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1、InternationalRailwayJournalLevelControlSystem【Title】InternationalRailwayJournal【PublicationDate】2008【No.】periodMarchIonMatei,DumitruPopescu,CiprianLupu,llieLuicanPolitehnicaUniversityofBucharest-ControlandComputerScienceFacultySplaiulIndependenteinr.313,sector6,B
2、ucurcsti,Romaniaemail:inion@3home.ro1LevelcontrolsystemThefluidflowiscontrolledbyanelectricpomp.Theprocessinputisavoltagewithvaluesbetween0and10Vandtheoutputisthefluidlevelmeasuredbyanultrasoundstransducer.Theprocessisnonlinearbutitisapproximatedwithlinearmathema
3、ticalmodelaroundarepresentativepointoffunctioning.TheapproximatedmathematicalmodelwhichwasobtainedusingthesampleperiodTe=5s.Itisimportanttomentionthatfordesigninganumericalregulatorthreestepsmustbefollowed:-computingthediscretemodel;-performancesspecification;-co
4、mputingtheadequatecontrolalgorithmInthiscaseforthelevelcontrolwereusedthenextnumericalcontrolalgorithms:RSTandPIDwithitstwovariants,PIDlandPID2.Thesealgorithmshavedifferentperformancessothatthestudentswillhavetheopportunitytocomparethem.FirstitwillbepresentedtheR
5、STalgorithmandthanthepaperwillcontinuewithPIDalgorithmswhichwillbestructuredanalyzedandcomparedtothefirstone.2PIDalgorithmNumericalPIDalgorithmcomesfromsamplingthecontinuousPIDalgorithmwithallappropriatesamplingperiod.NumericalPIDcontrollersaresuitableonlyforproc
6、essesmodeledbyasecondordertransferfunctionwithorwithoutpuredelay.ItisworthtomentionthatsomenumericalPIDcontrollersdonothaveacontinuousequivalent.2.1PIDlnumericalalgorithmLetusconsiderthealgorithm:ThetransferfunctionsofacontinuousPIDcontroller,Thisalgorithmisspeci
7、fiedbyfourparameters:K-proportionalaction;Ti-integralaction;Td-derivativeaction;Td-filteredderivativeaction.Therearemanymethodsthatcanbeusedtosamplethisalgorithmresultinginanumericalcontrollerofthesameform.Asitmaybeseen,PIDlnumericalregulatorhasalsofourparameters
8、(rthr1r2,s1)asitscontinuousform.ThisalgorithmcanbeInternational5RailwayJournalstructuredinaRSTformifT(q-1)=R(q-1).ItiseasytonoticethatPIDlisonefreedomdegreealg
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