Q6 A closed-loop control system is represented by block diagram as shown in Figure Q6. R(s) + 2 C(s) Kp (s + 1) 6 (s + 6) Figure Q6 (i). Develop the transfer function and estimate the proportional controller gain Kp so that the undamped natural frequency of the closed-loop system is 4 rad/sec. (ii). Estimate the proportional controller gain Kp and the maximum percentage overshoot so that the damping ratio of the closed-loop system is 0.7. (iii). Compute the steady-state error output for step response input r(t) = 4u(t) and controller gain Kp = 2.

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Q6 A closed-loop control system is represented by block diagram as shown in
Figure Q6.
R(s) +
C(s)
2
Kp
(s + 1)
(s + 6)
Figure Q6
(i). Develop the transfer function and estimate the proportional controller
gain Kp so that the undamped natural frequency of the closed-loop
system is 4 rad/sec.
(ii). Estimate the proportional controller gain Kp and the maximum
percentage overshoot so that the damping ratio of the closed-loop system
is 0.7.
(iii). Compute the steady-state errTor output for step response input r(t) = 4u(t)
and controller gain Kp = 2.
Transcribed Image Text:Q6 A closed-loop control system is represented by block diagram as shown in Figure Q6. R(s) + C(s) 2 Kp (s + 1) (s + 6) Figure Q6 (i). Develop the transfer function and estimate the proportional controller gain Kp so that the undamped natural frequency of the closed-loop system is 4 rad/sec. (ii). Estimate the proportional controller gain Kp and the maximum percentage overshoot so that the damping ratio of the closed-loop system is 0.7. (iii). Compute the steady-state errTor output for step response input r(t) = 4u(t) and controller gain Kp = 2.
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