优化算法在一类反问题中的应用研究论文

《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