C2SC1S11?1?R2uc(s)C2SC1SC2S1(a)???ur(s)R1R2C1C2S2?(R1C1?R1C2?R2C2)S?1(R2?1)1R2?1C2SC1SC2SR1?1?1?R2CSC1S2.uc(s)uc(s)uc(s)u1(s)u1(s)C1S1111(b)??,?,????ur(s)R1?1R1C1S?1u1(s)R2C2S?1ur(s)u1(s)ur(s)R1C1S?1R2C2S?1C1S1?2RRCCS?(R1C1?R2C2)S?1 1212
故所给网络与两个RC网络的串联不等效。
1(R2?1)12-4 某可控硅整流器的输出电压
Ud=KU2Φcosα
式中K为常数，U2Φ为整流变压器副边相电压有效值，α为可控硅的控制角，设在α在α0附近作微小变化，试将Ud与α的线性化。
解答：
ud?ku2?cos?0?(ku2?sin?0)(???0)?...线性化方程：?ud??ku2?sin?0???.
即ud??（ku2?sin?0)?
2-9系统的微分方程组为
x1(t)?r(t)?c(t)dx(t)T12?K1(t)?x2(t)dtx3(t)?x2(t)?K3c(t)dc(t)T2?c(t)?K2x3(t)dt
T2、K1、K2、K3均为正的常数，式中T1、系统地输入量为r(t)，输出量为c(t)，
C(s)R(s)。 试画出动态结构图，并求出传递函数
解答： R(s)X2(s)X1(s)X3(s)C(s)K1 1?T1s?1?Js2?fsk3
k1k2(T1S?1)(T2S?1)k1k2C(s)??k1k2R(S)1?k2k3?(T1S?1)(T2S?1)?k2k3(T1S?1)?k1k2T2S?1(T1S?1)(T2S?1)
C(s)R(s)。
C2-12 简化图示的动态结构图，并求传递函数
解答：(a) R G1 ??G2H1G3H2 R ?G1G2G31?H1G2G3CH2RG1G2G31?G1G2G3H2?G2G3H1
C
G1G2G3C(S)?R(S)1?G1G2G3H2?G2G3H1
(b)
R CG1 ??? G2
R 1?G1C?G2G2?1 R(1?G1)(1?G2)1?2G2?G1G2C C(S)(1?G1)(1?G2)?R(S)1?2G2?G1G2
(c)
G1RG2G3CG1RG2G3C图(c)-(1)G1RG2G3G2C图(c)-(2)RG1?G21?G2G3图(c)-(4)C图(c)-(3)C(s)G1?G2?R(s)1?G2G3
(d)
RG1G2G3CRG1G2G2C
图(d)-(1)G3RG1C图(d)-(2)RG1?G21?G2G3图(d)-(4)C图(d)-(3)
C(s)G1?G2?R(s)1?G2G3
G2G2G3
(e)
??G1?R?G1G2??C(a)?G2(b)?G2R?G1G2G1G2G2(c)G2G2G2?C??RG2???(d)G2???C RG1(1?G2)(1?G2)?G21?G1G2C C(s)G1?G2?2G1G2?R(s)1?G1G2
C(s)2-13 简化图示动态结构图，并求传递函数
解答： (a)
G4R?R(s)。
G4CG2CR?G1G2G3?G1G2G3?G5G5CRG11?G1G2G4RG2G3?G5G1(G2G3?G5)1?G1G2G4CC(s)G1(G2G3?G5)?R(s)1?G1G2G4
(b)
G4RG4G1G2G3CRG1G2G3CG5G5G4RG1G21?G2G6G3CRG1RG1G2G3?G1G4?G1G2G4G61?G2G6?G1G2G5G6C图(b)-(5)
C(s)G1G4?G1G2G3?G1G2G4G6?R(s)1?G2G6?G1G2G5G6
(c)
G4RG1G2G3CRG1G4/G1RG11?G1G5 G2G3G5G6G2G3CRG4?G1G2G31?G1G5?G1G2G3G5G6图(c)-(3)图(c)-(4)G4?G1G2G3C(s)?R(s)1?G1G5?G1G2G3G5G6
(d)
G5RG1G4G2G3CRG1G2G4G5RG1G4G21?G2G3 G3CRG1G5?G1G2G3?G1G2G3G51?G2G3?G1G2G4图(d)-(3) 图(d)-(1)图(d)-(4) G3 G5G6图(c)-(1)G5G6 G5 G5G6图(b)-(3)G2G5G61?G2G6 G4 G6图(b)-(1)G6 G6 图(b)-(2)G2G31?G2G6C图(b)-(4)
G4/G1G2G3C图(c)-(2)C
G5G3C图(d)-(2)C