自动控制原理外文作业ch2

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1、自动控制原理外文作业Ch21..AcircuitsystemisshowninFigure2丄Plottheblockdiagramandfindthetransferfunction"'厂oS(s)Figure2.12.Theunit-stepresponseofasystemisy(0=l+0.2严-1.2严(l)FindoutthetransferfunctionofthesystemY(s)//?(s).(2)Determinethecharacteristicequationofthesystem.(3)Findouttheclosed-looppolesofthissecond

2、・ordersystem.3.AcontrolsystemisshowninFigure2.2,plotthesignalflowgraphandfindthetransferfunctionbyMasonrule.Figure2.21•SolutionBasedondifferentialequationi⑴二你⑴/RTheLaplacetransfer5G)=q(£)-t/2(s)I(s)=Ur(s)]RU2(s)=I(s)/scPlotblockdiagram2.Solution(l)becausey(e)丄s5+601.2$+105+10)(5+60)=①(s)JR(s)so①($

3、)r(5)R(s)600(5+10)(5+60)(2)closedloopcharacteristicequationD(s)=s2+70$+600=0(3)closedlooppoles:耳=-10,52=-603・SolutionThesignalflowgraphisForwardpathgain/]=G4G2G3,P2=G1G2G3Twoaloneclosed-loopgainL,=-G3H2,L2=-GlG2G3W1△=1+G3H2+G1G2G3H1△严「1Therefore鬆-十G4G2G3+G1G2G31+G3H2+G1G2G3H1