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Hot questions in Control Systems
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1
GATE2015211
The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is $V_{i} = 2 \sin(2\pi × 2000t)$. The amplitude of the output voltage $V_{0}$ (in Volt) is ________.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
operationalamplifier
pidcontroller
numericalanswers
0
votes
0
answers
2
GATE2014151
In the figure shown, assume the opamp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function $\dfrac{V_o(\omega )}{V_i(\omega )}?$
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Feb 12, 2017
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Control Systems
by
makhdoom ghaya
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9.3k
points)
gate2014ee1
transfer
function
operationalamplifier
0
votes
0
answers
3
GATE2015224
An open loop control system results in a response of $e^{2t}(\sin 5t+\cos 5t)$ for a unit impulse input. The $DC$ gain of the control system is ________.
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2015ee2
openloopsystem
independantsystem
numericalanswers
0
votes
0
answers
4
GATE201328
The openloop transfer function of a dc motor is given as $\dfrac{\omega (s)}{V_a(s)}=\dfrac{10}{1+10s}$.When connected in feedback as shown below, the approximate value of $K_a$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the openloop system is $1$ $5$ $10$ $100$
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Feb 12, 2017
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Control Systems
by
piyag476
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1.5k
points)
gate2013ee
feedbacksystem
closedloopsystem
0
votes
0
answers
5
GATE2014246
The second order dynamic system $\frac{dX}{dt}=PX+Qu$ $y=RX$ has the matrices $P$, $Q$ and $R$ as follows: $P=\begin{bmatrix} 1 & 1\\ 0& 3 \end{bmatrix}$ ... system has the following controllability and observability properties: Controllable and observable Not controllable but observable Controllable but not observable Not controllable and not observable
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2014ee2
dynamicsystem
controlability
0
votes
0
answers
6
GATE2015110
The impulse response $g(t)$ of a system, $G$, is as shown in Figure $(a)$. What is the maximum value attained by the impulse response of two cascaded blocks of $G$ as shown in Figure $(b)$? $\frac{2}{3}$ $\frac{3}{4}$ $\frac{4}{5}$ $1$
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Feb 12, 2017
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Control Systems
by
makhdoom ghaya
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9.3k
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gate2015ee1
impulseresponse
cascadedblocks
0
votes
0
answers
7
GATE2015225
Nyquist plots of two functions $G_{1}(s)$ and $G_{2}(s)$ are shown in figure. Nyquist plot of the product of $G_{1}(s)$ and $G_{2}(s)$ is
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Feb 12, 2017
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Control Systems
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makhdoom ghaya
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9.3k
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gate2015ee2
stability
realroots
imaginaryroots
0
votes
0
answers
8
GATE201313
In the feedback network shown below,if the feedback factor $k$ is increased, then the input impedance increases and output impedance decreases. input impedance increases and output impedance also increases. input impedance decreases and output impedance also decreases. input impedance decreases and output impedance increases.
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Feb 12, 2017
in
Control Systems
by
piyag476
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1.5k
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gate2013ee
networkanalysis
branches
0
votes
0
answers
9
GATE2014345
Consider the system described by following state space equations $\begin{vmatrix} \dot{x_1}\\ \dot{x_2} \end{vmatrix}=\begin{vmatrix} 0 &1 \\ 1 & 1 \end{vmatrix}\begin{vmatrix} x_1\\x_2 \end{vmatrix}+\begin{vmatrix} 0\\1 \end{vmatrix}u$ ... $u$ is unit step input, then the steady state error of the system is $0$ $1/2$ $2/3$ $1$
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Feb 12, 2017
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Control Systems
by
makhdoom ghaya
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9.3k
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gate2014ee3
statespacefunctions
steadystateerror
0
votes
0
answers
10
GATE2014344
The block diagram of a system is shown in the figure If the desired transfer function of the system is $\frac{C(s)}{R(s)}=\frac{s}{s^2+s+1}$ then $G(s)$ is $1$ $s$ $1/s$ $\frac{s}{s^3+s^2s2}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
feedback
closedloopsystem
0
votes
0
answers
11
GATE2015152
In the signal flow diagram given in the figure, $u_{1}$ and $u_{2}$ are possible inputs whereas $y_{1}$ and $y_{2}$ are possible outputs. When would the SISO system derived from this diagram be controllable and observable? When $u_{1}$ is the only input and $y_{1}$ is ... is the only input and $y_{2}$ is the only output. When $u_{2}$ is the only input and $y_{2}$ is the only output.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
points)
gate2015ee1
flowdiagram
transferfunction
0
votes
0
answers
12
GATE2015139
The opamp shown in the figure has a finite gain $A = 1000$ and an infinite input resistance. A stepvoltage $V_{i} = 1 mV$ is applied at the input at time $t = 0$ as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage $V_{0}$ is $1001$ $101$ $11$ $1$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2015ee1
timeconstant
operationalamplifier
0
votes
0
answers
13
GATE2016239
The open loop transfer function of a unity feedback control system is given by $G(s)=\frac{k(s+1)}{s(1+Ts)(1+2S)'}, K > 0, T > 0.$ The closed loop system will be stable if $0 < T < \frac{4(K+1)}{K1}$ $0 < K < \frac{4(T+2)}{T2}$ $0 < K < \frac{T+2}{T2}$ $0 < T < \frac{8(k+1)}{K1}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
transferfunction
unityfeedbackcontrolsystem
0
votes
0
answers
14
GATE2016130
Consider the following asymptotic Bode magnitude plot (ω is in rad/s). Which one of the following transfer functions is best represented by the above Bode magnitude plot? $\frac{2s}{(1+0.5s)(1+0.25s)^{2}}$ $\frac{4(1+0.5s)}{s(1+0.25s)}$ $\frac{2s}{(1+2s)(1+4s)}$ $\frac{4s}{(1+2s)(1+4s)^{2}}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
logarithmicplot
gaink
integralandderivativefactor
0
votes
0
answers
15
GATE2016252
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function $G(s)=\frac{Ks}{(s1)(s4)}$ is $1$ $2$ $5$ $9$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
gain
breakawaypoint
unityfeedbacksystem
0
votes
0
answers
16
GATE201616
The transfer function of a system is $\frac{Y(s)}{R(s)}=\frac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of A and $\phi$ respectively are $\frac{1}{\sqrt{2}}$, 45° $\frac{1}{\sqrt{2}}$, +45° $\sqrt{2}$, 45° $\sqrt{2}$, +45°
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
laplacetransform
convolutionintegral
feedbacktransferfunction
0
votes
0
answers
17
GATE2016250
A secondorder real system has the following properties: a) the damping ratio $\zeta=0.5$ and undamped natural frequency $\omega _{n}=10$ rad/s b) the steady state value of the output, to a unit step input, is $1.02$. The transfer function of the system is $\frac{1.02}{s^{2}+5s+100}$ $\frac{102}{s^{2}+10s+100}$ $\frac{100}{s^{2}+10s+100}$ $\frac{102}{s^{2}+5s+100}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
dampingratio
naturalfrequency
0
votes
0
answers
18
GATE2016132
Loop transfer function of a feedback system is $G(s)H(s)=\frac{s+3}{s^{2}(s3)}$. Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of $G(s) H (s)$ encircles $1 + j0$ Once in clockwise direction Twice in clockwise direction Once in anticlockwise direction Twice in anticlockwise direction
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Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
closedloopsystem
nyquiststability
mapping
0
votes
0
answers
19
GATE2016131
Consider the following statespace representation of a linear timeinvariant system. $x(t)=\begin{pmatrix} 1&0 \\ 0&2 \end{pmatrix} x(t), y(t)= c^{T} x(t), c =\begin{pmatrix} 1& \\ 1& \end{pmatrix} \text {and} x(0)= \begin{pmatrix} 1& \\ 1& \end{pmatrix}$ The value of y(t) for $t =\log_{e} 2$ is __________.
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
transformation
statespaceequations
correlation
numericalanswers
0
votes
0
answers
20
GATE201617
The phase crossover frequency of the transfer function $G(s)=\frac{100}{(s+1)^{3}}$ in rad/s is $\sqrt{3}$ $\frac{1}{\sqrt{3}}$ $3$ $3\sqrt{3}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
points)
gate2016ee1
mathematicalrepresentation
crossoverfrequency
180phaseshift
bodestabilitycriteria
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