Electrical Engineering
GATE EE topic:control-systems PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 63. Imported answers require independent review unless marked reviewed.
Question 6
Open questionEEMCQ1 markNeeds review
A system transfer function is
. If
, and all other coefficients are positive, the transfer function represents aYour answerChoose one option.
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The output response of a system is denoted as
, and its Laplace transform is given by
. The steady state value of
isYour answerChoose one option.
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The open loop transfer function of a unity feedback system is given by
. In
plane, the Nyquist plot of
passes through the negative real axis at the pointYour answerChoose one option.
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The characteristic equation of a linear time-invariant (LTI) system is given by
. The system is BIBO stable ifYour answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
The asymptotic Bode magnitude plot of a minimum phase transfer function
is shown below. 
Consider the following two statements:
Statement I: Transfer function
has three poles and one zero.
Statement II: At very high frequency (
), the phase angle
.
Which one of the following options is correct?Your answerChoose one option.
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The transfer function of a phase lead compensator is given by
. The frequency (in rad/sec), at which
is maximum, isYour answerChoose one option.
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Open questionEEMCQ2 marksNeeds review
Consider a state-variable model of a system
where
is the output, and
is the input. The damping ratio
and the undamped natural frequency
(rad/sec) of the system are given byYour answerChoose one option.
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Open questionEEMCQ1 markNeeds review
Match the transfer functions of the second-order systems with the nature of the systems given below.
Transfer functions:
P:
Q:
R:
Nature of system:
I: Overdamped
II: Critically damped
III: Underdamped
Your answerChoose one option.
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Open questionEENAT1 markNeeds review
Consider a unity feedback system with forward transfer function given by
The steady-state error in the output of the system for a unit-step input is ________ (up to 2 decimal places).
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Open questionEEMCQ2 marksNeeds review
Consider a system governed by the following equations
The initial conditions are such that
. Let
and
. Which one of the following is true?Your answerChoose one option.
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