It is known that the tachometric feedback path affects the relative damping of a system as shown in Figure 2. G(s)= _30 and K=2. s(s+6) R(s) + C(s) K G(s) Ts Figure 2 C(s) i. Determine the transfer function. R(s) Determine the value of T in order to keep the damping ratio 3 at 0.7. ii. Calculate the peak time and the settling time (use ±2% of the steady state) ii.

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Q2..
It is known that the tachometric feedback path affects the relative damping of a system as shown
in Figure 2. G(s)
_30 and K= 2.
s(s+6)
R(s) +
K
G(s)
Ts
Figure 2
C(s)
i. Determine the transfer function.
R(s)
ii.
Determine the value of T in order to keep the damping ratio 3 at 0.7.
iii. Calculate the peak time and the settling time (use ±2% of the steady state)
b. A second order system settles to a final position in a time of 1.7 seconds in response to a unit step
input. The response of this system is oscillatory with damped natural frequency of 4 rad/sec. Obtain
the closed loop transfer function of the system and also write a brief reflection on the values
obtained and its impact on the overall system performance
Transcribed Image Text:Q2.. It is known that the tachometric feedback path affects the relative damping of a system as shown in Figure 2. G(s) _30 and K= 2. s(s+6) R(s) + K G(s) Ts Figure 2 C(s) i. Determine the transfer function. R(s) ii. Determine the value of T in order to keep the damping ratio 3 at 0.7. iii. Calculate the peak time and the settling time (use ±2% of the steady state) b. A second order system settles to a final position in a time of 1.7 seconds in response to a unit step input. The response of this system is oscillatory with damped natural frequency of 4 rad/sec. Obtain the closed loop transfer function of the system and also write a brief reflection on the values obtained and its impact on the overall system performance
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