自动控制原理课后习题答案(王建辉、顾树生)

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2-1??2-22-32-41Snm234)(sW2-5nnnnmmmmasasasabsbsbsbsW11101110)(njjmiisTsTKsW1111)(nmabKnjjmiigpszsKsW11)(00abKgSizjpKgK2-61R0R1-+uruc2R01/Cs-+urucR03R01/Cs-+uruc4R1/Cs-+uruc562-710RLCucur2-82-92-102-112-122-13P2-1W(s)=Uc(s)/Ur(s)RLCuruc(a)R1Curuc(b)CR2C1uruc(c)C2RRa1I(s)=(Ur-Uc)/(R+Ls)RLS1/CSUc(s)Ur(s)2-1(a-s)IsI(s)Ur-Uc1/(R+Ls)Uc=I(s)(1/Cs)1/CsI(s)UcI(s)Ur-Uc1/(R+Ls)1/CsWB(s)=Uc/Ur=[[1/(R+Ls)](1/Cs)]/[1+[1/(R+Ls)](1/Cs)]=1/[LCs2+RCs+1]=1/[TLTCs2+TCs+1]TL=L/R;TC=RC2CsLsRsUsIr1)()(1)(11)(1)()(2RCsLcssUCsCsLsRsUCssIsUrrc11)()(2RCsLcssUsUrcb1R11/Cs1/CsUr(s)Uc(s)(b)R2I1(s)I(s)I2(s)I1R1R2II22121RRRII2112RRRII2)()(RZsUsIr1///1ZCsZ111111CsRCSCsRZZ2111111111111CsRCsRCsCsRCsCsCsRCsCsZ21)(111)()(111CsRsICsRCsCssIsI2121112122111211221221212)(21)(211)(121211)()(121)()(1)()(RCsCsRRCsRCsCsRsUCsCsRRCsRsURRCsRCsRCssUCsCsRRCsRCsRCssURRZsUCsCsRRZsURsICssIsUrrrrrrc1212212211)()(2122212222112112121CsRCsRsCRRCsRsCRRCsCsRRCsRCsCsRRCsCsRRCsRsUsUrc2111)()()(RsUsUsIcr1)(1)()(11112CsRsICsCsRsIsI)()()(21sIsIsI21)(1)()(RsICssIsUc1R1I1R1Cs+1I2IR21CsUr(s)Uc(s)1R1I1R1Cs+2IR21CsUr(s)Uc(s)nkkkrcTsUsU11)()(baLL12112CsRRRLaCsRLb11CsRCsRCsRCsRCsRCsRRR112111121212121121CsRRRT11CsRT12112121212121212)()(212221222211211211211112CsRCsRsCRRCsRsCRRCsRCsRCsRCsRCsRCsRCsRCsRCsRCsRCsRRRsUsUrc(c)(b)2-14P2-2W(s)=Uc(s)/Ur(s)R1C1uc(b)R0ura01)()(ZZsUsUrc1111111111111sTsCsCRsCsCRZ1111//1000000000000sTRsCRRsCRsCRRsCZ111CRT000CRT111)()(1010sTsTsCRsUsUrcbR1R2uc(c)R0C2C1urR1C1uc(a)C0R0R1C1uc(a)C0R02R3R10II00)(RsUIrsCRRRZsUIc113311)(11111111112111211112sCRRsCRRsCRRRsCRsCRRZ111222131013101133111)()(RsCRRsCRRRsCRRRsCRRRZsUsUrccb2-15P2-3(1)(a)?)()(sXsXrc(2)(b)?)()(sXsXrc(3)(c)?)()(12sXsX(4)(c)?)()(1sFsXR1C1uc(b)R0urR2R3I0I1Xr(t)Xc(t)K1K2B(a)Xr(t)Xc(t)B1B2(b)mX2(t)X1(t)B1B2f(t)(c)2-16P2-4sFKp2-4Mf2-17P2-4(1)Mr(2)Mr1D4MrJ1,f1,?1J2,f2,?2J3,f3,?3D2D1D3Mc2-18P2-6)()()(sUssWrfurP2-6MJRfLfRaLa?2-19P2-7)()()(sWsUsWrcUrP2-7MCLf3~R?MMUcRf2-20P2-8Q1H1Q2R1H2Q3R22-21C1C2P2-9Q)(3sm,q11)(3smq212)(3smq32)(3sm1H1(m)h11(m)2H2(m)h22(m)R11))((3smmR22))((3smm(1)(2)(Q)=(H)/(R)(R)=(h)/(q)11qQR1R211hH22hH2C1C22qQ3qQP2-92-22P2-10u1,T0,qiq0Ti)()()(0sUsTsGtT0q1u1T1q0P2-102-23P2-11TiQ1T1Q2T2VT0()T2=T0Q2=Q1=Q(Q)()P2-11VT0Q1T1Q2T2Ti2-24)()()()()]()()([)()]()()()[()()()]()()[()()()(3435233612287111sXsWsXsWsWsXsXsXsXsWsXsWsXsXsWsWsWsWsXsXcccr1X1(s)=Xr(s)W1(s)-W1(s)[W7(s)-W8(s)]Xc(s)W1(s)Xr(s)Xc(s)W7(s)-W8(s)-X1(s)2.X2(s)=W2(s)[X1(s)-W6(s)X3(s)]-X1(s)X3(s)X2(s)W6(s)W2(s)3.X3(s)=[X2(s)-Xc(s)W5(s)]W3(s)-X2(s)Xc(s)X3(s)W5(s)W3(s)4.Xc(s)=W4(s)X3(s)X3(s)Xc(s)W4(s)L11=W1(s)W2(s)W3(s)W4(s)[W7(s)-W8(s)]L12=W3(s)W4(s)W5(s)L13=W2(s)W3(s)W6(s)L2=0T1=W1(s)W2(s)W3(s)W4(s)1=1=1+W1(s)W2(s)W3(s)W4(s)[W7(s)-W8(s)]+W3(s)W4(s)W5(s)+W2(s)W3(s)W6(s)6325438743214321111)()()((s)Xr(s)Xc(s)W7(s)-W8(s)-X1(s)-X3(s)W6(s)W2(s)-X2(s)Xc(s)X3(s)W5(s)W3(s)Xc(s)W4(s)2-25P2-12P2-13P2-12XrXcW1W2H2H1P2-12P2-12XrXcW1H2H1W21/W2P2-12XrXcW1W2H1+H2-1/W211/1122121212212121HWH)()()(1sXsXsWrc)()()(2sXsXsWdcP2-14XrXcW1H2W2XdH1H3P2-13XrXcH2H1W3W2H21/W3W11/W1P2-13XrXc1+W3H2W2H21/W31+W1H11/W1W1W31W1(s)=Xc(s)/Xr(s)Xd=0W1H3H2XcXr_W2+W1H3XcXr_W2/[1-W2H2]W1(s)=Xc(s)/Xr(s)=[W1W2]/[1-W2H2+W1W2H3]2.nkkkdcTXX11baLL1321HWWLa22HWLb223211HWHWW21WT,11,1212HWWT,122232112121WWHWWH(s)=[Z1/R0](Ur(s)+Uc(s))U2(s)=U1(s)/[R2C2s]Uc(s)=[R4/R3]U2(s)Z1=R1//(1/C1s)=R1/[T1s+1]T1=R1C1R2C2=T2R1/R0=K10R4/R3=K43WB(s)=Ur/Uc=[K10K43]/[T2s(T1s+1)+K10K43]2-29P2-17cfrruu,rcNi-+-+-+1/C2sR0R0R1R2R3R4ucur1/C1su1u2UrUcU2U1+-Z1/R0-1/[R2C2s]-R4/R32-30P2-18)()()(sXsXsWrcr)()()(sXsXsWdcdnkkkrcrTXXsW11)(cbaLLL132321HH)()()(HWHHWWHH)(cbaLLL132321HH)()()(HWHHWWHH)()(11sXsXrc)()(22sXsXrcW1W2W3W4Xc1Xc2Xr1Xr2(a)Xc1Xr1Xr2Xc2W1W2W3W4R1R2R3R4(b)3-13-23-33-43-53-63-73-83-93-10)1(1)(sssWk1;,,%,srtt2xrt=t3xr(t)1)2()1(1)(2nnksssssW12n1n12n5.0%3.16%100%100%225.015.01ee21nrt)(0472.15.0arccosarccosrad)(42.25.010472.114.3122stnr%)5()(65.033stnsfstt)(255.7866.02122stnf827.0255.762xrt=t21)(ssXr222221)(nnncssssX22222232222322222222)2()2()(2222)(nnnnnnnnnnnnnncsssAsBAsBDAsCBsssDsCsssBsAsAAsssDCssBsAsX1A1AB,1C,0D111211)(22222sssssssssssXnnc05.06023sin321)(tettxtc3)()(ttxr1)(sXr11)(2sssXc05.06023sin32)(tetxtc3-11)1()(ssKsWkkxm=1.25tm=1.5skk1.2511.5xc(t)tOtmxmnnkkkssssKssKsW21)1()(2knK212n21%25%e4.05.143.34.011415926.3122nnnmt287.2n547.0287.24.02121n861.2287.2547.022nkK3-12)2()(2nnksssWxr(t)=1(t),,4.04.1)(73.307.1tte

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