(d) Find the steady-state and peak values of the response for this gain. (e) Find the value of gain K that yields max. 30% overshoot, (1) Find the peak time for this gain, (g) Find the settling time for this gain

Introductory Circuit Analysis (13th Edition)
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 if possible, kindly the solution isnt handwriting ( text through keyboard ) is much appreciated and readable*

Course:

EE 350 ( System Dynamics and control ) Major: electrical engineering

Note: Bartleby expert solved first three sub-parts A,B and C. and told me to post the question again so the rest of the solution could be solved ( D, E, F )

Problem 2. For the system given in the figure on the right-hand side, where the
input is four-unit step i.e., r t = 4(t).
(a) Find the value of gain K that yields max. 20% overshoot,
(b) Find the peak time for this gain,
(c) Find the settling time for this gain,
(d) Find the steady-state and peak values of the response for this gain.
(e) Find the value of gain K that yields max. 30% overshoot,
(1) Find the peak time for this gain,
(g) Find the settling time for this gain
(h) Find the steady-state and peak values of the response for this gain
(1) Determine the value of gain K to get the fastest response without oscillation.
(1) Find the settling time for this new gain and compare it with the previous two
settling times.
(k) Simulate this control system in Simulink and plot the responses with 20%,
30% and fastest but no oscillation on the same plane. Indicate settling times of
the responses on the plot and list them from the smallest to the largest such as, T,.
<T,. <T,.
R(s)
K
C(s)
s² + s + 2
2
1
K
-
Transcribed Image Text:Problem 2. For the system given in the figure on the right-hand side, where the input is four-unit step i.e., r t = 4(t). (a) Find the value of gain K that yields max. 20% overshoot, (b) Find the peak time for this gain, (c) Find the settling time for this gain, (d) Find the steady-state and peak values of the response for this gain. (e) Find the value of gain K that yields max. 30% overshoot, (1) Find the peak time for this gain, (g) Find the settling time for this gain (h) Find the steady-state and peak values of the response for this gain (1) Determine the value of gain K to get the fastest response without oscillation. (1) Find the settling time for this new gain and compare it with the previous two settling times. (k) Simulate this control system in Simulink and plot the responses with 20%, 30% and fastest but no oscillation on the same plane. Indicate settling times of the responses on the plot and list them from the smallest to the largest such as, T,. <T,. <T,. R(s) K C(s) s² + s + 2 2 1 K -
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