Approximate Solution Research of State Equation for Controlled Nonlinear Systems
Based on the solution of the linear state equation, by making of the Taylor expansion, the nonlinear state equation of controlled systems under ideal state is transformed to a set of ordinary differential equations with infinite series expression. Based on the solution of this set of linear state eq...
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| creator | Cao Shaozhong Yang Guowei Tu Xuyan |
| description | Based on the solution of the linear state equation, by making of the Taylor expansion, the nonlinear state equation of controlled systems under ideal state is transformed to a set of ordinary differential equations with infinite series expression. Based on the solution of this set of linear state equation, the integral equation of the nonlinear state equation is also obtained by utilizing constant variation method. Finally, any order approximate solution of the nonlinear state equation is given by utilizing successive approximation method. |
| doi_str_mv | 10.1109/ICNSC.2008.4525513 |
| format | Conference Proceeding |
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Based on the solution of this set of linear state equation, the integral equation of the nonlinear state equation is also obtained by utilizing constant variation method. Finally, any order approximate solution of the nonlinear state equation is given by utilizing successive approximation method.</description><identifier>ISBN: 142441685X</identifier><identifier>ISBN: 9781424416851</identifier><identifier>EISBN: 9781424416868</identifier><identifier>EISBN: 1424416868</identifier><identifier>DOI: 10.1109/ICNSC.2008.4525513</identifier><identifier>LCCN: 2007936075</identifier><language>eng</language><publisher>IEEE</publisher><subject>Approximation methods ; Control systems ; Control theory ; Differential equations ; Integral equations ; Nonlinear control systems ; Nonlinear equations ; Nonlinear systems ; Taylor series ; Vectors</subject><ispartof>2008 IEEE International Conference on Networking, Sensing and Control, 2008, p.1784-1787</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/4525513$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>309,310,776,780,785,786,2052,27902,54895</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/4525513$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Cao Shaozhong</creatorcontrib><creatorcontrib>Yang Guowei</creatorcontrib><creatorcontrib>Tu Xuyan</creatorcontrib><title>Approximate Solution Research of State Equation for Controlled Nonlinear Systems</title><title>2008 IEEE International Conference on Networking, Sensing and Control</title><addtitle>ICNSC</addtitle><description>Based on the solution of the linear state equation, by making of the Taylor expansion, the nonlinear state equation of controlled systems under ideal state is transformed to a set of ordinary differential equations with infinite series expression. 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Based on the solution of this set of linear state equation, the integral equation of the nonlinear state equation is also obtained by utilizing constant variation method. Finally, any order approximate solution of the nonlinear state equation is given by utilizing successive approximation method.</abstract><pub>IEEE</pub><doi>10.1109/ICNSC.2008.4525513</doi><tpages>4</tpages></addata></record> |
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| source | IEEE Electronic Library (IEL) Conference Proceedings |
| subjects | Approximation methods Control systems Control theory Differential equations Integral equations Nonlinear control systems Nonlinear equations Nonlinear systems Taylor series Vectors |
| title | Approximate Solution Research of State Equation for Controlled Nonlinear Systems |
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