DynamicMatrixControl-Introduction动态矩阵控制-简介

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1、DynamicMatrixControl-IntroductionDevelopedatShellinthemid1970’sEvolvedfromrepresentingprocessdynamicswithasetofnumericalcoefficientsUsesaleastsquareformulationtominimizetheintegraloftheerror/timecurve2/25/20011IndustrialProcessControlDynamicMatrixControl-IntroductionDMCalg

2、orithmincorporatesfeedforwardandmultivariablecontrolIncorporationoftheprocessdynamicsmakesitpossibletoconsiderdeadtimeandunusualdynamicbehaviorUsingtheleastsquareformulationmadeitpossibletosolvecomplexmultivariablecontrolcalculationsquickly2/25/20012IndustrialProcessContro

3、lDynamicMatrixControl-IntroductionConsiderthefollowingfurnaceexample(Cutlet&Ramaker)MVFuelflowFICDVInlettemperatureTICVOutlettemperatureTIC2/25/20013IndustrialProcessControlDynamicMatrixControl-IntroductionThefurnaceDMCmodelisdefinedbyitsdynamiccoefficientsResponsetostepch

4、angeinfuel,aResponsetostepchangeininlettemperature,b2/25/20014IndustrialProcessControlDynamicMatrixControl-IntroductionDMCDynamiccoefficentsResponsetostepchangeinfuel,aResponsetostepchangeininlettemperature,b2/25/20015IndustrialProcessControlDynamicMatrixControl-Introducti

5、onTheDMCpredictionmaybecalculatedfromthosecoefficientsandtheindependentvariablechanges2/25/20016IndustrialProcessControlDynamicMatrixControl-IntroductionFeedforwardpredictionisenabledbymovingtheDVtothelefthandside2/25/20017IndustrialProcessControlDynamicMatrixControl-Intro

6、ductionPredictedresponsedeterminedfromcurrentoutlettemperatureandpredictedchangesandpasthistoryoftheMVsandDVsDesiredresponseisdeterminedbysubtractingthepredictedresponsefromthesetpointSolveforfutureMVs--OverdeterminedsystemLeastsquarecriteria(L2norm)VerylargechangesinMVsno

7、tphysicallyrealizableSolvedbyintroductionofmovesuppression2/25/20018IndustrialProcessControlDynamicMatrixControl-IntroductionControllerdefinitionPredictionhorizon=30timestepsControlhorizon=10timestepsInitializationSetCVpredictionvectortocurrentoutlettemperatureCalculateerr

8、orvector2/25/20019IndustrialProcessControlDynamicMatrixControl-IntroductionLeastsquaresfo