数学本质 G(s) U(s) r,CIS+1 Ts+l C 设u= ASino,则Us)= Ao S+O U(s)= Ts+1 s+0 Aot 1+072e-r+ Sin(at-arctgaT) 1+a2T 稳态分量A Sin(at-arctgaT) √1+a2T 根据定义4(a)=1/1+o272,p(o)=- IrctgoT 频率特性写成一个式子 e- Jarcrga 1+02T 1+ joT 1+TsIs=1 1 1 1 ( ) ( ) ( ) 1 1 + = + = = U s R C s Ts U s G s rc 2 2 s ω A ω 设u ASin t ,则Ur(s) r + = = 2 2 1 1 ( ) + + = s A Ts U s o ( ) 1 1 ( ) 2 2 / 0 2 2 Sin t arctg T T A e T A t u t t T − + + + = − ( ) 1 2 2 Sin t arctg T T A − + 稳态分量A() = 1/ 1 + T ,() = −arctgT 根据定义 2 2 s j jarctg T j T Ts e T = − + = + = + 1 1 1 1 1 1 2 2 频率特性写成一个式子 ❖数学本质 R 1 C 1 i 1 (t)