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1、SHORTPAPERS837systemswithexamplesarepresentedinSection111.ItisshowninInmosttheoreticalanalysesofdifferentidentificationmethodsoneSectionIVthatleastsquareidentifiabilityimpliesidentifiabilityintermsassumptionisopen-loopoperation.Itisthereforeimportanttoinvesti-ofdistinguishabi
2、lityandviceversa.ResultsfornonlinearsystemswithgatewhenitisactuallypossibletoobtainreliableresultsifasystemexamplesaregiveninSectionV.operatinginclosedloopisidentified.Such’analysishasbeenperformed,Onlydeterministicsystemshavebeenconsidered,ifthesystemsinfacte.g.,bytheauthors
3、in[I].Itwasprovedthataregulatorconsistingofcontainunobservednoisesourcesthenoutputdistinguishabilityhastoshiftsbetweendifferentlinearfeedbacklawswill,ingeneral,implybeinterpretedinastochasticsense.Iftheonlynoisesourceisadditiveidentifiability.Thepurposeofthisshortpaperistogen
4、eralizethewhitenoiseontheobservationthentheresultswillbeessentiallytheanalysistoincludenoisesourcesintheregulatorandexternalinputsame,exceptthatitmaybenecessarytomakerepeatedexperiments.Onsignalsinordertoobtainacriterionforidentifiabilityforaquitegeneraltheotherhand,ifthereis
5、drivingnoise,identifiabilityresultswillbeconfiguration.substantiallydifferent.11.BASICCONCEPTSACKNOWLEDGMENTTheresultofanidentificationexperimentdependsclearly,e.g.,ontheprocess,thefeedbackstructure,thechoiceofmodelstructure,andtheTheauthorswishtothankG.A.BekeyoftheUniversity
6、ofSouthernidentificationmethod.Theseitemswillnowbespecified.CaliforniaandH.J.PayneofTechnologyServiceCorporation,LosTheystem,denotedby5,willbeassumedtobelinear,timediscrete,Angeles,foradviceandmanyhelpfulsuggestions.stochastic,andgiveninthegeneralformy(t)=G,(q-’)u(t)+H,(q-’)e
7、(r).(1)REFERENCESTheoutputy(t)isavectorofdimension5andtheinputu(t)hasM.S.Grewal,“Modelingandidentificationoffreewaytrafficsystems,”Ph.D.dissertation,Dep.Elec.Eng.,Univ.SouthernCalifornia,LosAngeles,1974.dimensionnu.Thevariables{e(t))areasequenceofindependent,M.S.Grewal,G.A.Be
8、key,andH.J.Payne,“Parameteridentifiabilityofdynami-randomvectorswith
