PID Control Theory .pdf

PID Control Theory .pdf

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时间:2019-03-10

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1、PIDControlTheoryThemeaningofcontrolisusuallytotracksomethingbasedontheerrorbetweenthedesiredtargetandactualdata.Invelocitycruisecontrolofvehicleasanexample,ifyousetthetargetvelocityas60mph,thecruisecontrollerwilloperatetokeepthattargetvelocitybasedonthedifferencebetweenthetarge

2、tvelocityandactualvehiclevelocity.PIDcontrolisatheorytobeabletoachievethiskindofcontrolchallenges.Thiscontroltheoryisoneoftheclassiccontrols,whichissimple,easytoimplement,andcheep.Ifweassumethattheactualvelocityofthecarcanbemeasured,theerrorcanbecalculatedeasilybytarget-actualv

3、elocity.Mostcontroltheoryusetheerrortotrackthereference,speciallyPIDcontroltheoryusesthiserrormultipliedbyproportional,derivative,andintegralgaintotrackthetarget.Inthiscase,proportionalgainisP,derivativegainisD,andintegralgainisI,thuswecallthiscontroller"PIDcontroller".Pgainusu

4、allyinfluenceshowfastthesystemcanresponse,Disusedtoreducethemagnitudeoftheovershoot,andIisusedtoeliminatethesteady-stateerror.Butthereisnooptimalsolutioninthiscontroller.Forexample,ifPIDarecombinedtogether,thecombinationofPIDgainsaffectsthesystemresponsenotaffectindependently.T

5、husthereisnosolutiontofindtheoptimalgainsousuallyPIDgainsarespecifiedbytuning.Asaresultofthisfeature,PIDcontrollerismostlyusedinLinear-TimeInvariant(LTI)systemandSingle-InputSingle-Output(SISO)systemnotinnon-linearandcomplexMulti-InputMulti-Output(MIMO)system.Totunethesystemres

6、ponse,usuallythesystemspecificationissetatthefirst.Theneachgainistunedtosatisfythesystemresponsespecificationdefinedsuchaspercentovershoot,risingtime,settlingtime,andsoon.Inthissection,wewillexperiencewhatPIDcontrolleris,usingMATLABandfinallywewillimplementthiscontrollertocontr

7、olCart-InvertedCranesystemviaSISOtoolboxinMATLAB.ContentsMATLABEXAMPLEClosedLoopSystemTransferFunctionProportionalControllerP+DerivativeControllerP+IntegralControllerSummaryclcclearallcloseallMATLABEXAMPLEInchapter1-NXTMotorIdentification,wederivedmotortransferfunctionviasystem

8、identificationmethod.Herewewillusethistransferfunction

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