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GATE 2023 Control System Quiz 12

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Question 1

The closed loop transfer function of a system is given by-
TF =
The value of K such that the damping ratio is 0.7 and an un-damped natural frequency is 5rad/sec is

Question 2

A unity feedback control system requires 0.52 seconds to reach its peak value while subjected to the step input. If the settling time of the response for 2% tolerance band is 1.05 seconds. The resonant frequency of the system will be _______ rad/sec.

Question 3

For the system shown in Fig below, in order to reduce C1 by 1%, the percentage reduction that has to be done on G for given input, is

Question 4

The steady state error of a unity feedback system having forward path gain

Question 5

If , where C(s) = Output and R(s) = Step input. The system reaches to its 99% value of steady state at ______ sec, considering it takes 7 sec to reach 50% of its steady state value.

Question 6

In the system shown below, what is steady state error in unit ramp response?

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