Closed-loop identification with a quantizer

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1、JournalofProcessControl15(2005)729–740www.elsevier.com/locate/jprocontClosed-loopidentificationwithaquantizerab,*cM.Wang,N.F.Thornhill,B.HuangaCentreforProcessSystemsEngineering,ImperialCollegeLondon,PrinceConsortRoad,LondonSW72BYbDepartmentofElectronicandElectricalEngineering,Universit

2、yCollegeLondon,TorringtonPlace,LondonWC1E7JEcDepartmentofChemicalandMaterialsEngineering,UniversityofAlberta,Edmonton,Alberta,CanadaT6G2G6Received15September2003;receivedinrevisedform7June2004;accepted4October2004AbstractThispaperproposesanewclosed-loopidentificationschemeforasingle-inp

3、utsingle-output(SISO)controlloopbaseduponaquantizerinsertedintothefeedbackpath.Thequantizercanbeusedtogenerateanequivalentpersistentlyexcitingsignaltowhichthewellknowntwo-stagemethodofclosed-loopidentificationcanbeapplied.Thepaperexaminestheperformanceandbehaviourofthequantizer-basedclo

4、sed-loopidentificationandgivessuggestionsforthechoiceofquantizerinterval.Simulationandexper-imentalexamplesareusedtoillustratetheproposednewCLIDscheme.Ó2005ElsevierLtd.Allrightsreserved.Keywords:Chemicalprocess;Closed-loopidentification;Frequencyresponse;Quantization;Persistentlyexciting

5、;PIDcontrol;Powerspectrum;Processcontrol;Processmonitoring1.Introductionsignalsothatthetwo-stagemethodbyVandenHofandSchrama[3]canbeuseddirectlyforidentification.AprocessmodelisusefulfortuningofclassicalPIDAbenefitoftheproposedCLIDschemeisthattherecontrollersandnecessaryformodel-basedproc

6、esscon-isnorequirementforexternalexcitation,anactivitythattrol.Thepurposeofclosed-loopidentification(CLID)requiresdesignandgenerationofapersistentlyexcitingistoidentifyaprocessmodelwhiletheprocessisstillsignalorofharmonicsignalsatselectedfrequencies.underfeedbackcontrol[1].Closed-loopid

7、entificationRather,thequantizerintervalisadjustedonthebasismightbenecessarybecausethesystemisunstableinofroutinemeasurementsofthesignalswithintheclosedopenlooporthesystemcontainsinherentfeedbackloopsothatthedisturbancecausedbyquantizationmechanisms[2],butinmostcasesCLIDispreferredbeco