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文件名称：内容文稿time response aer509ryerson university课件.pptx
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总页数：38 页
更新时间：2025-03-23
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文档摘要

TimeResponsePolesandZerosFirst-ordersystemsSecond-ordersystemsHigh-ordersystems1AER509:RyersonUniversity

1.PolesandZeros2AER509:RyersonUniversity

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5AER509:RyersonUniversityNaturalorForcedor

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Typicaltestinputs7AER509:RyersonUniversity

2.First-ordersystemsWecanrewriteresponseas:TimeConstant:63%ofthefinalvalueat8AER509:RyersonUniversity

Risetime:10%to90%Settlingtime:Reachto98%e.g.Determinethesystemparametersthroughexperiment9AER509:RyersonUniversity

2.Second-orderSystemsSeriesRLCcircuit:v-i10AER509:RyersonUniversity

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Second-OrderStepResponseClickhereforInteractiveAnimationControlSystemsEngineering,5thEditionNormanS.Nise,CaliforniaStatePolytechnicUniversity12AER509:RyersonUniversity

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17AER509:RyersonUniversityωd

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Characteristicsofunderdampedsystems19AER509:RyersonUniversityωd

DerivedParametersusedtospecifytheresponsePeaktimeTp:Thetimerequiredtoreachthefirstmaximumpeak.Percentovershoot,%OS:TheamountthattheresponseexceedsthefinalvalueatTp.SettlingtimeTs:Thetimerequiredfortheoscillationstodiedownandstaywithin2%ofthefinalvalue.RisetimeTr:Thetimetogofrom10%to90%ofthefinalvalue.20AER509:RyersonUniversity

21AER509:RyersonUniversityDetailedinpage179

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Relationshipbetweenthe%OSanddampingratio23AER509:RyersonUniversity

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DesignExample:FindJandDtoyield20%OSandasettlingtimeof2seconds.AER509:RyersonUniversity26D=1.04,J=0.26

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RelationshiptoPolePlot28AER509:RyersonUniversity

29AER509:RyersonUniversityTs2Ts1XX

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