ce)=1-+aa-2e0‘so.V-1+g1a51-) a5V1-52 a2-1 2.0 1.8 1.6 1.4 0=2 学 0=3 8 20 0.8 0=∞ 6 0.4 0.2 为 a 0 2 34 567 8 n @,1 a↓the influence by zero↑ When is about 0.5,and a4,the effect of zero can be omitted
a the influence by zero When is about 0.5, and a>4, the effect of zero can be omitted. ) 1 1 sin( 1 1 1 ( 2) ( ) 1 2 2 2 1 2 2 a a e t tg a a a c t n t n n z a
The addition of a pole to second order system n C(s) 2 0 T R(s) (w+1s+240,+m）(+Xs2+240,5+0) 1 0<5<12 1,2=-50n±j0nV1-52 p3=- T R(s)= 1 c(1)=1-Ae-so sin(@at+o)-Ae-o S By second By first order factor order factor 0a=0nV1-52 β A 1 V(1-52)[52B(B-2)+1] 0=g5(B-2V1-5 T 1 B 52(B-2)+1 A, 52B(B-2)+1
)( 2 ) 1 ( ( ) ( 1)( 2 ) ( ) 2 2 2 2 2 2 n n n n n n s s T s T R s Ts s s C s 0 1 s R s 1 ( ) 2 1,2 p n j n 1 T p 1 3 t d t n n c t A e t A e 1 2 ( ) 1 sin( ) 2 d n 1 ( 2 ) 1 ( 2 ) 1 2 2 1 tg n T 1 ( 1 )[ ( 2 ) 1 ] 2 2 1 A ( 2 ) 1 1 2 2 A By second order factor By first order factor The addition of a pole to second order system