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GATE 2022 : Control System Quiz 4
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Question 1
The output response of a system is denoted as y (t), and its Laplace transform is given by
The steady state value of y (t) is
Question 2
Consider the following statements regarding the time constant of the system.
(i) Time constant of the system is related to the speed of response.
(ii) Smaller the time constant slower is the system response.
(iii) It is the time taken by the response to reach 98% of the final value.
Out of the above three statements
(i) Time constant of the system is related to the speed of response.
(ii) Smaller the time constant slower is the system response.
(iii) It is the time taken by the response to reach 98% of the final value.
Out of the above three statements
Question 3
Consider the system given below.
Find the steady state error due to unit step input is ______?
Question 4
Measurement conducted on a servo motor shows the system response to be c(t) = 1 + 0.2e–60t – 1.2e–10t. When subjected to a unit step input. Find the % MP of the given system.
Question 5
The system shown in the figure below employs derivative of feedback in addition to unity power feedback. If the system has the damping ratio of 0.8. Find the steady state error for the ramp input 5 r(t).
Question 6
The unity feedback system as shown in the figure is characterized by 
. The output time response will have a damping factor ξ, and natural frequency ωn, respectively, as
. The output time response will have a damping factor ξ, and natural frequency ωn, respectively, as
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