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# GATE EC 2022: Control Quiz 3 (App update required to attempt this test)

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Question 1

For a system with damping ratio = 0.316, natural frequency of oscillation = 3.162 rad/sec. Determine the Peak time(in sec).

(Give the answer upto 2 decimal places)

Question 2

Consider the control system shown below.

For unit step input, the time constant of the system is given by ________ sec.

Question 3

The open loop transfer function of a unity feedback system is , the minimum value of steady state error to a ramp input r(t) = 5tu(t) is_____

Question 4

The response of the system to the unit step input the value of at t=0is

Question 5

A causal system having the transfer function is excited with 10u(t). The time at which the output reaches 99% of its steady state value is
Assume =1.4 and Cp = 1.0 kJ/kg –K

Question 6

The magnitude plot for a transfer function is

The steady state error corresponding to unit step input is ______.
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