[問題] 兩題控制

看板Electronics作者COBRAS518 (Never Stop)時間13年前 (2011/01/10 10:54)推噓2(2推 0噓 4→)

留言6則, 6人參與討論串1/1

1. Let P(s) = (s-4)/[(s+5)(s-5)] (a) Find x,y,n,d∈S such that P = n/d, d is a Blaschke product, and xd + yn = 1. (b) Find a controller C(s) with a pole at s = 10, which stabilizes P in the standard feedback system. (c) W(s) = (1+0.1s)/(1+s) Find a lower bound L on the achievable ||W H (s)|| (using a yd ∞ stabilizing controller) (d) Suppose for robustness considerations, it has been determined that the stabilizing controller C(s) should satisfy ||C/(1+PC)|| ≦50 ∞ Is there such a controller? 2. Suppose a controller is found which stabilizes the plant P(s) = (s-1)/(s^2+s+5) and in addition achieves at least 30dB of disturbance rejection for |ω|≦2(rad/s). Find a lower bound on ||H (s)|| . If we yd ∞ require ||H (s)|| ≦12dB, what is the maximum bandwidth over which we can yd ∞ achieves at least 30dB of disturbance rejection? -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.113.80.253 ※ 編輯: COBRAS518 來自: 140.113.80.253 (01/10 10:54)

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jamtu

01/10 13:42, , 1^F

01/10 13:42, 1^F

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COBRAS518

01/10 14:37, , 2^F

01/10 14:37, 2^F

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obov

01/10 15:00, , 3^F

01/10 15:00, 3^F