyGuNNaU6Y_Qyutv7hi9_JvCj6IxX0LbSQj95kZYkTzHPg_BhL1Su995BLQZnOum2gmCxYycaccxO7NgJQkRgF45vDynSK9nWLlQ0_s-Bs6LgNAu6p70OQuW1ASe8MhBwaONAjUL35j9xvztajJU</recordid><startdate>2006</startdate><enddate>2006</enddate><creator>Ganebnyi, S.A.</creator><creator>Kumkov, S.S.</creator><creator>Patsko, V.S.</creator><general>Elsevier Ltd</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope></search><sort><creationdate>2006</creationdate><title>Control design in problems with an unknown level of dynamic disturbance</title><author>Ganebnyi, S.A. ; Kumkov, S.S. ; Patsko, V.S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c328t-93c4ebca1346bf03ea48e94e15e923b1dc45088fd36f99dbc1417e6fd0d33d543</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2006</creationdate><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control system synthesis</topic><topic>Control theory. Systems</topic><topic>Exact sciences and technology</topic><topic>Game theory</topic><topic>Operational research and scientific management</topic><topic>Operational research. Management science</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Ganebnyi, S.A.</creatorcontrib><creatorcontrib>Kumkov, S.S.</creatorcontrib><creatorcontrib>Patsko, V.S.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><jtitle>Journal of applied mathematics and mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Ganebnyi, S.A.</au><au>Kumkov, S.S.</au><au>Patsko, V.S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Control design in problems with an unknown level of dynamic disturbance</atitle><jtitle>Journal of applied mathematics and mechanics</jtitle><date>2006</date><risdate>2006</risdate><volume>70</volume><issue>5</issue><spage>680</spage><epage>695</epage><pages>680-695</pages><issn>0021-8928</issn><eissn>0021-8928</eissn><abstract>Linear differential games for two players with a fixed termination time are considered. The objective of player 1 is to bring the motion of the system into an assigned terminal set or fairly close to it at the termination time. Player 2 (the disturbance) opposes this. The control of player 1 is scalar and its absolute value is subject to a constraint. One special feature of the formulation is that no constraint on the control of player 2 is specified
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| subjects | Applied sciences Computer science control theory systems Control system synthesis Control theory. Systems Exact sciences and technology Game theory Operational research and scientific management Operational research. Management science |
| title | Control design in problems with an unknown level of dynamic disturbance |
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