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GATE ECE
Frequency Response Analysis
Control Systems
Previous Years Questions
START HERE
Marks 1
More
Consider a closed-loop control system with unity negative feedback and KG(s) in the forward path, where the gain K = 2. ...
GATE ECE 2022
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The number and direction of encirclements around the point −1 + j0 in the complex plane by the Nyquist plot of G(s) =$${...
GATE ECE 2016 Set 2
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A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function
GATE ECE 2016 Set 1
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The popular plot of the transfer function G(s)=$${{10\left( {s + 1} \right)} \over {\left( {s + 10} \right)}}$$ for $$0 ...
GATE ECE 2015 Set 1
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Consider the Bode plot shown in the figure. Assume that all the poles and zeroes are real-valued. The value of fH - fL ...
GATE ECE 2015 Set 3
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The phase margin (in degrees) of the system G(s)=$${{10} \over {\left( {s + 10} \right)}}$$ is ___________.
GATE ECE 2015 Set 3
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Consider the feedback system shown in the figure. The Nyquist plot of G(s) is also shown. Which one of the following con...
GATE ECE 2014 Set 1
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In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a 4th order all-po...
GATE ECE 2014 Set 4
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The Bode plot of a transfer function G (s) is shown in the figure below. The gain (20 log $$\left| {G(s)} \right|$$ ...
GATE ECE 2013
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A system with transfer function g(s) = $${{\left( {{s^2} + 9} \right)\left( {s + 2} \right)} \over {\left( {s + 1} \rig...
GATE ECE 2012
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For the transfer function G$$\left( {j\omega } \right) = 5 + j\omega ,$$ the corresponding Nyquist plot for positive fr...
GATE ECE 2011
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A system with the transfer function $${{Y(s)} \over {X(s)}} = {s \over {s + p}},$$ has an output y(t)=$$\cos \left( {2t...
GATE ECE 2010
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For the asymptotic Bode magnitude plot shown below, the system transfer function can be ...
GATE ECE 2010
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If the closed-loop transfer function of a control system is given as T(s)=$${{s - 5} \over {(s + 2)(s + 3)}},$$ then it ...
GATE ECE 2007
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In the system shown below, x(t)=(sin t). In steady-state, the response y(t) will be ...
GATE ECE 2006
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The open-loop transfer function of a unity-gain feedback control system is given by $$G(s) = {K \over {(s + 1)(s + 2)}},...
GATE ECE 2006
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Which one of the following polar diagrams corresponds to a lag network?
GATE ECE 2005
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The gain margin for the system with open-loop transfer function G(s)H(s)=$${{2(1 + s)} \over {{s^2}}}$$ is
GATE ECE 2003
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Figure shows the Nyquist plot of the open-loop transfer function G(s)H(s) of a system. If G(s)H(s) has one right hand po...
GATE ECE 2003
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The phase margin of a system with the open-loop transfer function G(s)H(s)=$${{(1 - s)} \over {(1 + s)(2 + s)}}$$ is?
GATE ECE 2002
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The Nyquist plot for the open-loop transfer function G(s) of a unity negative feedback system is shown in figure. if G(s...
GATE ECE 2001
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The phase margin (in degrees) of a system having the loop transfer function is $$G(s)H(s) = {{2\sqrt 3 } \over {s(s + 1)...
GATE ECE 1999
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The gain margin of a system having the loop transfer function G(s)H(s) =$${{\sqrt 2 } \over {s(s + 1)}}$$ is
GATE ECE 1999
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The Nyquist plot of a loop transfer function G$$(j\omega )$$ H$$(j\omega )$$, of a system encloses the (-1, j0) point. T...
GATE ECE 1998
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In the Bode-plot of a unity feedback control system, the value of phase of G($$j\omega $$) at the gain cross over freque...
GATE ECE 1998
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Non - minimum phase transfer function is defined as the transfer function
GATE ECE 1995
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The open loop frequency response of a system at two particular frequencies are given by: 1.2 $$\angle - 180^\circ $$ a...
GATE ECE 1994
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The 3-dB bandwidth of a typical second- order system with the transfer function $${{C\left( s \right)} \over {R(s)}} = {...
GATE ECE 1994
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Marks 2
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For a unity feedback control system with the forward path transfer function $$G(s) = {K \over {s\left( {s + 2} \right)}}...
GATE ECE 2018
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The figure below shows the Bode magnitude and phase plots of a stable transfer function $$G(s) = {{{n_0}} \over {{s^3} +...
GATE ECE 2018
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A unity feedback control system is characterized by the open loop transfer function $$G(s) = {{10k\left( {s + 2} \right...
GATE ECE 2017 Set 2
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The Nyquist plot of the transfer function $$G(s) = {k \over {\left( {{s^2} + 2s + 2} \right)\left( {s + 2} \right)}}$$ ...
GATE ECE 2017 Set 1
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In the feedback system shown below $${\rm{G(s) = }}{1 \over {\left( {s + 1} \right)\left( {s + 2} \right)\left( {s + 3...
GATE ECE 2016 Set 2
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The asymptotic Bode phase plot of $${\rm{G(s) = }}{k \over {\left( {s + 0.1} \right)\left( {s + 10} \right)\left( {s + ...
GATE ECE 2016 Set 2
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The transfer function of a mass-spring damper system is given by $${\rm{G(s) = }}{1 \over {M{s^2} + Bs + K}}$$ The freq...
GATE ECE 2015 Set 2
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The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the system is connected in a ...
GATE ECE 2014 Set 2
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The phase margin in degrees of G(s)=$${{10} \over {\left( {s + 0.1} \right)\left( {s + 1} \right)\left( {s + 10} \right)...
GATE ECE 2014 Set 1
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The input-output transfer function of a plant is h(s)=$${{100} \over {s{{\left( {s + 10} \right)}^2}}}$$. The plant is p...
GATE ECE 2011
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The input-output transfer function of a plant is h(s)=$${{100} \over {s{{\left( {s + 10} \right)}^2}}}$$. The plant is p...
GATE ECE 2011
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The Nyquist plot of a stable transfer function G(s) is shown in the figure. We are interested in the stability of the cl...
GATE ECE 2009
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The Nyquist plot of a stable transfer function G(s) is shown in the figure. We are interested in the stability of the cl...
GATE ECE 2009
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The impulse response h(t) of a linear time invariant system is given by h(t) = $${e^{ - 2t}}u(t),$$ where u(t) denotes t...
GATE ECE 2008
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The magnitude of frequency response of an underdamped second order system is 5 at 0 rad/sec and peaks to $${{10} \over {...
GATE ECE 2008
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The impulse response h(t) of a linear time invariant system is given by h(t) = $${e^{ - 2t}}u(t),$$ where u(t) denotes t...
GATE ECE 2008
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The asymptotic Bode plot of a transfer function is shown in the figure. the transfer function G(s) corresponding to this...
GATE ECE 2007
GO TO QUESTION
Consider a unity-gain feedback control system whose open-loop transfer function is G(s)=$${{as + 1} \over {{s^2}}}$$. W...
GATE ECE 2006
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Consider a unity-gain feedback control system whose open-loop transfer function is G(s)=$${{as + 1} \over {{s^2}}}$$ T...
GATE ECE 2006
GO TO QUESTION
The Nyquist plot of G(jω)H(jω) for a closed loop control system, passes through (-1,j0) point in the GH plane. The gain ...
GATE ECE 2006
GO TO QUESTION
Consider two transfer functions $${G_1}\left( s \right) = {1 \over {{s^2} + as + b}}$$ and $${G_2}\left( s \right) = {s ...
GATE ECE 2006
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The open loop transfer function of a unity feedback system is given by g(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \ri...
GATE ECE 2005
GO TO QUESTION
The polar diagram of a conditionally stable system for open loop gain K=1 is shown in figure. The open loop transfer fun...
GATE ECE 2005
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The open loop transfer function of a unity feedback system is given by G(s)=$${{3{e^{ - 2s}}} \over {s\left( {s + 2} \r...
GATE ECE 2005
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A system has poles at 0.01 Hz, 1Hz and 80 Hz; zeroes at 5hz, 100 Hz and 200 Hz. The approximate phase of the system resp...
GATE ECE 2004
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Consider the Bode magnitude plot shown in figure. The transfer function H(s) is ...
GATE ECE 2004
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The gain margin and the phase margin of a feedback system with G(s)H(s)=$${s \over {{{\left( {s + 100} \right)}^3}}}$$ ...
GATE ECE 2003
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The approximate Bode magnitude plot of a minimum-phase system is shown in figure. The transfer function of the system is...
GATE ECE 2003
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The system with the open loop transfer function G(s)H(s)=$${1 \over {s\left( {{s^2} + s + 1} \right)}},$$ has a gain mar...
GATE ECE 2002
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The open-loop DC gain of a unity negative feedback system with closed-loop transfer function $${{s + 4} \over {{s^2} + 7...
GATE ECE 2001
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Bode plot of a stable system is shown in fig. The transfer function of the system is ...
GATE ECE 1992
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The open-loop transfer function of a feedback control system is G(s)=$${1 \over {{{\left( {s + 1} \right)}^3}}}$$The ga...
GATE ECE 1991
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From the Nicholas chart, one can determine the following quantities pertaining to a closed loop system:
GATE ECE 1989
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A system has fourteen poles and two zeroes. Its high frequency asymptote, in its magnitude plot, has having a slope of
GATE ECE 1987
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The popular plot of G(s)=$${{10} \over {s{{\left( {s + 1} \right)}^2}}},$$ intercepts real axix at $$\omega = {\omega _...
GATE ECE 1987
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Marks 5
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The Nyquist plot of an all-pole second order open-loop system is shown in Figure. Obtain the transfer function of the s...
GATE ECE 2002
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Consider a feedback system with the open loop transfer function given by $$G(s)H(s) = {K \over {s\left( {2s + 1} \right)...
GATE ECE 1999
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The asymptotic bode plot of the minimum phase open-loop transfer function G(s)H(s) is as shown in the figure. Obtain the...
GATE ECE 1999
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The loop transfer function of a single loop control system is given by $$G(s)H(s) = {{100} \over {s\left( {1 + 0.01s} \r...
GATE ECE 1998
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Marks 8
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A unity feedback system has open-loop transfer function $$G(s) = {1 \over {s\left( {2s + 1} \right)\left( {s + 1} \right...
GATE ECE 1992
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The magnitude plot of the open loop transfer function G(s), of a certain system is given in fig, (a) Determine G(s), if...
GATE ECE 1987
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Marks 10
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Nyquist plot consider a feed back system where the OLTF is: $$G(s) = {1 \over {s\left( {2s + 1} \right)\left( {s + 1} \r...
GATE ECE 1989
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