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MAXCOMPOSITIONALRULEOFINFERENCEINTHEALGORITHMOFAFUZZYCONTROLLER,THEFUZZYFUNCTIONCALCULATIONISALSOACOMPLICATEDANDTIMECONSUMINGTASKTAGAGIANDSUGENOPROPOSEDACRISPTYPEMODELINWHICHTHECONSEQUENTPARTSOFTHEFUZZYCONTROLRULESARECRISPFUNCTIONALREPRESENTATIONORCRISPREALNUMBERSINTHESIMPLIFIEDCASEINSTEADOFFUZZYSETSWITHTHISMODELOFCRISPREALNUMBEROUTPUT,THEFUZZYSETOFTHEINFERENCECONSEQUENCEWILLBEADISCRETEFUZZYSETWITHAFINITENUMBEROFPOINTS,THISCANGREATLYSIMPLIFYTHEFUZZYFUNCTIONALGORITHMBOTHTHEMINMAXMETHODANDTHEPRODUCTSUMMETHODAREOFTENAPPLIEDWITHTHECRISPOUTPUTMODELINAMIXEDMANNERESPECIALLYTHEMIXEDPRODUCTSUMCRISPMODELHASAFINEPERFORMANCEANDTHESIMPLESTALGORITHMTHATISVERYEASYTOBEIMPLEMENTEDINHARDWARESYSTEMANDCONVERTEDINTOAFUZZYNEURALNETWORKMODELINTHISPAPER,WEWILLTAKEACCOUNTOFTHEPRODUCTSUMCRISPTYPEFUZZYCONTROLLER2PIDTYPEFUZZYCONTROLLERSTRUCTUREASILLUSTRATEDINPREVIOUSSECTIONS,THEPDFUNCTIONAPPROXIMATELYBEHAVESLIKEAPARAMETERTIMEVARYINGPDCONTROLLERSINCETHEMATHEMATICALMODELSOFMOSTINDUSTRIALPROCESSSYSTEMSAREOFTYPE,OBVIOUSLYTHEREWOULDEXISTANSTEADYSTATEERRORIFTHEYARECONTROLLEDBYTHISKINDOFFUZZYCONTROLLERTHISCHARACTERISTICHASBEENSTATEDINTHEBRIEFREVIEWOFTHEPIDCONTROLLERINTHEPREVIOUSSECTIONIFWEWANTTOELIMINATETHESTEADYSTATEERROROFTHECONTROLSYSTEM,WECANIMAGINETOSUBSTITUTETHEINPUTTHECHANGERATEOFERRORORTHEDERIVATIVEOFERROROFTHEFUZZYCONTROLLERWITHTHEINTEGRATIONOFERRORTHISWILLRESULTTHEFUZZYCONTROLLERBEHAVINGLIKEAPARAMETERTIMEVARYINGPICONTROLLER,THUSTHESTEADYSTATEERRORISEXPELLEDBYTHEINTEGRATIONACTIONHOWEVER,APITYPEFUZZYCONTROLLERWILLHAVEASLOWRISETIMEIFTHEPPARAMETERSARECHOSENSMALL,ANDHAVEALARGEOVERSHOOTIFTHEPORIPARAMETERSARECHOSENLARGESOTHEREMAYBETHETIMEWHENONEWANTSTOINTRODUCENOTONLYTHEINTEGRATIONCONTROLBUTTHEDERIVATIVECONTROLTOTHEFUZZYCONTROLSYSTEM,BECAUSETHEDERIVATIVECONTROLCANREDUCETHEOVERSHOOTOFTHESYSTEMSRESPONSESOASTOIMPROVETHECONTROLPERFORMANCEOFCOURSETHISCANBEREALIZEDBYDESIGNINGAFUZZYCONTROLLERWITHTHREEINPUTS,ERROR,THECHANGERATEOFERRORANDTHEINTEGRATIONOFERRORHOWEVER,THESEMETHODSWILLBEHARDTOIMPLEMENTINPRACTICEBECAUSEOFTHEDIFFICULTYINCONSTRUCTINGFUZZYCONTROLRULESUSUALLYFUZZYCONTROLRULESARECONSTRUCTEDBYSUMMARIZINGTHEMANUALCONTROLEXPERIENCEOFANOPERATORWHOHASBEENCONTROLLINGTHEINDUSTRIALPROCESSSKILLFULLYANDSUCCESSFULLYTHEOPERATORINTUITIVELYREGULATESTHEEXECUTORTOCONTROLTHEPROCESSBYWATCHINGTHEERRORANDTHECHANGERATEOFTHEERRORBETWEENTHESYSTEMSOUTPUTANDTHESETPOINTVALUEITISNOTTHEPRACTICEFORTHEOPERATORTOOBSERVETHEINTEGRATIONOFERRORMOREOVER,ADDINGONEINPUTVARIABLEWILLGREATLYINCREASETHENUMBEROFCONTROLRULES,THECONSTRUCTINGOFFUZZYCONTROLRULESAREEVENMOREDIFFICULTTASKANDITNEEDSMORECOMPUTATIONEFFORTSHENCEWEMAYWANTTODESIGNAFUZZYCONTROLLERTHATPOSSESSESTHEFINECHARACTERISTICSOFTHEPIDCONTROLLERBYUSINGONLYTHEERRORANDTHECHANGERATEOFERRORASITSINPUTSONEWAYISTOHAVEANINTEGRATORSERIALLYCONNECTEDTOTHEOUTPUTOFTHEFUZZYCONTROLLERASSHOWNINFIG1INFIG1,ANDARESCALINGFACTORSFOREAND1K2RESPECTIVELY,ANDFLISTHEINTEGRALCONSTANTINTHEPROCEEDINGTEXT,FORCONVENIENCE,WEDIDNOTCONSIDERTHESCALINGFACTORSHEREINFIG2,WHENWELOOKATTHENEIGHBORHOODOFNODEPOINTINTHEEPLANE,ITFOLLOWSFROM1THATTHECONTROLINPUTTOTHEPLANTCANBEAPPROXIMATEDBY1HENCETHEFUZZYCONTROLLERBECOMESAPARAMETERTIMEVARYINGPICONTROLLER,ITSEQUIVALENTPROPORTIONALCONTROLANDINTEGRALCONTROLCOMPONENTSAREBK2DANDILK1PRESPECTIVELYWECALLTHISFUZZYCONTROLLERASTHEPITYPEFUZZYCONTROLLERPIFCWECANHOPETHATINAPITYPEFUZZYCONTROLSYSTEM,THESTEADYSTATEERRORBECOMESZEROTOVERIFYTHEPROPERTYOFTHEPITYPEFUZZYCONTROLLER,WECARRYOUTSOMESIMULATIONEXPERIMENTSBEFOREPRESENTINGTHESIMULATION,WEGIVEADESCRIPTIONOFTHESIMULATIONMODELINTHEFUZZYCONTROLSYSTEMSHOWNINFIG3,THEPLANTMODELISASECONDORDERANDTYPESYSTEMWITHTHEFOLLOWINGTRANSFERFUNCTION2121STKSGWHEREK16,1,AND05INOURSIMULATIONEXPERIMENTS,WEUSETHE1T2DISCRETESIMULATIONMETHOD,THERESULTSWOULDBESLIGHTLYDIFFERENTFROMTHATOFACONTINUOUSSYSTEM,THESAMPLINGTIMEOFTHESYSTEMISSETTOBE01SFORTHEFUZZYCONTROLLER,THEFUZZYSUBSETSOFEANDDAREDEFINEDASSHOWNINFIG4THEIRCORESTHEFUZZYCONTROLRULESAREREPRESENTEDASTABLE1FIG5DEMONSTRATESTHESIMULATIONRESULTOFSTEPRESPONSEOFTHEFUZZYCONTROLSYSTEMWITHAPLFCWECANSEETHATTHESTEADYSTATEERROROFTHECONTROLSYSTEMBECOMESZERO,BUTWHENTHEINTEGRATIONFACTORFLISSMALL,THESYSTEMSRESPONSEISSLOW,ANDWHENITISTOOLARGE,THEREISAHIGHOVERSHOOTANDSERIOUSOSCILLATIONTHEREFORE,WEMAYWANTTOINTRODUCETHEDERIVATIVECONTROLLAWINTOTHEFUZZYCONTROLLERTOOVERCOMETHEOVERSHOOTANDINSTABILITYWEPROPOSEACONTROLLERSTRUCTURETHATSIMPLYCONNECTSTHEPDTYPEANDTHEPITYPEFUZZYCONTROLLERTOGETHERINPARALLELWEHAVETHEEQUIVALENTSTRUCTUREOFTHATBYCONNECTINGAPIDEVICEWITHTHEBASICFUZZYCONTROLLERSERIALLYASSHOWNINFIG6WHEREISTHEWEIGHTONPDTYPEFUZZYCONTROLLERANDFIISTHATONPITYPEFUZZYCONTROLLER,THELARGERA/FIMEANSMOREEMPHASISONTHEDERIVATIVECONTROLANDLESSEMPHASISONTHEINTEGRATIONCONTROL,ANDVICEVERSAITFOLLOWSFROM7THATTHEOUTPUTOFTHEFUZZYCONTROLLERIS33THEPARAMETERADAPTIVEMETHODTHUSTHEFUZZYCONTROLLERBEHAVESLIKEATIMEVARYINGPIDCONTROLLER,ITSEQUIVALENTPROPORTIONALCONTROL,INTEGRALCONTROLANDDERIVATIVECONTROLCOMPONENTSARERESPECTIVELYWECALLTHISNEWCONTROLLERSTRUCTUREAPIDTYPEFUZZYCONTROLLERPIDFCFIGS7AND8ARETHESIMULATIONRESULTSOFTHESYSTEMSSTEPRESPONSEOFSUCHCONTROLSYSTEMTHEINFLUENCEOFANDFLTOTHESYSTEMPERFORMANCEISILLUSTRATEDWHEN0AND/30,MEANINGTHATTHEFUZZYCONTROLLERBEHAVESLIKEPDFC,THEREEXISTASTEADYSTATEERRORWHEN0ANDFL0,MEANINGTHATTHEFUZZYCONTROLLERBEHAVESLIKEAPIFC,THESTEADYSTATEERROROFTHESYSTEMISELIMINATEDBUTTHEREISALARGEOVERSHOOTANDSERIOUSOSCILLATIONWHEN0AND130THEFUZZYCONTROLLERBECOMESAPIDFC,THEOVERSHOOTISSUBSTANTIALLYREDUCEDITISPOSSIBLETOGETACOMPARATIVELYGOODPERFORMANCEBYCAREFULLYCHOOSINGTHEVALUEOFAND4CONCLUSIONSWEHAVESTUDIEDTHEINPUTOUTPUTBEHAVIOROFTHEPRODUCTSUMCRISPTYPEFUZZYCONTROLLER,REVEALINGTHATTHISTYPEOFFUZZYCONTROLLERBEHAVESAPPROXIMATELYLIKEAPARAMETERTIMEVARYINGPDCONTROLLERTHEREFORE,THEANALYSISANDDESIGNINGOFAFUZZYCONTROLSYSTEMCANTAKEADVANTAGEOFTHECONVENTIONALPIDCONTROLTHEORYACCORDINGTOTHECOVENTIONALPIDCONTROLTHEORY,WEHAVEBEENABLETOPROPOSESOMEIMPROVEMENTMETHODSFORTHECRISPTYPEFUZZYCONTROLLERITHASBEENILLUSTRATEDTHATTHEPDTYPEFUZZYCONTROLLERYIELDSASTEADYSTATEERRORFORTHETYPESYSTEM,THEPITYPEFUZZYCONTROLLERCANELIMINATETHESTEADYSTATEERRORWEPROPOSEDACONTROLLERSTRUCTURE,THATCOMBINESTHEFEATURESOFBOTHPDTYPEANDPITYPEFUZZYCONTROLLER,OBTAININGAPIDTYPEFUZZYCONTROLLERWHICHALLOWSTHECONTROLSYSTEMTOHAVEAFASTRISEANDASMALLOVERSHOOTASWELLASASHORTSETTLINGTIMETOIMPROVEFURTHERTHEPERFORMANCEOFTHEPROPOSEDPIDTYPEFUZZYCONTROLLER,THEAUTHORSDESIGNEDAPARAMETERADAPTIVEFUZZYCONTROLLERTHEPIDTYPEFUZZYCONTROLLERCANBEDECOMPOSEDINTOTHEEQUIVALENTPROPORTIONALCONTROL,INTEGRALCONTROLANDTHEDERIVATIVECONTROLCOMPONENTSTHEPROPOSEDPARAMETERADAPTIVEFUZZYCONTROLLERDECREASESTHEEQUIVALENTINTEGRALCONTROLCOMPONENTOFTHEFUZZYCONTROLLERGRADUALLYWITHTHESYSTEMRESPONSEPROCESSTIME,SOASTOINCREASETHEDAMPINGOFTHESYSTEMWHENTHESYSTEMISABOUTTOSETTLEDOWN,MEANWHILEKEEPSTHEPROPORTIONALCONTROLCOMPONENTUNCHANGEDSOASTOGUARANTEEQUICKREACTIONAGAINSTTHESYSTEMSERRORWITHTHEPARAMETERADAPTIVEFUZZYCONTROLLER,THEOSCILLATIONOFTHESYSTEMISSTRONGLYRESTRAINEDANDTHESETTLINGTIMEISSHORTENEDCONSIDERABLYWEHAVEPRESENTEDTHESIMULATIONRESULTSTODEMONSTRATETHEFINEPERFORMANCEOFTHEPROPOSEDPIDTYPEFUZZYCONTROLLERANDTHEPARAMETERADAPTIVEFUZZYCONTROLLERSTRUCTUREPART2APPLICATIONOFSELFADAPTATIONFUZZYPIDCONTROLFORMAINSTEAMTEMPERATURECONTROLSYSTEMINPOWERSTATIONZHIBINLIABSTRACTINLIGHTOFTHELARGEDELAY,STRONGINERTIA,ANDUNCERTAINTYCHARACTERISTICSOFMAINSTEAMTEMPERATUREPROCESS,ASELFADAPTATIONFUZZYPIDSERIALCONTROLSYSTEMISPRESENTED,WHICHNOTONLYCONTAINSTHEANTIDISTURBANCEPERFORMANCEOFSERIALCONTROL,BUTALSOCOMBINESTHEGOODDYNAMICPERFORMANCEOFFUZZYCONTROLTHESIMULATIONRESULTSSHOWTHATTHISCONTROLSYSTEMHASMOREQUICKLYRESPONSE,BETTERPRECISIONANDSTRONGERANTIDISTURBANCEABILITYKEYWORDSMAINSTEAMTEMPERATURE；SELFADAPTATION；FUZZYCONTROL；SERIALCONTROL1INTRODUCTIONTHEBOILERSUPERHEATERSOFMODEMTHERMALPOWERSTATIONRUNUNDERTHECONDITIONOFHIGHTEMPERATUREANDHIGHPRESSURE,ANDTHESUPERHEATERSTEMPERATUREISHIGHESTINTHESTEAMCHANNELSSOITHASIMPORTANTEFFECTTOTHERUNNINGOFTHEWHOLETHERMALPOWERSTATIONIFTHETEMPERATUREISTOOHIGH,ITWILLBEPROBABLYBURNTOUTIFTHETEMPERATUREISTOOLOW,THEEFFICI