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1、Experiment3:MATLABanalysisofdynamicsystems1.Moderncontrolsystems,eleventhedition,p210Determineastatevariablerepresentationforthefollowingtransferfunction(withoutfeedback)usingthessfunction:(a)(b)(c)(1)num=[1];den=[125];[A,B,C,D]=tf2ss(num,den)(2)num=[3103];den=[185];[A,B,C,D]=tf2ss(num,den)(3)num=[
2、110];den=[1331];[A,B,C,D]=tf2ss(num,den)(1)A=-25B=1C=1D=0(2)A=-8-510B=10C=-14-12D=3(3)A=-3-3-1100010B=100C=0110D=02.Moderncontrolsystems,eleventhedition,p210Determineatransferfunctionrepresentationforthefollowingstatevariablemodelsusingthetffunction.(a)(b)(c)(a)A=[01;24];B=[01]';C=[10];[num,den]=ss
3、2tf(A,B,C,D)(b)A=[110;-204;6210];B=[-101]';C=[010];[num,den]=ss2tf(A,B,C,D)(c)A=[01;-1-2];B=[01]';C=[-21];[num,den]=ss2tf(A,B,C,D)(a)num=001.0000den=1.0000-4.0000-2.0000(b)num=006.0000-48.0000den=1.0000-11.00004.0000-36.0000(c)num=01.0000-2.0000den=1213.Partial-fractionexpansionwithMATLAB.Considert
4、hefollowingtransferfunction(a)Obtainthepartial-fractionexpansionwithMATLAB.(b)Convertthepartial-fractionexpansionbacktothepolynomialratio.(a)num=[11];den=[3125];[r,p,k]=residue(num,den)(b)num=[11];den=[3125];[r,p,k]=residue(num,den)[num,den]=residue(r,p,k)printsys(num,den,'s')(a)r=0.1667-0.0482i0.1
5、667+0.0482ip=-0.1667+2.8819i-0.1667-2.8819ik=[](b)num=0.33330.3333den=1.00000.33338.3333num/den=0.33333s+0.33333------------------------s^2+0.33333s+8.33334.Moderncontrolsystems,eleventhedition,p125DeterminethepartialfractionexpansionforV(s)andcomputetheinverseLaplacetransform.ThetransferfunctionV(
6、s)isgivenbynum=[400];den=[18400];[r,p,k]=residue(num,den)[num,den]=residue(r,p,k)printsys(num,den,'s')r=0-10.2062i0+10.2062ip=-4.0000+19.5959i-4.0000-19.5959ik=[]num=0400den=1.00008.0000400.0000num/den=400---------------s^2+8s+4005.FindingzerosandpolesofwithMATLAB.Considerthefollowingsystemdefinedb
7、y(a)Obtainthezeros(z),poles(p)andgain(K).(b)Yieldtheoriginalfromtheresultof(a).(a)num=[2110];den=[32114];[z,p,k]=tf2zp(num,den)(b)num=[2110];den=[32114];[z,p,k]=tf2zp(num,den);[num,den]=zp2tf(z,p,k)printsys
