3. For the system given in Figure 2, answer the following questions. (a) Obtain the transfer function C(s)/R(s) in terms of constants K, J, B, K, and then write this system as a standard second order system as the transfer function given in Problem 1. (b) Determine the values of gain K and K, so that Mp (the maximum overshoot) for a unit step response is equal to 0.2, and tp (the peak time) is 1 second. Assume that J = 1 and B = 1. (c) With the above, now-obtained values for K and K, obtain the rise-time and settling time. R(s) K Js + B C(s) Kh

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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3. For the system given in Figure 2, answer the following questions.
(a) Obtain the transfer function C(s)/R(s) in terms of constants K, J, B, K, and then write this
system as a standard second order system as the transfer function given in Problem 1.
(b) Determine the values of gain K and K, so that Mp (the maximum overshoot) for a unit step
response is equal to 0.2, and tp (the peak time) is 1 second. Assume that J = 1 and B = 1.
(c) With the above, now-obtained values for K and K, obtain the rise-time and settling time.
R(s)
K
Js + B
C(s)
Kh
Transcribed Image Text:3. For the system given in Figure 2, answer the following questions. (a) Obtain the transfer function C(s)/R(s) in terms of constants K, J, B, K, and then write this system as a standard second order system as the transfer function given in Problem 1. (b) Determine the values of gain K and K, so that Mp (the maximum overshoot) for a unit step response is equal to 0.2, and tp (the peak time) is 1 second. Assume that J = 1 and B = 1. (c) With the above, now-obtained values for K and K, obtain the rise-time and settling time. R(s) K Js + B C(s) Kh
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