[理工] 自控轉移函數比較係數的問題
有個開路轉移函數
K
G(s) = -----------
(s-1)(s+9)
然後給了ξ = 0.707
k
我的解法為把G(s)寫成 T(s) = ----------------
(s-1)(s+9) + k
然後
2
k k Wn
T(s) = --------------- = ------------------ = ---------------------
(s-1)(s+9) + k s^2 + 8s - 9 + k s^2 + 2ξWns + Wn^2
比較係數後
Wn = 5.658 rad/sec K= 32.01 (書的答案)
2
我算出來是 -9 + k = Wn 這樣 k = 41.01
2 2
我的問題是Wn 是要直接比較分子的 k 就好還是 要比分母的-9 + k = Wn
搞的我好亂啊..冏rz
感謝板友解答!
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