4. In this problem, the plant G(s) given is in the feedback loop from Problem 3 with controller K(s). For this problem, you will choose the parameters a, b, and e of K(s) to design the controller. The goals are to use pole/zero cancellation to cancel the pole of G(s) and to set the poles of the closed loop system Ga(s) to -3+ j3. Use any method we have learned in class, but show your steps in determining K(s). As part of the problem, find the closed loop system Ga(s). Identify the poles, zeros, and low frequency gain of Ga(s) to verify your design. 2s + a 3 G(s) = 8+8 K(s) = %3! 2+ bs +e

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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4. In this problem, the plant G(s) given is in the feedback loop from Problem 3 with controller K(s). For
this problem, you will choose the parameters a, b, and c of K(s) to design the controller. The goals are to
use pole/zero cancellation to cancel the pole of G(s) and to set the poles of the closed loop system Ga(s)
to -3+ j3. Use any method we have learned in class, but show your steps in determining K(s). As part
of the problem, find the closed loop system Ga(s). Identify the poles, zeros, and low frequency gain of
Ga(s) to verify your design.
2s + a
K(s) =
3
G(s) =
%3!
2+ bs + e
8+8
Transcribed Image Text:4. In this problem, the plant G(s) given is in the feedback loop from Problem 3 with controller K(s). For this problem, you will choose the parameters a, b, and c of K(s) to design the controller. The goals are to use pole/zero cancellation to cancel the pole of G(s) and to set the poles of the closed loop system Ga(s) to -3+ j3. Use any method we have learned in class, but show your steps in determining K(s). As part of the problem, find the closed loop system Ga(s). Identify the poles, zeros, and low frequency gain of Ga(s) to verify your design. 2s + a K(s) = 3 G(s) = %3! 2+ bs + e 8+8
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