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(外文翻译)1外文翻译学生姓名学院名称机电工程学院专业名称机械设计制造及其自动化指导教师(外文翻译)2Anexperimentalstudyontheoptimizationofcontrollergainsforanelectro-hydraulicservosystemusingevolutionstrategiesMinYoungKim,Chung-OhLeeDepartmentofMechanicalEngineering,KoreaAdvancedInstituteofScienceandTechnologyAbstractThispaperdealswithanexperimentaloptimizationproblemofthecontrollergainsforanelectro-hydraulicpositioncontrolsystemthroughevolutionstrategies(ESs)-basedmethod.Theoptimalcontrollergainsforthecontrolsystemareobtainedbymaximizingtnessfunctiondesignedspeciallytoevaluatethesystemperformance.Inthispaper,foranelectro-hydraulicpositioncontrolsystemwhichwouldrepresentahydraulicmillstandfortheroll-gapcontrolinplatehot-rollings,thetimedelaycontroller(TDC)isdesigned,andthreecontrolparametersofthiscontrolleraredirectlyoptimizedthroughaseriesofexperimentsusingthismethod.Itisshownthatthenear-optimalvalueofthecontrollergainsisobtainedinabout5thgeneration,whichcorrespondstoapproximately150experiments.Theoptimalcontrollergainsareexperimentallyconrmedbyinspectingthetnessfunctiontopologiesthatrepresentsystemperformanceinthegainspaces.ItisfoundthattherearesomelocaloptimumsonatnessfunctiontopologysothattheoptimizationofthethreecontrolparametersofaTDCbymanualtuningcouldbeataskofgreatdifculty.TheoptimizedresultsviatheEScoincidewiththemaximumpeakpointinopologies.Itisalsoshownthattheproposedmethodisanefcientschemegivingeconomyoftimeandlaborinoptimizingthecontrollergainsofuidpowersystemsexperimentally.Keywords:Controllergainoptimization;Evolutionstrategies;Timedelaycontrol;Automaticcontrollergainsearch;Electro-hydraulicservosystem1.IntroductionRecently,theresearchontheoptimizationandadaptationofcontrollergainsorparametersforimprovingthesystemperformanceinhydraulicandpneumaticservosystemshasbeenaeldofincreasinginterest(Fleming&Purshouse,2002;Klein,1992;Jeon,Lee,&Hong,1998;Hyun&Lee,1998;Choi,Lee,&Cho,2000).Ingeneral,whencontrolengineersdesigncontrollerforhydraulicorpneumaticservosystems,itisverydifculttodeterminetheoreticallyitscontrolgainstoexhibitthebestperformanceofthesystems,becausetheaccuratemodelingforthese(外文翻译)3systemsishardduetohighlynonlinearcharacteristicsoftheuidpowersystems.Tobemorespecic,thehydraulicandpneumaticservosystemsalreadyhavearelativelyhigherdegreeofnonlinearitythanothermechatronicsystemslikeDCorACservosystems.Itresultsfromvariousfactors(Merrit,1976;Watton,1989):thepressure-owcharacteristicsofvalve,thesaturationofvalveandcylinder,theleakageowcharacteristicsofvalveandcylinderwithvariationofsupplypressure,thefrictioncharacteristicincylinder,thevariationofviscosityandcompressibilityofworkinguidwiththetemperature,theowcharacteristicduetotheshapeofpipeline,andmostimportantly,thevariationofthesystemgainswiththesupplypressureandtheloadpressure.Therefore,whentheseuidpowersystemsarecontrolled,thecontrollergainsareadjustedonthefoundationofexpertsintuitiveknowledgeaboutthesystemandthetuningexperienceofthecontrollergainsingeneral.Itneedsveryexcessiveexperimentsthroughtrialanderror.Butthoughsomecontrollergainsareobtained,itishardtosaythattheresultsarethebestgainsetatagivensituation.Fortheautomaticadjustmentofthecontrollergainsinuidpowersystems,theresearchtoapplicationofafuzzygainadapter(FGA)hasbeenperformed(Jeon,1997;Klein,1992).Inthiscase,theknowledgebaseisneededfortransplantationoftheexpertknowledgetothesystems,andsomegeneralrulestovariationofthesystemresponseduetovariationofthecontrollergainsaredemandedfortheconstructionofthisknowledgebase.Therefore,muchexpertsexperiencesandmanyexperimentsarenecessaryfortheimplementationofthisalgorithm.Inthisstudy,evolutionstrategies(ESs)isproposedasamethodoftheautomaticoptimizationofthecontrollergainsinaelectro-hydraulicsystem.ESisoneoftheevolutionaryalgorithmsbasedonthenaturalgeneticsandthesurvivalofthettest(Rechenberg,1973;Schwefel,1981;Back&Schwefel,1994,1996).Whenanappropriatetnessfunctionrepresentingpotentialsolutionsisgivenassurvivabilityofcandidates,thetuningproblemofcontrollergainscanbeconsideredasanoptimizationproblem,sothatanoptimalcontrollergainsetissearchedintheregionofgainspacesspeciedbyoperator.Amajoradvantageisthatmuchexperienceonthegain-tuningforthecontrolsystemisnotrequired,andtheleastinformationforthesystemisjustrequired.Especially,incasesthatarealexperimentalsystemisdirectlyusedforevaluatingcandidates,ESsaremoresuitablethanotherevolutionalgorithmsduetoitsowncharacteristiccalledself-adaptation.Inthisstudy,atimedelaycontroller(TDC)isdesignedasacontrollerforpositioncontrolofanelectro-hydraulicservosystem.Thecontrollerdesignedtohave2ndordererrordynamicshasthreecontrollergainsimplicitly.ByusinganESasoptimizationalgorithms,theoptimalcontrollergainsetinthespeciedgainspacesisdeterminedthroughonlineexperiments.Forthevericationoftheobtainedresults,thetnessfunctiontopologiesinthegainspaces(外文翻译)4experimentallyaremadeout,andanalyzed.Finally,theexperimentalresultssearchedthroughESsareshowntocoincidewiththeoptimalpeakpointthathasbesttnessvalueonthespeciedgainspaces.2.Hydraulicservosystem2.1.Electro-hydraulicpositioncontrolsystemFig.1istheschematicdiagramoftheelectro-hydraulicpositioncontrolsystemusedinthisstudy.Thissystemisatestrigfortheroll-gapcontrolofhydraulicmillstand,whichwasmadefortheimprovementofthicknesscontrolperformanceinplatehot-rollingprocesses(Gizburg,1984;Lee,Lim,&Park,1997).Therigsimulatesaroll-gapcontrolsystemcomposedofahydraulicmillstandinanumberofautomaticgaugecontrolsystemsforhotrollingprocesses.Thesystemconsistsofstructurespringtorepresentamodulusofmillstand,materialspringtorepresentamodulusofrolledstrip,roll-gapcontrolcylindertocontroladeformationofmaterialspring,anddisturbancecylindertogivet
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