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Block Diagram and Signal Flow Graph
Polar Nyquist and Bode Plot
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GATE EE
Polar Nyquist and Bode Plot
Control Systems
Previous Years Questions
START HERE
Marks 1
More
The open loop transfer function of a unity gain negative feedback system is given as $$G(s) = {1 \over {s(s + 1)}}$$ The...
GATE EE 2022
GO TO QUESTION
An LTI system is shown in the figure where $$G(s) = {{100} \over {{s^2} + 0.1s + 100}}$$. The steady state output of the...
GATE EE 2022
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The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high freq...
GATE EE 2022
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Consider the unity feedback control system shown. The value of $$K$$ that results in a phase margin of the system to be ...
GATE EE 2017 Set 1
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The transfer function of a system is given by $${{{V_0}\left( s \right)} \over {{V_i}\left( s \right)}} = {{1 - s} \over...
GATE EE 2017 Set 1
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The phase cross-over frequency of the transfer function $$G\left( s \right) = {{100} \over {{{\left( {s + 1} \right)}^3}...
GATE EE 2016 Set 1
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The transfer function of a system is $${{Y\left( s \right)} \over {R\left( s \right)}} = {s \over {s + 2}}.$$ The steady...
GATE EE 2016 Set 1
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A Bode magnitude plot for the transfer function $$𝐺(𝑠)$$ of a plant is shown in the figure. Which one of the following...
GATE EE 2015 Set 1
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Nyquist plots of two functions $${G_1}\left( s \right)$$ and $${G_2}\left( s \right)$$ are shown in figure. Nyquist p...
GATE EE 2015 Set 2
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The Bode plot of a transfer function $$G(s)$$ is shown in the figure below. The gain is $$\left( {20\log \left| {G\le...
GATE EE 2013
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A system with transfer function $$\,G\left( s \right) = {{\left( {{s^2} + 9} \right)\left( {s + 2} \right)} \over {\left...
GATE EE 2012
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An open loop system represented by the transfer function $$G\left( s \right) = {{\left( {s - 1} \right)} \over {\left( {...
GATE EE 2011
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The frequency response of a linear system $$G\left( {j\omega } \right)$$ is provided in the tubular form below. The gai...
GATE EE 2011
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The polar plot of an open loop stable system is shown below. The closed loop systems is ...
GATE EE 2009
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The gain margin of a unity feedback control system with the open loop transfer function $$G\left( s \right) = {{\left( {...
GATE EE 2005
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A system with zero initial conditions has the closed loop transfer function $$T\left( s \right) = {{{s^2} + 4} \over {\l...
GATE EE 2005
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The Nyquist plot of loop transfer function $$G(s) H(s)$$ of a closed loop control system passes through the point $$(-1,...
GATE EE 2004
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The asymptotic approximation of the log-magnitude versus frequency plot of a minimum phase system with real poles and on...
GATE EE 2001
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The polar plot of a type-$$1, 3$$-pole, open-loop system is shown in Fig. below. The closed loop system is ...
GATE EE 2001
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The closed - loop transfer function of a control system is given by $${{C\left( s \right)} \over {R\left( s \right)}} = ...
GATE EE 1996
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A unity feedback system has the open loop transfer function $$G\left( s \right) = {1 \over {\left( {s - 1} \right)\left(...
GATE EE 1992
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Which of the following is the transfer function of a system having the Nyquist plot shown in Fig. below. ...
GATE EE 1991
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The system having the Bode magnitude plot shown in Fig. below has the transfer function ...
GATE EE 1991
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Marks 2
More
Loop transfer function of a feedback system is $$G\left( s \right)H\left( s \right) = {{s + 3} \over {{s^2}\left( {s - 3...
GATE EE 2016 Set 1
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Consider the following asymptotic Bode magnitude plot ($${\omega \,\,}$$ is in $$rad/s$$) Which one of the following ...
GATE EE 2016 Set 1
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For the transfer function $$G\left( s \right) = {{5\left( {s + 4} \right)} \over {s\left( {s + 0.25} \right)\left( {{s^2...
GATE EE 2014 Set 2
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The magnitude Bode plot of a network is shown in the figure The maximum phase angle $${\phi _m}$$ and the correspondin...
GATE EE 2014 Set 3
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The Bode magnitude plot of the transfer function $$G\left( s \right) = {{K\left( {1 + 0.5s} \right)\left( {1 + as} \righ...
GATE EE 2014 Set 1
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The frequency response of $$G\left( s \right) = 1/\left[ {s\left( {s + 1} \right)\left( {s + 2} \right)} \right]$$ plott...
GATE EE 2010
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The asymptotic approximation of the log magnitude vs frequency plot of a system containing only real poles and zeros is ...
GATE EE 2009
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The open loop transfer function of a unity feedback system is given by $$G\left( s \right) = \left( {{e^{ - 0.1s}}} \rig...
GATE EE 2009
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The asymptotic Bode magnitude plot of a minimum phase transfer function is shown in the figure: This transfer function...
GATE EE 2008
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If $$X = {\mathop{\rm Re}\nolimits} G\left( {j\omega } \right),\,\,$$ and $$y = {\rm I}mG\left( {j\omega } \right)$$ the...
GATE EE 2007
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Consider the following Nyquist plots of loop transfer functions over $$\omega = 0$$ to $$\omega = \infty .$$ Which of ...
GATE EE 2006
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The Bode magnitude plot of $$H\left( {j\omega } \right) = {{{{10}^4}\left( {1 + j\,\omega } \right)} \over {\left( {10 +...
GATE EE 2006
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If the compensated system shown in the figure has a phase margin of $${60^ \circ }$$ at the crossover frequency of $$1 r...
GATE EE 2005
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In the $$GH(s)$$ plane, the Nyquist plot of the loop transfer function $$G\left( s \right)\,H\left( s \right) = {{\pi {e...
GATE EE 2005
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In the system shown in figure, the input $$x(t)$$ $$=$$ $$sin$$ $$t.$$ In the steady-state, the response $$y(t)$$ will ...
GATE EE 2004
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The open loop transfer function of a unity feedback control system is given as $$G\left( s \right) = {{as + 1} \over {{s...
GATE EE 2004
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The asymptotic Bode plot of the transfer function $${K \over {1 + {s \over a}}}$$. The error in phase angle and $$dB$$ g...
GATE EE 2003
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The function corresponding to the Bode plot of Figure, is ...
GATE EE 1999
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A unity feedback system with the open loop transfer function $$G\left( s \right) = {1 \over {s\left( {s + 2} \right)\lef...
GATE EE 1997
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An under damped second order system having a transfer function of the form $$M\left( s \right) = {{k\omega _n^2} \over {...
GATE EE 1991
GO TO QUESTION
Marks 5
More
A unity feedback system has an open-loop transfer function of $$G\left( s \right) = {{10000} \over {s{{\left( {s + 10} \...
GATE EE 2001
GO TO QUESTION
Open-loop transfer function of a unity - feedback system is $$$G\left( s \right) = {G_1}\left( s \right).{e^{ - s{\tau ...
GATE EE 2000
GO TO QUESTION
The asymptotic magnitude Body plot of a system is given in Figure. Find the transfer function of the system analytically...
GATE EE 1998
GO TO QUESTION
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