预测控制最新算法综述_李书臣

Vol.16No.6JOURNALOFSYSTEMSIMULATIONJune2004•1314•1.2,1,21,1100042,113001:1004-731X(2004)06-1314-06TP273AAnOverviewofNewAlgorithmsinPredictiveControlLIShu-chen1.2,XUXin-he1,LIPing2(1InstituteofArtificialIntelligenceandRobotics,NortheasternUniversity,Shenyang110004,China;2SchoolofInformationEngineering,LiaoningUniversityofPetroleum&ChemicalTechnology,Fushun113001,China)Abstract:Withthewideapplicationsofpredictivecontrolintheindustrialprocesscontrol,theresearchofalgorithmandtheoryaboutthepredictivecontrolhasalsoachievedgreatdevelopment.Inthispaper,thealgorithmsonthemodelpredictivecontrolandnonlinearmodelpredictivecontrolaresurveyed,includingthecharacteristicsofalgorithms.Meanwhile,theexistingproblemsandresearchdirectionsareindicated.Keywords:modelpredictivecontrol;nonlinearpredictivecontrol;constraints;optimization1(MACDMCGPC)MPCMPCNLMPCMPCCMPC[1-4]MPCNLMPC1MPC1.1ClarkeGPC2003-04-262003-07-07(1960-),,,,,;(1940-),,,,,,,;(1964-),,,,,[5-8]1.2[9][10-13]Vol.16No.6June2004,•1315•[14]1.3/[15][16][17]/[18]1.4[19][20][21]QDMCSISO[22]1.5[23]CGPCCGPCGPCGPC[24]CGPCMIMO[25]CGPCCIGPC[26]LQCGPC[27]Diophantine[28]Lyapunov[29]1.6IDCOMQDMC[30][31]CARIMA[32]MPC[33][34][35][36]1.7CMMO[37][38]Vol.16No.6June2004•1316•[39][40]1.81.9[41][42-45][40][46][47]2NLMPC2.1NLMPC[45,48]2.2NLMPCVolterraHammersteinWienerVolterraVolterraVolterraVolterra[49]VolterraMPC[50,51]Volterra[52]VolterraVolterra[53]NLMPCVolterraNLMPCHammersteinPHHammerstein[54~55][56][57]HammersteinVienerWiener[58]WienerNLMPCPH[59]HammersteinWienerNLMPCEGAVolterra[60]2.3NLMPCVol.16No.6June2004,•1317•NLMPC[61-63]NLMPC[64-66][67]RBFCNLSNLMPC[68][69,70]NLMPC[71]2.4NLMPC[72]QDMCQDMC[73][74]DMCDMCDMC[75]MPCNLMPCNLMPCQDMC2.5NLMPCMHEMHE[76,77]MHE[7879]MPCSM2.6MPC[80]MPCMPCTMPCMPCMPCMPC[81]2.7MPC[82]T[83]MPC2.8∞H[84]MPCMPC∞HMPC2.9LMIMPC[85]LMIMPCmin-maxmin-maxLMImin[86]MPC[87,88]min-maxMPC[89]MPC[90]MPCCSMPC[91]33.1LMPCMPC(1)(2)MPCMPCMPCPID3.2NLMPCVol.16No.6June2004•1318•NLMPC(1)NLMPCNLMPCNLMPC(2)(3)NLMPCNLMPC(4)NLMPCNLMPC(5)NLMPCNLMPC4[92]LMPCNLMPC[1]Henson,MichaelA.Nonlinearmodelpredictivecontrol:currentstatusandfuturedirections[J].Computersa&ChemicalEngineering,1998,23(2):187-202.[2]QinSJ,BadgwellTA.Anoverviewofindustrialmodelpredictivecontroltechnology[C].AIchESymposiumSeries:FifthInternationalConferenceonChemicalProcessControl,California,1996,316(93):232-256.[3],,.[J].,2001,16(4):385-391.[4],,.[J].,2000,17(4):469-475.[5]KaragianisD,AstolfiA.Tworesultsforadaptiveoutputfeedbackstabililizationofnonlinearsystems[J].Automatica2003,39(7):857-866.[6]PickhardtR.Nonlinearmodellingandadaptivepredictivecontrolofasolarpowerplant[J].ControlEngineeringPractice,2000,8(8):937-947.[7]FinkA,FischerM,NellesO,IsermannR.Supervisionofnonlinearadaptivecontrollersbasedonfuzzymodels[J].ControlEngineeringPractice,2000,8(10):1093-1105.[8]ÖzkanL,ÇamurdanMC.Modelpredictivecontrolofanonlinearunstableprocess[J].ComputersandChemicalEngineering,1998,22(5):S883-S886.[9]LelicMA,ZarropMB.GeneralizedPole-placementSelf-TuningControlPart1.BasicAlgorithm[J].IntJControl,1987,46(2):547-568.[10],.[J].,1989,4(4):56-59.[11]PengL,FisherG,ShanSL.TuningGeneralizedPredictiveControlUsingaPole-placementCriterion[C].1992,ACC/TP8:2391-2395.[12]KohEK.GeneralizedPolePlacementforSystemsRequiringFastSampling[C].1992,ACC/WMT:713-714.[13]YangY,GaoF.Adaptivecontrolofthefillingvelocityofthermoplasticsinjectionmolding[J].ControlEngineeringPractice,2000,8(11):1285-1296.[14]GawthropPeterJRonco.Predictivepole-placementcontrolwithlinearmodels[J].Automatica,2002,38(3):421-432.[15],,.[J].,1992,9(5):500-505.[16],.[J].,1998,13(3):206-211.[17],,.[J].,2002,17(4):402-406.[18],.[J].,1995,21(2):129-136.[19]ScattoliniR.Multi-RateSelf-TuningPredictiveControllerforMultivariableSystems[J].IntJSystemsSci,1992,23(8):1347-1359.[20]OgataK,FujiiS,HayakawaY.MultivariableGeneralizedPredictiveControlwithMultiratesamplingModel[C].TransactionsoftheSocietyofInstrumentandControlEngineers(inJapanese),1993,29(1):39-45.[21]GopinathRS,BequetteBW.MultiratemodelPredictiveControlofUnconstrainedSingleInput-SingleOutputProcess[C].1992,ACC:2042-2046.[22]BequetteBW.NonlinearPredictiveControlUsingMulti-rateSampling[J].TheCanadianJournalofChemicalEngineering,1990,68(2):136-143.[23]GawthopPJ,DemireiogluH.Continous-TimeGeneralizedPredictiveControl(CGPC)[J].IFACSymposiumonAdaptiveSystemsinControlandSignalProcessing,Glasgow,UK,1989,67-72.[24]OgataK,FujiiS,HayakawaY.TheSimplificationofComputationandtheImprovementofTrackingPerformanceintheContinuous-timeGeneralizedPredictiveControl[C].TransactionsoftheSocietyofInstrumentandControlEngineers(inJapaneses),1993,29(2):188-193.[25],,.CIGPC[J].,1993,10(4):361-366.[26]DemirciogluH,ClarkeDW.CGPCwithGuaranteedStabilityProperties[J].IEEProceedings-D,1992,139(4):371-380.[27],.[J].,1998,24(6):721-726.Vol.16No.6June2004,•1319•[28]CannonM,KouvaritakisE.Infinitehorizonpredictivecontrolofconstrainedcontinuous-timelinearsystems[J].Automatica,2000,36(7):943-955.[29],,.[J].,2000,4(4):227-238.[30]Abou-JeyabRA,GuptaYP.Constrainedmultivariablecontrolofadis