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1、PIDControllerTuningforDesiredClosed-LoopResponsesforSI/SOSystemsYonghoLeeandSunwonParkDept.ofChemicalEngineering,KoreaAdvancedInstituteofScienceandTechnology,Taejon305-701,KoreaMoonyongLeeSchoolofChemicalEngineeringandTechnology,YeungnamUniversity,Kyongsan712-749,KoreaColemanBrosilow
2、Dept.ofChemicalEngineering,CaseWesternReserveUniversity,Cleveland,OH44106Proportional,integral,andderiuatiue(PID)parametersareobtainedforgeneralpro-cessmodelsbyapproximatingthefeedbackformofanIMCcontrollerwithaMaclaurinseriesintheLaplaceuariable.ThesePIDparametersyieldclosed-loopresp
3、onsesthatareclosertothedesiredresponsesthanthoseobtainedbyPIDcontrollerstunedbyothermethods.Theimprovementinclosed-loopcontrolpeformancebecomesmorepromi-nentasthedeadtimeoftheprocessmodelincreases.Anewdesignmethodfortwodegreeoffreedomcontrollersisalsoproposed.Suchcontrollersareessent
4、ialforunsta-bleprocessesandprovidesignificantlyimproveddynamicperformanceouersinglede-greeoffreedomcontrollersforstableprocesseswhenthedisturbancesenterthroughtheprocess.IntroductionSincetheproportional,integral,andderivative(PID)con-controller.However,bycleverapproximationsoftheproc
5、esstrollerfindswidespreaduseintheprocessindustries,agreatmodel,thecontrollerformcanbereducedtothatofaPIDdealofefforthasbeendirectedatfindingthebestchoicescontroller,oraPIDcontrollercascadedwithafirst-orsec-forthecontrollergain,integral,andderivativetimeconstantsond-orderlag.Animporta
6、ntadvantageofsuchmethodsisforvariousprocessmodels(ZieglerandNichols,1942;Cohenthattheclosed-looptimeconstant,whichisthesameastheandCoon,1953;Lopezetal.,1967;Smithetal.,1975;RiveraIMCfiltertimeconstant,providesaconvenienttuningpa-etal.,1986;ChienandFruehauf,1990;TyreusandLuyben,ramete
7、rtoadjustthespeedandrobustnessoftheclosed-loop1992;Sungetal.,1995;Leeetal.,1996).Amongtheper-system.Intuitively,onewouldexpectthatasthedesiredformancecriteriausedforPIDcontrollerparametertuning,closed-looptimeconstantincreases,thePIDcontrollergainthecriteriontokeepthecontrolledvariab
8、leresponsecl