PROBLEM-2 ): Consider the open-loop system with G(s) applied to this system, output y(t) is obtained as in below Figure. s²+bs+c When input x(t) = 4u(t) is
PROBLEM-2 ): Consider the open-loop system with G(s) applied to this system, output y(t) is obtained as in below Figure. s²+bs+c When input x(t) = 4u(t) is
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
![PROBLEM-2
): Consider the open-loop system with G(s) =
applied to this system, output y(t) is obtained as in below Figure.
X(s)
Y(s)
y(t)
0.22
a.
02
0.18
016
0.14
0.12
0.1
0.06
0.06
0.04
0.02
G(s)
time (sec)
Determine the 2% settling time Ts and overshoot (OS) of the system from the graph. Find the
natural frequency (wn), damping ratio (3)? Then determine the a, b, c parameters of G (s) and obtain G (s).
(1+1
b.
C.
Using this G(s), establish a unity feedback system as in Figure-1b. Find the steady state error when
input x(t) = 4u(t).(
X(s)
a
s²+bs+c
ts)
In order to reduce Ts to Ts/2, which parameter and how much must be changed? (4 s)
E(s)
G(s)
When input x(t) = 4u(t) is
Y(s)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6f9f597-3715-454d-8336-1836f1032678%2Fb0ffd32d-97f3-42f1-a5e3-c6230632c905%2Ff4bf0cb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PROBLEM-2
): Consider the open-loop system with G(s) =
applied to this system, output y(t) is obtained as in below Figure.
X(s)
Y(s)
y(t)
0.22
a.
02
0.18
016
0.14
0.12
0.1
0.06
0.06
0.04
0.02
G(s)
time (sec)
Determine the 2% settling time Ts and overshoot (OS) of the system from the graph. Find the
natural frequency (wn), damping ratio (3)? Then determine the a, b, c parameters of G (s) and obtain G (s).
(1+1
b.
C.
Using this G(s), establish a unity feedback system as in Figure-1b. Find the steady state error when
input x(t) = 4u(t).(
X(s)
a
s²+bs+c
ts)
In order to reduce Ts to Ts/2, which parameter and how much must be changed? (4 s)
E(s)
G(s)
When input x(t) = 4u(t) is
Y(s)
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Step 1: Given that
VIEWStep 2: a. Calculation of settling time and overshoot
VIEWStep 3: calculation of damping ratio and natural frequency of oscillation
VIEWStep 4: Calculation of a, b and c
VIEWStep 5: b) effect of reducing the settling time
VIEWStep 6: c) Calculation of steady state error
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