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ID:33321721
大小:1.46 MB
页数:58页
时间:2019-02-24
《优化算法在一类反问题中的应用研究论文》由会员上传分享,免费在线阅读,更多相关内容在教育资源-天天文库。
1、AbstfactTitle:APPLICATlONANDRESEARCH0FALGORITHMINlNVERSEPROBLEMMajor:ControlTheoryandControlEngineeringName:GuangchaoWuSignature:Supervisor:Prof.XinfangWangSignature=Abstract·砝认身l∥ThisthesisisconcernedwiththeapplicationofoptimizationininverseStefanproblems.Inthispaper,theadvantageanddisadva
2、ntageoftraditionaloptimizationalgorithmsareanalyzedfirstly,thenthefunctionofinverseStefanproblemareintroduced.Forthismultivariablefunction,ifthevariablesarechangedlinearly,thesinglevariablefunctionwillbegot,byitscurvethenewfunctionisdiscussed.GAisbasedonevolution,inthealgorithmthesolutionar
3、edescribedascllromosome。accordingto“survivalofthefittest”,GAchoosethebetterchmmO∞me,aftertheoperationofreproduction、c∞0ss0Vc“mutation,thenewgenerationofchomosomeareformed.byevolution,finallythebestchromosomearefound.nedifficultyofGAisencodethechromosome.thispaperusereal-numberencoding.Inord
4、ertosavethebetterchromosome,themutationratioaregivenadaptively,thebestfitnesshasthelowestmutation.PSOoriginatedfromtheresearchofbird,thebasicthoughtofPSOistofindthebestsolutionbyalltheparticlessharetheirinformationandcooperation.Inthispapertheauthordiscussedtheinfluenceofeachparametersuchas
5、particlenumber、m戕imumvelocity、accelerationcoefficient、inertiaweight、iterations·Afterthediscussion,theauthorlistthebestparameterandsolution.TheresultofsolvemultivadablefunctionofinverseStefanshowsbethPS0andGAhaveabetterprecision,butthatneedtoomuchtime.Asforthesinglevariablefunction,thispaper
6、alsousedifferentalgorithmtosolveit。includingPSO、GAandsometraditionalalgorithms.皿eoutcomedisplayconvertthemulfivariablefunctiontosinglevariablejsfeasible,espedalforsomereal—timeoccasion,suchasthereal—timetrace.Comparedthealgorithmused,theauthorputforwardtwocombinedalgorithm,GA+Gradient,PSO+G
7、-radient.Usethemtosolvethefunction,comparedwiththeGAandPSO,thecombinedalgorithmgiveabettersolution,especialGA+Gradient.Intheend,thispaperchangedthesimulationdata,usethesamealgorithmtosolveit,theoutcomeiSstillacceptable,Gradient、Bisection、PS0aresuitablefo
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