自控原理习题.docx

该【自控原理习题 】是由【天随人愿的夏天】上传分享，文档一共【12】页，该文档可以免费在线阅读，需要了解更多关于【自控原理习题 】的内容，可以使用淘豆网的站内搜索功能，选择自己适合的文档，以下文字是截取该文章内的部分文字，如需要获得完整电子版，请下载此文档到您的设备，方便您编辑和打印。****题一Thedifferentialequationofasystemshownbelow,hetransferfunctionY(s)/R(s),Y(s)/N1(s),Y(s)/N2(s).x1(t)r(t)y(t)n1(t)x2(t)3x1(t)x3(t)x2(t)x5(t)2dx4(t)x(t)dt3x5(t)x4(t)n2(t)10x5(t)d2y(t)dy(t)(t)hasTp=and=2%.R(s)-K1 Y(s)s(s+1)K2s+1Figure2theinputsignalofthesystemist,r(t)1(t)themeasuredoutputresponsefory(t)().(1)hesystemtransferfunctionY(s) .R(s)Foraunitstepinputandaunitrampinput,calculatethesteady-(s))s(sUsingtheRouth-Hurwitzcriterion,findthevalueofthegainKwhentheclosed-=-(s1)G(s)1)2(s(1)Sketchtherootlocusoftheclosed-loopsystem.(2)herangeofKforstability.(3),(w)dB L(w)dB-20dB/dec-20dB/dec12-40dB/dec0w04001104200(a)(b)-40dB/decL(w)dBL(w)dB-20dB/dec-40dB/dec-40dB/dec10-20dB/ww-20dB/dec-40dB/dec-40dB/dec(c) (d)Aunityfeedbackcontrolsystemhasaplant10(s1)G(s)s(s1)(s1)30PlottheBodediagramofG(s).,(s)Ks(s 2K).(1)whenr(t)=tandn(t)=t,determineallsteady-stateerrorofthesystem.(2)whenr(t)=1(t)andn(t)=0,he ,Gc(s)=-stepresponseofaunityfeedbacksystemy(t) 1 (1)FindthetransferfunctionofthesystemY(s).R(s)(2)Findtheopen-looptransferfunctionG(s).unityfeedbacksystemhasaplantK(Ts1)G(s)H(s),(K0,T0)s(s10)(1)whenT=1,Sketchtherootlocusfor0<K<.FindtherangeofKwhenallrootsarenegativerealparts.(2)whenK=10,sketchtherootlocusfor0<T<.-looptransferfunctionG(s)H(s)havenopolesontherighthalfs-plane,-loopcontrolsystemshowninFigure7.(1)DrawtheBodeplotoftheopen-looptransferfunctionG(s).(2)Calculatethephasemargin.(3)Provethephaseis-180°when 、AcontrolsystemisshowninFigure(a)and(b),findthetransferfunctionY(s)E(s)(D(s)0),(D(s)0),R(s)R(s)Y(s)(R(s)0),D(s)D(s)R(s) E(s) Y(s)G1(s) G2(s)H(s)Figure (a)D(s)Gd(s)R(s)E(s)++Y(s)-GC(s)G(s)-H(s)Figure (b)二、AunityfeedbacksystemhasaplantG(s)K(s1)2.(1)(s)whenK4;(2)Calculatethephaseandmagnitudeat1;(3)herangeofKforwhichthesystemisstable;(4)Calculatethesteady-stateerroressforinputr(t)、AcontrolsystemisshowninFigure,WhereGC(s)=1+KIs,GP(s)=(s 2)R(s)E(s)Gp(s)Y(s)GC(s)--KtSFigure(1)Toassurethesystemisstable,heconditionthatKI,Ktshouldsatisfy;(2)WhenKI=0,Kt0,hevalueofKtwhenthepercentovershoot%)is%;(POe12)..%(3)Fortheconditionof(2),findthetimeresponsey(t)forastepinputr(t)=A,fort>0;(4)WhenKI 0,Kt 0,findthesteady-stateerroressforinputr(t)=10+、 AunityfeedbacksystemhasaplantKG(s)4)2s(s(1)Sketchtherootlocusfor0<K<;(2)hevalueoftherootsonthejaxisandthegainKrequiredforthoseroots;herangeofK,、Theopen-loopbode plotofaunityfeedbacksystemareshownin.(1)Findtheopen-looptransferfunctionG(s);.(2)hephasemarginandgainmargin;.(3)WhenK=20,whetherthesystemisstable;.L( )dB-20dB/dec14-40dB/ 1 --60dB/dec( )0o-90o-180o-270oFigure6六、Theunityfeedbacksystemhasopen-looptransferfunction,G0(S)100s( 1)ThebodeplotofGc(s)G0(s) isshownin.(1)c(s)(2)Whenwg ,(s)/R(s).R(s)1-.--sK1Ks2 .Y(s)(s)-Y(s)Ks(s+β)Figure2(1)ShowthepermissibleareaforthepolesofY(s)/R(s)inordertoachieve ≤and%ts≤4s.(2)When ζ=and=10,hevalueofKand β.(3)hesteady-(s)15T(s)s28s15R(s))G(s)((s1)2(s1).(1)Sketchtherootlocusofq(s)=1+G(s)=0.(2)herangeofKforstability.(3)FindthevalueofthegainKwhens=0andotherrootsofthecharacteristicequation.