Electronics and Communication Engineering
GATE ECE Control Systems PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 56. Imported answers require independent review unless marked reviewed.
Question 12
Open questionECMCQ1 markNeeds review
In the context of Bode magnitude plots, 40 dB/decade is the same as ______.
Your answerChoose one option.
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Open questionECMCQ1 markNeeds review
In the feedback control system shown in the figure below,
. 
,
, and
are the Laplace transforms of
,
, and
, respectively. If the input
is a unit step function, then ________.Your 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 37
Open questionECMCQ2 marksNeeds review
Consider a unity negative feedback control system with forward path gain
as shown.
The impulse response of the closed-loop system decays faster than
if ______.Your 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 38
Open questionECMCQ2 marksNeeds review
A satellite attitude control system, as shown below, has a plant with transfer function
cascaded with a compensator
, where
and
are positive real constants. 
In order for the closed-loop system to have poles at
, the value of
must be ______.Your 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 53
Open questionECMSQ2 marksNeeds review
Consider a system
represented in state space as
. Which of the state space representations given below has/have the same transfer function as that of
?Your answerSelect all correct options. You can choose more than one.
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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 25
Open questionECMCQ1 markNeeds review
The open loop transfer function of a unity negative feedback system is
, where
,
and
are positive constants. The phase crossover frequency, in rad/s, isYour 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 questionECMCQ2 marksNeeds review
A closed loop system is shown in the figure where
and
. The steady state error due to a ramp input (
) is given by 
Your 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 42
Open questionECMCQ2 marksNeeds review
In the following block diagram,
and
are two inputs. The output
is expressed as
.
and
are given by 
Your 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 43
Open questionECMCQ2 marksNeeds review
The state equation of a second order system is
,
is the initial condition. Suppose
and
are two distinct eigenvalues of
and
and
are the corresponding eigenvectors. For constants
and
, the solution,
, of the state equation isYour 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 57
Open questionECNAT2 marksNeeds review
The asymptotic magnitude Bode plot of a minimum phase system is shown in the figure
. The transfer function of the system is
, where
and
are positive constants. The value of
is ______ (rounded off to the nearest integer).Log in to check the answer
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