Question

The unity feedback control system is represented in Figure bic2.in order to improve the performance, a PD controller is introduced in the forward path in series with the plant as shown in Bic 2 R(s) + 484 s(s+15) C(s) Bicl R(s) + 1 484 s(s+15) C(s) sk$_ Bic2 1- The damping ratio without controller; 2- The value of kd, if the damping ratio to be improved by 30% and thus estimate the change in percentage overshoot.

          The unity feedback control system is represented in Figure bic2.in order to
improve the performance, a PD controller is introduced in the forward path in
series with the plant as shown in Bic 2
R(s)
+
484
s(s+15)
C(s)
Bicl
R(s) +
1
484
s(s+15)
C(s)
sk$_
Bic2
1- The damping ratio without controller;
2- The value of kd, if the damping ratio to be improved by 30% and
thus estimate
the change in percentage overshoot.

The unity feedback control system is represented in Figure bic2.in order to
improve the performance, a PD controller is introduced in the forward path in
series with the plant as shown in Bic 2
R(s)
+
484
s(s+15)
C(s)
Bicl
R(s) +
1
484
s(s+15)
C(s)
skBic2
1- The damping ratio without controller;
2- The value of kd, if the damping ratio to be improved by 30% and
thus estimate
the change in percentage overshoot.

Added by Cristina V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Pranay Shrivastava

Step 1

In this case, the transfer function is given as: G(s) = R(s) / C(s) = 484s(s+15) The poles of this transfer function are at s = 0 and s = -15. Since there is no damping term in the transfer function, the damping ratio without controller is 0. ii- To improve the Show more…

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The unity feedback control system is represented in Figure bic2. In order to improve the performance, a PD controller is introduced in the forward path in series with the plant as shown in Bic2. R(s) 484s(s+15) C(s) Bic1 R(s) 484s(s+15) C(s) sKd Bic2 i- The damping ratio without controller ii- The value of Kd, if the damping ratio is to be improved by 30% and thus estimate the change in percentage overshoot.