Identification of continuous-time systems

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1、Identificationofcontinuous-timesystemsG.P.RaoandH.UnbehauenAbstract:Systemidentificationisawell-establishedfield.Itisconcernedwiththedeterminationofparticularmodelsforsystemsthatareintendedforacertainpurposesuchascontrol.Althoughdynamicalsystemsencounteredinthephysicalworldarenativetothecontinuous-t

2、imedomain,systemidentificationhasbeenbasedlargelyondiscrete-timemodelsforalongtimeinthepast,ignoringcertainmeritsofthenativecontinuous-timemodels.Continuous-time-model-basedsystemidentificationtechniqueswereinitiatedinthemiddleofthelastcentury,butwereover-shadowedbytheoverwhelmingdevelopmentsindisc

3、rete-timemethodsforsometime.Thiswasduemainlytothe‘gocompletelydigital’trendthatwasspurredbyparalleldevelopmentsindigitalcomputers.Thefieldofidentificationhasnowmaturedandseveralofthemethodsarenowincorporatedinthecontinuoustimesystemidentification(CONTSID)toolboxforusewithMatlab.Thepaperpresentsapers

4、pectiveofthesetechniquesinaunifiedframework.1IntroductionThesystemidentificationproblem,characterisedbyZadeh[15]intermsofthreeentities:aclassofmodels,aItisessentialtoknowandunderstandanobjectbeforeweclassofinputsignalsandacriterion,isdepictedinFig.1.venturetohandleit.AnobjectformallyreferredtoasaSy

5、stemidentificationwillbesuccessfulandtheresultssystemisknownthroughmodellingandidentificationandusefuliftheproblemiswellposedintermsoftheseentities.canbeunderstoodbyanalysis.ModellingandidentificationTheclassofmodelsshouldbeappropriateandthesetoftechniqueshelpdevelopknowledgeaboutasystem.Theysignals

6、shouldbeilluminativeenoughtorevealimportantareprerequisitestomanypracticesinengineeringandtech-systemcharacteristics,thathavethepropertyofpersistentnologyandareespeciallyimportantinthefieldofautomaticexcitationrelativetothemodelclass.Aclassificationofcontrol.Modellingbyitselfisavastarearichinahosto

7、fthemainmethodsintooutputerror(OE),equationerrorwell-establishedmethods,whicharebasedonavarietyof(EE),predictionerror(PE)methodsetc.isaccordingtoprinciples.Amongthem,modellingofphysicalsystemstheerrorminimisationcriter