Electrical Engineering
GATE EE topic:control-systems PYQs
Build your understanding with focused practice from past exam papers.
Questions 31–40 of 63. Imported answers require independent review unless marked reviewed.
Question 46
Open questionEENAT2 marksNeeds review
Consider a closed-loop system as shown.
is the plant transfer function and
is the compensator. For a unit-step input, the output response has damped oscillations. The damped natural frequency is ______________ rad/s. (Round off to 2 decimal places.) 
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Open questionEENAT2 marksNeeds review
In the given figure, plant
and compensator
. The external disturbance input is
. It is desired that when the disturbance is a unit step, the steady-state error should not exceed 0.1 unit. The minimum value of K is ________. (Round off to 2 decimal places.) 
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The state space representation of a first-order system is given as
where,
is the state variable,
is the control input and
is the controlled output. Let
be the control law, where K is the controller gain. To place a closed-loop pole at
, the value of K is __________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 10
Open questionEEMCQ1 markNeeds review
Consider a linear time-invariant system whose input
and output
are related by the following differential equation:
The poles of this system are atYour answerChoose one option.
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Which of the options is an equivalent representation of the signal flow graph shown here?
Your answerChoose one option.
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Consider a negative unity feedback system with forward path transfer function
, where
are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the
-plane in the clockwise direction, the Nyquist plot of
encircles the origin of
-plane once in the clockwise direction and never passes through this origin for a certain value of
. Then, the number of poles of
lying in the open right half of the
-plane is ________.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 35
Open questionEEMCQ2 marksNeeds review
Which of the following options is correct for the system shown below?
Your answerChoose one option.
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Consider a negative unity feedback system with the forward path transfer function
, where
is a positive real number. The value of
for which the system will have some of its poles on the imaginary axis is ________.Your answerChoose one option.
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The causal realization of a system transfer function
having poles at
,
and zeroes at
,
will beYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 41
Open questionEEMCQ2 marksNeeds review
A stable real linear time-invariant system with single pole at
, has a transfer function
with a dc gain of 5. The smallest positive frequency, in rad/s, at unity gain is closest to:Your answerChoose one option.
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