linear_control_systems_engineering(线性控制系统工程)_英文原版答案

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1、SolutionsManualtoAccompanyHomeworkForLinearControlSystemEngineeringLiuSijiuHIT651Copyright2006P1-2RedesigntheturbinespeedcontrolsystemdiscussedinSampleProblem1.1,butreplacethefly-ballgovernorwiththetachometershowninFig.1.2.AtachometerconsistsbasicallyofasmallDCmotoroperatedinrever

2、seasagenerator,theshaftbeingrotatedcontinuously,producingaDCvoltageproportionaltoshaftspeed.Solution2P1-4.ShowninFig.P1.4isawater-levelcontrolsystemcomprisingatank,inletpipe,slidevalve,andfloat.Detailsoftheoperationoftheflowvalvearealsoshowninthefigure.Drawablockdiagramofthefeedba

3、ckcontrolsystemandidentifythemainelements,writingdownthemathematicaltransferfunctionswhereappropriate.SolutionP1-5AmethodofproducingadisplacementproportionaltoaninputdisplacementbutwithamuchlargeroutputforceisshowninFig.P1.5.Theinputdisplacementxcausesthemovementofthespoolvalvetop

4、roduceadifferentialflowtothehydraulicactuator.Drawablockdiagramofthesystem,labeltheprincipalpartsofthecontrolloop,andidentifyasmanyofthetransferfunctionsaspossible.Stateanyassumptionsmadeintheanalysis.Solution3P2-1AsystemunknowntransferfunctionisshowninFig.P2.1.Ifaunitimpulseappli

5、edattheinputproduces−t3attheoutputasignaldescribedbythetimefunction)t(c=e2,determinetheunknowntransferfunction.Solution−t3C2)t(c=e2=>=Rs+3P2-2.Findthesolutionofthedifferentialequation2dxdxdz++8x=+z3dt2dtdt−t2When)t(z=eandallotherinitialconditionsarezero.⎛⎞⎜⎟1s+3⎛1s+C2⎞⎜1s−11⎟1Solu

6、tion)s(Z=⋅2=⎜⎜−2⎟⎟⋅C1=−⋅s+2s+s+8⎝s+2s+s+8⎠⎜s+2s(+1)2+31⎟10⎜⎟⎝24⎠1−t2−t⎛312331⎞)t(y=e1.0−e1.02⎜cost−sint⎟⎜⎝2312⎟⎠P2-3ForthesystemshowninFig.P2.3.,determinetherelationshipbetweenvoltageandcurrent,expressthisrelationshipintheformofatransferfunctionanddeterminethecurrentasafunctionoft

7、imewhenthevoltageisastepchangefromzeroto10V.1CsSolution=,R+sL+/1CsLCs2+RCs+1−610Cs10⋅1010Y)s(===sLCs2+RCs+110−6s2+10−3s+1s2+103s+106−22−500t3−500t)t(y=10esin(1000)t=.001154⋅esin(866)t32P2-8ForthesystemshowninFig2.8determinetheclosed–looptransferfunctionC/R.CG1⎛G2⎞G1+G2Solution=⋅⎜1

8、+⎟=⎜⎟R1+G1H⎝G1⎠1+G1HP2-9Forthesin