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1、 1208-1 (a) P sssssQss( )()=+=+4324481 Finite zeros of P(s): 0, 3.5098, 0.24512 j1.4897 Finite zeros of Q(s): 1 Asymptotes: K 0: 60180300ooo, K 0: 90270oo, K 0: 180oK 0: 60180300ooo, K 0: 60180300ooo, K 0: += 1234180o+= =11904590180135oooooK 0: += 1234180oK 0: += 1234180o= = 11135904518090ooooo(d) A
2、ngle of departure K 0: = 1234180o= = 1113513590180180ooooo122(e) Angle of arrival K 0: 90270ooand K 0: 45135225315oooo, K 0: 60180300ooo, K 0: 90270oo, K 0: 90270oo, K 0: 45135225315oooo, K 0: 90270oo, K 0: 45135225315oooo, K 0: 90270oo, K 0: 90270oo, K 0: 90270oo, K 0: 180oK 0: 60180300ooo, K 0: 90
3、270oo, K 0: 90270oo, K 0: 90270oo, K 0: 180oK 0: 180oK 0: 180oK 0: 90270oo, K 0: 180oK 0: 60180300ooo, K 0: 45135225315oooo, Intersect of Asymptotes: 122564512 75= = () . Breakaway-point Equation: 4653961100131248005432sssss+= Breakaway Points: 0.6325, 5.511 (on the RL) When =0 707., K = 13.07 1458-
4、7 (b) Asymptotes: K 0: 45135225315oooo, Intersect of Asymptotes: 10251044.25= Breakaway-point Equation: 451160100032sss+= When =0 707., K = 61.5 1468-7 (c) Asymptotes: K 0: 180oBreakaway-point Equation: ssss4324103005000+= Breakaway Points: 1.727 (on the RL) When =0 707., K = 9.65 1478-7 (d) K 0: 90
5、270oo, Intersect of Asymptotes: 12256427 5= = . When =0 707., K = 8.4 1488-8 (a) Asymptotes: K 0: 60180300ooo, Intersect of Asymptotes: 101020310= Breakaway-point Equation: 36020002ss+= Breakaway Point: (RL) 4.2265, K = 384.9 149(b) Asymptotes: K 0: 45135225315oooo, Intersect of Asymptotes: 1013542=
6、 = .25 Breakaway-point Equation: 4274615032sss+= Breakaway Points: (RL) 0.4258 K = 2.879, 4.2537 K = 12.95 1501518-10 P ssssQss( )()=+=32252100100 Asymptotes: Ktoo090270:, Intersect of Asymptotes: 12503112 5= . Breakaway-point Equation: ss3212 5500+=. Breakaway Points: (RL) 2.2037, 12.162 8-11 Chara
7、cteristic equation: ssK sKt3250+= 152(a) ()20:( )5( )1tKP sssQ s=+= Asymptotes: K 0: 60180300ooo, Intersect of Asymptotes: 15031 667= = . Breakaway-point Equation: 31002ss+= Breakaway Points: 0, 3.333 8-11 (b) P sssQss( )()=+=325100 Asymptotes: K 0: 90270oo, Intersect of Asymptotes: 153150210= = Bre
8、akaway-point Equation: 251003ss+= There are no breakaway points on RL. 8-12 P sssQsss().().(=+=+22116 8418432 055) Asymptotes: JLo=0180: Breakaway-point Equation: =2 0547912532377820432.ssss Breakaway Points: (RL) 0, 204.18 1548-13 (a) ()2( )1( )(5)(3)P ss sQ sss=+ Asymptotes: K 0: 180oBreakaway-poi
9、nt Equation: sss4321646150+= Breakaway Points: (RL) 0.5239, 12.254 1558-13 (b) ()2( )1029( )10(3)P ss ssQ ss=+=+ Asymptotes: K 0: 90270oo, Intersect of Asymptotes: 10103)313 5= = ( . Breakaway-point Equation: 20190600870032sss+= There are no breakaway points on the RL. 1568-14 (a) P ssssQ s()(.)( ).
10、=+=12 5)(183 333 Asymptotes: N 0: 60180300ooo, Intersect of Asymptotes: 1012 5134.5= .Breakaway-point Equation: 327502ss+=_12 . Breakaway Point: (RL) 0.4896 1578-14 (b) P sssQsss().().(.=+=+2212 5833 3330 0212 5) A 0: 180oBreakaway-point Equation: 0 020 553 125416 670432.ssss+= Breakaway Points: (RL
11、) 0 1588-14 (c) P sssssjsj( ).(.)(.=+=+3212 516666717 782 649 3)(2 649 3) Q ss s( ).(.=+0 0212 5) Asymptotes: Koo0180: Breakaway-point Equation: 0 020 53 12566 67416670432.ssss+= Breakaway Point: (RL) 5.797 1598-15 (a) AKo=100 : P ssssQs( )(.)().=+=12 5)(141 67 Asymptotes: N 0: 60180300oooIntersect
12、of Asymptotes: 10112 534.5= = .Breakaway-point Equation: 32712 502ss+=. Breakaway Points: (RL) 0.4896 1608-15 (b) P sssjsj().(.25.)(.25.)=+=+212 5166667640 34640 34 Q sss( ).(.=+0 0212 5)2Asymptotes: A 0: 180oBreakaway-point Equation: 0 020 5103 13833 330432.ssss+= Breakaway Points: (RL) 0 1618-15 (
13、c) P sssssjsj( ).(.=+=+3212 5833 3315 83)(1 6637 063)(1 6637 063) Q ss s( ).(.=+0 0112 5) Asymptotes: Koo0180: Breakaway-point Equation: 0 010 151 562516 67104. 170432.ssss+= Breakaway Point: (RL) 5.37 1628-16 (a) P ssssQs( )()()=+=215)1 Asymptotes: K 0: 45135225315oooo, Intersect of Asymptotes: 100
14、1541 5=+ = . Breakaway-point Equation: 41810032sss+= Breakaway point: (RL) 0, 3.851 163(b) P ssssQss( )()()=+=+215)51 Asymptotes: K 0: 60180300ooo, Intersect of Asymptotes: 100150415 831 93=+ = = (.2). . Breakaway-point Equation: 156443100432ssss+= Breakaway Points: (RL) 3.5026 8-17 P sssssssjsj()()(.)(.)(.)=+=+215)104.893)(1 8960 3940 960 3940 96 Q ss( )=10 Asymptotes: Tdooo060180300:, Intersection of Asymptotes: 14. 8931 8960 39440 3944412=+= .There are no bre
