PROBLEM-4 transient analysis of this system; R(s) a. b. G₁ ): Consider the following unity feedback closed loop system. For the time domain K s(7x + 1) C(s) T 0. Obtain the closed loop transfer function TFC(s). From this TF(s), identify the natural frequency w, and damping ratio in terms of K and T? Re- write this TEC(s) in standard form of 2nd order system in terms of w, and ? Response c(t) of this system to a unit step input u(t) is given above. Find the value of for maximum overshoot M, 0.1 (10 % OS) ? Find the damped natural frequency wa undamped natural frequency , the values of K and T? (Z Findergalculate the tima dalaut 204

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PROBLEM-4
): Consider the following unity feedback closed loop system. For the time domain
transient analysis of this system;
R(s)
a.
b.
K
s(Tx+1)
C(s)
0.
Obtain the closed loop transfer function TFC(s).
From this TF(s), identify the natural frequency @n and damping ratio in terms of K and T? Re-
write this TEC(s) in standard form of 2nd order system in terms of w, and ?
G. Response c(t) of this system to a unit step input u(t) is given above. Find the value of for
maximum overshoot M,-0.1 (10 % OS)? Find the damped natural frequency @a, undamped
natural frequency , the values of K and T? (2
d. Find or calculate the time delay ta, rise time t, and 2% settling time ts.
Arthave that this evetama
dified an
Transcribed Image Text:PROBLEM-4 ): Consider the following unity feedback closed loop system. For the time domain transient analysis of this system; R(s) a. b. K s(Tx+1) C(s) 0. Obtain the closed loop transfer function TFC(s). From this TF(s), identify the natural frequency @n and damping ratio in terms of K and T? Re- write this TEC(s) in standard form of 2nd order system in terms of w, and ? G. Response c(t) of this system to a unit step input u(t) is given above. Find the value of for maximum overshoot M,-0.1 (10 % OS)? Find the damped natural frequency @a, undamped natural frequency , the values of K and T? (2 d. Find or calculate the time delay ta, rise time t, and 2% settling time ts. Arthave that this evetama dified an
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