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1、FuzzySetsandSystems56(1993)37-4637North-HollandFuzzyself-tuningofPIDcontrollersShi-ZhongHe1,ShaohuaTanworldtowardsthenewinvention,itdoesrevealFeng-LanXu:therichpotentialofthisextremelysimpleDepartmentofElectricalEngineering,NationalUniversityof(almostprimitive,pe
2、rhaps,intheeyesofsomeSingapore,10KentRidgeCrescent,Singapore0511controltheorists)controlstrategyformeetingvariousspecificationsforavastvarietyofPei-ZhuangWang3industrialprocesses.InstituteofSystemScience,NationalUniversityofSingapore,AcrucialissueinthePIDcontroli
3、sthesettingHengMuiKengTerrace,KentRidge,Singapore0511ofthecontrollerparameters,theso-calledtuningproblem.TheconventionalwaytodothetuningReceivedAugust1992istostudythemathematicalmodelsofprocesses,RevisedOctober1992andtrytocomeupwithasimpletuninglawthatwillestabli
4、shasetofconstantPIDparametersAbstract."Thispaperpresentsanovelfuzzyself-tuningPIDcontrolschemeforregulatingindustrialprocesses.Thebasedonthemodels.essentialideaoftheschemeistoparameterizeaItisnothardtoshowtheoreticallythattheZiegler-Nichols-liketuningformulabyasi
5、ngleparametera,PIDisadequatefortheprocessesmodelledthentouseanon-linefuzzyinferencemechanismtoself-tuneperfectlybylinearfirstorsecondordersystems.theparameter.Thefuzzytuningmechanism,withprocessTuninglawscaneasilybeestablishedintheseoutputerroranderrorrateasitsin
6、puts,adjustsc~insuchawaythatitspeedsuptheconvergenceoftheprocessoutputcases.Unfortunately,realindustrialprocessestoaset-pointYr,andslowsdownthedivergencetrendofthecanneverbemodelledperfectlyassimplyastheoutputfromYr.Acomparativesimulationstudyonvariouslinearfirst
7、andthesecondordersystems.Theyprocesses,includingasecond-orderprocess,processeswithmayhavesuchmarkedcharacteristicsaslongdead-timeandnon-minimumphaseprocesses,showshigh-order,dead-time,nonlinearity,etc.,andthattheperformanceofthenewschemeimprovesconsiderably,inter
8、msofset-pointandloaddisturbancemaybeaffectedbynoise,loaddisturbanceandresponses,overthePIDcontrollerswell-tunedusingboththeotherambientconditionsthatcauseparam