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

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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)
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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