Instrumentation Engineering
GATE IN topic: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 17
Open questionINMCQ1 markNeeds review
Consider the state-space representation of a system
where
is the state vector,
is the input,
is the system matrix and
is the input matrix. Choose the matrix
from the following options such that the system has a pole at the origin.Your answerChoose one option.
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Open questionINMCQ2 marksNeeds review
Consider the feedback control system shown in the figure. The steady-state error
due to unit step reference
is 
Your answerChoose one option.
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Open questionINMCQ2 marksNeeds review
The transfer function of a system is
Choose the range of
and
(in rad/s) from the following options such that the poles lie on the shaded region of the
-plane as shown in the figure. 
Your answerChoose one option.
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Open questionINNAT2 marksNeeds review
Consider a unity negative feedback system with its open-loop pole-zero map as shown in the figure. If the point s = jα, α > 0, lies on the root locus, the value of α is ________ (rounded off to nearest integer).
Note: The poles are marked with × in the figure.
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A system has the transfer-function
Let
be the unit-step function. The input
that results in a steady-state output
is _____.Your answerChoose one option.
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The number of zeros of the polynomial
in the right-half plane is _____.Log in to check the answer
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The number of times the Nyquist plot of
encircles the origin is ____.Log in to check the answer
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The magnitude and phase plots shown in the figure match with the transfer-function ______.
Your answerChoose one option.
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Open questionINNAT2 marksNeeds review
Consider a standard negative feedback configuration with
and the controller
. The root-locus of
is presented in the figure below.
The gain
at
rad/s. The value of
is ______ (rounded off to one decimal place).Log in to check the answer
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The phase margin of the transfer function
is ________ degrees. (rounded off to the nearest integer).Log in to check the answer
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