system give the figure on the right-hand side, where the input is four-unit step i.e., rt=4(t). R(s). K C(s) s2 +s+ 2 (a) Find the value of gain K that yields max. 20% overshoot, and the peak time for this gain, and the settling time for this gain. 2 K (b) Find the steady-state and peak values of the response for this gain, and the value of gain K that yields max. 30% overshoot, And its peak time for this gain, and the settling time for this gain. (c) Find the steady-state and peak values of the response for this gain (d) Determine the value of gain Kto get the fastest response without oscillation
system give the figure on the right-hand side, where the input is four-unit step i.e., rt=4(t). R(s). K C(s) s2 +s+ 2 (a) Find the value of gain K that yields max. 20% overshoot, and the peak time for this gain, and the settling time for this gain. 2 K (b) Find the steady-state and peak values of the response for this gain, and the value of gain K that yields max. 30% overshoot, And its peak time for this gain, and the settling time for this gain. (c) Find the steady-state and peak values of the response for this gain (d) Determine the value of gain Kto get the fastest response without oscillation
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
![Problem 2. For the system given in
the figure on the right-hand side,
where the input is four-unit step i.e.,
rt=4(t).
R(s)
K
C(s)
s2 +s + 2
(a) Find the value of gain K that
yields max. 20% overshoot, and the
peak time for this gain, and the
settling time for this gain.
1
K
(b) Find the steady-state and peak
values of the response for this gain, and the value of gain K that yields max. 30%
overshoot, And its peak time for this gain, and the settling time for this gain.
(c) Find the steady-state and peak values of the response for this gain
(d) Determine the value of gain K to get the fastest response without oscillation.
(e) Find the settling time for this new gain and compare it with the previous two
settling times.
(f) 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,..](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee988d72-a9c4-4448-9a6c-f8f0faec183d%2F85e02450-5d4c-4ad0-ab5e-9bc202e279dd%2F2jlsu6_processed.jpeg&w=3840&q=75)
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.,
rt=4(t).
R(s)
K
C(s)
s2 +s + 2
(a) Find the value of gain K that
yields max. 20% overshoot, and the
peak time for this gain, and the
settling time for this gain.
1
K
(b) Find the steady-state and peak
values of the response for this gain, and the value of gain K that yields max. 30%
overshoot, And its peak time for this gain, and the settling time for this gain.
(c) Find the steady-state and peak values of the response for this gain
(d) Determine the value of gain K to get the fastest response without oscillation.
(e) Find the settling time for this new gain and compare it with the previous two
settling times.
(f) 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,..
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