自控原理习题.doc

《自控原理习题.doc》由会员上传分享，免费在线阅读，更多相关内容在行业资料-天天文库。

1、习题一1.Thedifferentialequationofasystemshownbelow,trytoestablishthedynamicstructurediagramofthesystemanddeterminethetransferfunctionY(s)/R(s),Y(s)/N1(s),Y(s)/N2(s).2.AFeedbackcontrolsystemhasthestructureshowninfigure2.DeterminetheK1andK2sothattheunitstepresponsey(t)hasTp=0

2、.5sandP.O=2%.Figure23.Whentheinputsignalofthesystemis,themeasuredoutputresponsefor.12(1)Determinethesystemtransferfunction.(2)Foraunitstepinputandaunitrampinput,calculatethesteady-stateerrorrespectively.4.Anegativefeedbacksystemhasalooptransferfunction.(1)UsingtheRouth-H

3、urwitzcriterion,findthevalueofthegainKwhentheclosed-loopsystemhastwopolesontheimaginaryaxis.(2)FindthevalueofthegainKwhens=-3andotherrootsofthecharacteristicequation.5.Aunityfeedbacksystemhasaplant(1)Sketchtherootlocusoftheclosed-loopsystem.(2)DeterminetherangeofKforstab

4、ility.(3)FindthegainKatthebreakawaypoint.6.Logarithmamplitudefrequencycharacteristiccurveofminimumphasesystemsshownbelow,writeoutthesystemtransferfunctionrespectively.127.Aunityfeedbackcontrolsystemhasaplant(1)PlottheBodediagramofG(s).(2)DeterminethephasemarginPMandgainm

5、arginGM.(3)PlotthepolarplotandMarkGM,PMonthethismap.12习题二1.Aunitynegativefeedbackcontrolsystemhastheplant(1)Determinethepercentovershootduetoaunitstepinput.(2)ForwhatrangeofKisthesettlingtimelessthan1second?2.Acontrolsystemisshowninfigure2.(1)whenr(t)=tandn(t)=t,determin

6、eallsteady-stateerrorofthesystem.(2)whenr(t)=1(t)andn(t)=0,determinetheP.OandTs.Figure23.Acontrolsystemshowninfigure3.onecontrolleristheproportionalcontroller,Gc(s)=Kp.determinetherangeofKpofstablesystem.Figure34.Theunit-stepresponseofaunityfeedbacksystem(1)Findthetransf

7、erfunctionofthesystem.12(2)Findtheopen-looptransferfunctionG(s).5.Aunityfeedbacksystemhasaplant(1)whenT=1,Sketchtherootlocusfor0

8、pen-looptransferfunctionG(s)H(s)havenopolesontherighthalfs-plane,theirpolarplotsshowninfigure6.Pleasean