Re: [理工] [工數]-拉氏
s^2+4s+2
-----------------------
(s-2)^2 * (s^2-2s+5)
(14/5) A Bs+C
= ------------ +-------------- + --------------
(s-2)^2 (s-2) (s^2-2s+5)
s^2+4s+2 =(14/5) (s^2-2s+5)+A(s^3-4s^2+9s-10)+Bs^3+(C-4B)s^2+(4B-4C)s+4c
比較細數
=> A=0.48 B= -0.48 C= - 1.8
(14/5) 0.48 0.48s+1.8
------------ +-------------- - --------------
(s-2)^2 (s-2) (s^2-2s+5)
(14/5) 0.48 s+3.75
= ------------ + -------------- - 0.48 [ ----------------- ]
(s-2)^2 (s-2) (s-1)^2+2^2
(14/5) 0.48 s-1 4.75
= ------------ + -------------- - 0.48 [ ----------------- + ---------- ]
(s-2)^2 (s-2) (s-1)^2+2^2 (s-1)^2+2^2
14 e^2t
= -------------- + 0.48 e^2t - 0.48[e^t cos2t + 2.375 e^t sin2t ]
5 t
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◆ From: 114.32.124.244
※ 編輯: ajk32 來自: 114.32.124.244 (03/27 01:31)
推
03/27 01:58, , 1F
03/27 01:58, 1F
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