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GATE2020EC: 38
$P, Q$, and $R$ are the decimal integers corresponding to the $4$bit binary number $1100$ considered in signed magnitude, $1$’s complement, and $2$’s complement representations, respectively. The $6$bit $2$’s complement representation of $(P+Q+R)$ is $110101$ $110010$ $111101$ $111001$
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Feb 13
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gate2020ec
controlsystems
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2
GATE2020EC: 39
The state diagram of a sequence detector is shown below. State $S_{0}$ is the initial state of the sequence detector. If the output is $1$, then the sequence $01010$ is detected. the sequence $01011$ is detected. the sequence $01110$ is detected. the sequence $01001$ is detected.
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Feb 13
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gate2020ec
statediagram
sequencedetector
controlsystems
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3
GATE2020EC: 40
The characteristic equation of a system is $s^{3}+3s^{2}+\left ( K+2 \right )s+3K=0.$ In the root locus plot for the given system, as $K$ varies from $0$ to $\infty$, the breakaway or breakin points(s) lie within $(1, 0)$ $(2, 1)$ $(3, 2)$ $(\infty, 3)$
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Feb 13
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jothee
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gate2020ec
controlsystems
locusplot
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4
GATE2020EC: 41
The components in the circuit given below are ideal. If $R=2\:k \Omega$ and $C=1$ $\mu F$, the $3$ dB cutoff frequency of the circuit in Hz is $14.92$ $34.46$ $59.68$ $79.58$
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Feb 13
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jothee
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gate2020ec
controlsystems
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5
GATE201636
Consider the signal $x(t) = \cos(6\pi t) + \sin (8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is $8$ $12$ $16$ $32$
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Mar 28, 2018
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Milicevic3306
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gate2016ec3
controlsystems
nyquistsampling
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0
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6
GATE2016319
The block diagram of a feedback control system is shown in the figure. The overall closedloop gain of $G$ of the system is $G = \large\frac{G_1G_2}{1+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1G_2H_1}$
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec3
controlsystems
closedloopgain
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0
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7
GATE2016320
For the unity feedback control system shown in the figure, the openloop transfer function $G(s)$ is given as $G(s) = \frac{2}{s(s+1)}$ The steady state error $e_{ss}$ due to a unit step input is $0$ $0.5$ $1.0$ $\infty$
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Mar 28, 2018
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Milicevic3306
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gate2016ec3
controlsystems
networksolutionmethods
steadystate
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0
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8
GATE2016322
An analog baseband signal, bandlimited to $100\ Hz$, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities $p_1 = p_4 = 0.125$ and $p_2 = p_3$. The information rate (bits/sec) of the message source is _______
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Mar 28, 2018
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gate2016ec3
numericalanswers
controlsystems
nyquist
probability
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0
answers
9
GATE2016346
The first two rows in the Routh table for the characteristic equation of a certain closedloop control system are given as $\begin{array}{ccc} \hline s^3 & 1 &(2K+3) \\ s^2 & 2K & 4 \end{array}$ The range of $K$ for which the system is stable is $2.0<K<0.5$ $0<K<0.5$ $0<K<\infty$ $0.5<K<\infty$
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Mar 28, 2018
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Milicevic3306
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gate2016ec3
controlsystems
0
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0
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10
GATE2016220
The number and direction of encirclements around the point $1+j0$ in the complex plane by the Nyquist plot of $G(s)=\frac{1s}{4+2s}$ is zero. one,anticlockwise. one, clockwise. two, clockwise.
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Mar 28, 2018
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by
Milicevic3306
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gate2016ec2
controlsystems
nyquistplot
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0
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11
GATE2016247
The asymptotic Bode phase plot of $G\left ( s \right )=\frac{k}{\left ( s+0.1 \right )\left ( s+10 \right )\left ( s+p_{1} \right )},$ with $k$ and $p_{1}$ both positive, is shown below. The value of $p_{1}$ is _______
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Mar 28, 2018
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gate2016ec2
numericalanswers
controlsystems
bodeplots
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0
answers
12
GATE201615
Consider the plot $f(x)$ versus $x$ as shown below. Suppose $F(x)= \int_{5}^{x} f(y) dy$. Which one of the following is a graph of $F(x)$?
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Mar 28, 2018
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Milicevic3306
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15.7k
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gate2016ec1
controlsystems
0
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0
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13
GATE2016119
Match the inferences $X$, $Y$ and $Z$ ... $X \to R, \: Y \to Q, \: Z \to P$ $X \to P, \: Y \to R, \: Z \to Q$
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Mar 28, 2018
in
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Milicevic3306
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15.7k
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gate2016ec1
controlsystems
0
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0
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14
GATE2016120
A closedloop control system is stable if the Nyquist plot of the corresponding openloop transfer function encircles the $s$plane point $(1+j0)$ in the counter clockwise direction as many times as the number of righthalf $s$plane poles. encircles the $s$ ... $s$plane point $(1+j0)$ in the counterclockwise direction as many times as the number of righthalf $s$plane zeroes.
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Mar 28, 2018
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Milicevic3306
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gate2016ec1
controlsystems
0
votes
0
answers
15
GATE2015317
The impulse response of an LTI system can be obtained by differentiating the unit ramp response differentiating the unit step response integrating the unit ramp response integrating the unit step response
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Mar 28, 2018
in
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by
Milicevic3306
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15.7k
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gate2015ec3
controlsystems
ltisystems
0
votes
0
answers
16
GATE2015319
Consider the Bode plot shown in the figure. Assume that all the poles and zeros are realvalued. The value of $f_{H}\: – f_{L}\:( \text{in}\: Hz)$ is ___________.
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Mar 28, 2018
in
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Milicevic3306
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15.7k
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gate2015ec3
numericalanswers
controlsystems
bodeplots
0
votes
0
answers
17
GATE2015354
A $200\: m$ long transmission line having parameters shown in the figure is terminated into a load ܴ$R_{L}$. The line is connected to a $400\: V$ source having source resistance $R_{S}$ through a switch, which is closed at $t = 0.$ The transient response of the circuit at the ... the line $(z = 0)$ is also drawn in the figure. The value of $R_{L}\: \text{(in}\: \Omega)$ is ________.
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Mar 28, 2018
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Milicevic3306
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gate2015ec3
numericalanswers
controlsystems
transient
0
votes
0
answers
18
GATE2015119
Negative feedback in a closedloop control system $\textbf{ DOES NOT}$ reduce the overall gain reduce bandwidth improve disturbance rejection reduce sensitivity to parameter variation
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Mar 28, 2018
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Milicevic3306
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gate2015ec1
controlsystems
0
votes
0
answers
19
GATE2015120
A unity negative feedback system has the openloop transfer function $G(s) = \frac{K}{s(s+1)(s+3)}$. The value of the gain $K (>0)$ at which the root locus crosses the imaginary axis is ________
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Mar 28, 2018
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Milicevic3306
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gate2015ec1
numericalanswers
controlsystems
rootlocusplots
0
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0
answers
20
GATE2014420
In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a $4$th order allpole system? $80$ dB/decade $40$ dB/decade $+40$ dB/decade $+80$ dB/decade
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Mar 26, 2018
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Milicevic3306
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gate2014ec4
controlsystems
bodeplots
0
votes
0
answers
21
GATE2014211
The feedback topology in the amplifier circuit ( the base bias circuit is not shown for simplicity) in the figure is voltage shunt feedback current series feedback current shunt feedback voltage series feedback
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Mar 26, 2018
in
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Milicevic3306
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gate2014ec2
analogcircuits
controlsystems
0
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0
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22
GATE2014220
The natural frequency of an undamped secondorder system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___________.
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Mar 26, 2018
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Milicevic3306
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gate2014ec2
numericalanswers
controlsystems
damping
0
votes
0
answers
23
GATE2014230
A series LCR circuit is operated at a frequency different from its resonant frequency. The operating frequency is such that the current leads the supply voltage. The magnitude of current is half the value at resonance. If the values of L, C and R are $1$ H, $1$ F and $1 \Omega$, respectively, the operating angular frequency (in rad/s) is _________.
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Mar 26, 2018
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Milicevic3306
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gate2014ec2
numericalanswers
controlsystems
0
votes
0
answers
24
GATE2014247
The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the system is connected in a unity negative feedback configuration, the steady state error of the closed loop system, to a unit ramp input, is _________.
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Mar 26, 2018
in
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Milicevic3306
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gate2014ec2
numericalanswers
controlsystems
bodeplot
0
votes
0
answers
25
GATE2014112
In the ac equivalent circuit shown in the figure, if $i_{in}$ is the input current and $R_{F}$ is very large, the type of feedback is voltagevoltage feedback voltagecurrent feedback currentvoltage feedback currentcurrent feedback
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Mar 26, 2018
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Milicevic3306
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gate2014ec1
analogcircuits
controlsystems
0
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0
answers
26
GATE2014118
Consider two real valued signals, $x(t)$ bandlimited to $[500\:Hz,500\:Hz]$ and $y(t)$ bandlimited to $[1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist sampling frequency (in $kHz$) is _______.
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Mar 26, 2018
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Milicevic3306
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gate2014ec1
numericalanswers
nyquistsampling
controlsystems
0
votes
0
answers
27
GATE2014121
Consider the feedback system shown in the figure. The Nyquist plot of $G(s)$ is also shown. Which one of the following conclusions is correct? $G(s)$ is an allpass filter $G(s)$ is a strictly proper transfer function $G(s)$ is a stable and minimumphase transfer function The closedloop system is unstable for sufficiently large and positive $k$
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Mar 26, 2018
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Milicevic3306
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gate2014ec1
controlsystems
nyquist
0
votes
0
answers
28
GATE2014147
The phase margin in degrees of $G(s) = \dfrac{10}{(s+0.1)(s+1)(s+10)}$ calculated using the asymptotic Bode plot is ______.
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Mar 26, 2018
in
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Milicevic3306
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gate2014ec1
numericalanswers
bodeplots
controlsystems
0
votes
0
answers
29
GATE201340
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is $\frac{s+1}{5s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+4s+2} \\$ $\frac{1}{5s^{2}+6s+2}$
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Mar 26, 2018
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Milicevic3306
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gate2013ec
controlsystems
0
votes
0
answers
30
GATE201321
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is $u(t)$ $tu(t)$ $\frac{t^{2}}{2}u(t)$ $e^{t}u(t)$
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Mar 26, 2018
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gate2013ec
controlsystems
electricalengineering
0
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0
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31
GATE20139
The Bode plot of a transfer function $G(s)$ is shown in the figure below. The gain $(20\log \mid G(s)\mid)$ is $32\:dB$ and $8\:dB$ at $1\:rad/s$ and $10\:rad/s$ respectively. The phase is negative for all $\omega.$ Then $G(s)$ is $\frac{39.8}{s} \\$ $\frac{39.8}{s^{2}} \\$ $\frac{32}{s} \\$ $\frac{32}{s^{2}} \\$
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Mar 26, 2018
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gate2013ec
controlsystems
0
votes
1
answer
32
GATE20185
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the following statements is FALSE: Both the criteria provide information relative to the stable gain ... Nyquist criterion. The closedloop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.
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Feb 19, 2018
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gatecse
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1.4k
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gate2018ec
controlsystems
nyquist
0
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0
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33
GATE2017 EC2: 46
A unity feedback control system is characterized by the openloop transfer function $G(s)=\frac{2(s+1)}{s^3+ks^2+2s+1}$ The value of $k$ for which the system oscillates at $2$ rad/s is ___________
asked
Nov 25, 2017
in
Control Systems
by
admin
(
2.8k
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gate2017ec2
numericalanswers
controlsystems
0
votes
0
answers
34
GATE2017 EC2: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
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Nov 23, 2017
in
Control Systems
by
admin
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2.8k
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gate2017ec2
numericalanswers
controlsystems
0
votes
0
answers
35
GATE2017 EC2: 20
Which of the following statements is incorrect? Lead compensator is used to reduce the settling time. Lag compensator is used to reduce the steady state error. Lead compensator may increase the order of a system. Lag compensator always stabilizes an unstable system.
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Nov 23, 2017
in
Control Systems
by
admin
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2.8k
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gate2017ec2
lagleadcompensation
controlsystems
0
votes
0
answers
36
GATE2017 EC1: 49
The Nyquist plot of the transfer function $G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$ does not encircle the point $(1+j0)$ for $K=10$ but does encircle the point $(1+j0)$ for $K=100$ ... for $K=10$ and unstable for $K=100$ unstable for $K=10$ and stable for $K=100$ stable for $K=10$ and unstable for $K=100$
asked
Nov 17, 2017
in
Control Systems
by
admin
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2.8k
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gate2017ec1
nyquistplot
controlsystems
0
votes
0
answers
37
GATE2017 EC1: 15
A good transconductance amplifier should have high input resistance and low output resistance low input resistance and high output resistance high input and output resistances low input and output resistances
asked
Nov 17, 2017
in
Control Systems
by
admin
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2.8k
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gate2017ec1
controlsystems
transconductance
0
votes
0
answers
38
GATE2017 EC1: 19
Consider a stable system with transfer function,$G(s)=\frac{s^{p}+b_{1}s^{p1}+\dots +b_{p}}{s^{q}+a_{1}s^{q1}+\dots +a_{q}}$, where $b_1, \dots ,b_p$ and $a_1, \dots ,a_q$ are real valued constants.The slope of the Bode log magnitude curve of $G(s)$ ... pair of values for $p$ and $q$ is $p=0$ and $q=3$ $p=1$ and $q=7$ $p=2$ and $q=3$ $p=3$ and $q=5$
asked
Nov 17, 2017
in
Control Systems
by
admin
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2.8k
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gate2017ec1
bodeplot
controlsystems
0
votes
0
answers
39
GATE2017 EC1: 18
The open loop transfer function $G(s)=\frac{(s+1)}{s^{p}(s+2)(s+3)}$ where $p$ is an integer, is connected in unity feedback configuration as shown in figure. Given that the steady state error is zero for unit step input and is $6$ for unit ramp input, the parameter $p$ is__________.
asked
Nov 17, 2017
in
Control Systems
by
admin
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2.8k
points)
gate2017ec1
numericalanswers
controlsystems
openlooptransferfunction
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