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Recent questions and answers in Control Systems
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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
in
Control Systems
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jothee
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gate2020ec
controlsystems
0
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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.
asked
Feb 13
in
Control Systems
by
jothee
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1.4k
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gate2020ec
statediagram
sequencedetector
controlsystems
0
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0
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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 $(1, 0)$ $(2, 1)$ $(3, 2)$ $(\infty, 3)$
asked
Feb 13
in
Control Systems
by
jothee
(
1.4k
points)
gate2020ec
controlsystems
bodeandrootlocusplots
0
votes
0
answers
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
in
Control Systems
by
jothee
(
1.4k
points)
gate2020ec
controlsystems
0
votes
0
answers
5
GATE2019 EC: 39
The state transition diagram for the circuit shown is
asked
Feb 12, 2019
in
Control Systems
by
Arjun
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1.4k
points)
gate2019ec
statetransitiondiagram
controlsystems
0
votes
0
answers
6
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
in
Control Systems
by
Milicevic3306
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15.8k
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gate2016ec3
controlsystems
nyquist
0
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0
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7
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
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2016ec3
controlsystems
blockdiagramrepresentation
0
votes
0
answers
8
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
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2016ec3
controlsystems
transferfunction
0
votes
0
answers
9
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
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2016ec3
numericalanswers
controlsystems
nyquist
probability
0
votes
0
answers
10
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 $2.0<K<0.5$ $0<K<0.5$ $0<K<\infty$ $0.5<K<\infty$
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2016ec3
controlsystems
routhhurwitz
0
votes
0
answers
11
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
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2016ec2
controlsystems
nyquist
0
votes
0
answers
12
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 _______
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2016ec2
numericalanswers
controlsystems
bodeandrootlocusplots
0
votes
0
answers
13
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
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2016ec1
controlsystems
bodeandrootlocusplots
0
votes
0
answers
14
GATE2016119
Match the inferences $X$, $Y$ and $Z$ ... $X \to R, \: Y \to Q, \: Z \to P$ $X \to P, \: Y \to R, \: Z \to Q$
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2016ec1
controlsystems
routhhurwitz
0
votes
0
answers
15
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.
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2016ec1
controlsystems
nyquist
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 ___________.
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2015ec3
numericalanswers
controlsystems
bodeandrootlocusplots
0
votes
0
answers
17
GATE2015347
For the system shown in the figure, $s=2.75$ lies on the root locus if $K$ is _______.
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Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2015ec3
numericalanswers
bodeandrootlocusplots
controlsystems
0
votes
0
answers
18
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
in
Control Systems
by
Milicevic3306
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15.8k
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gate2015ec3
numericalanswers
controlsystems
transientresponse
0
votes
0
answers
19
GATE2015220
For the signal flow graph shown in the figure, the value of $\dfrac{C(s)}{R(s)}$ is $\dfrac{G_{1}G_{2}G_{3}G_{4}}{1  G_{1}G_{2}H_{1}  G_{3}G_{4}H_{2}  G_{2}G_{3}H_{3} +G_{1}G_{2}G_{3}G_{4}H_{1}H_{2}} \\$ ... $\dfrac{1}{1  G_{1}G_{2}H_{1}  G_{3}G_{4}H_{2}  G_{2}G_{3}H_{3} +G_{1}G_{2}G_{3}G_{4}H_{1}H_{2}}$
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2015ec2
controlsystems
signalflowgraph
0
votes
0
answers
20
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
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2015ec1
controlsystems
feedbackprinciple
0
votes
0
answers
21
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 ________
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2015ec1
numericalanswers
controlsystems
bodeandrootlocusplots
0
votes
0
answers
22
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
asked
Mar 26, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2014ec4
controlsystems
bodeandrootlocusplots
0
votes
0
answers
23
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 ___________.
asked
Mar 26, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2014ec2
numericalanswers
controlsystems
dampednaturalfrequency
0
votes
0
answers
24
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 _________.
asked
Mar 26, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2014ec2
numericalanswers
controlsystems
frequencyresponse
0
votes
0
answers
25
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 _________.
asked
Mar 26, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2014ec2
numericalanswers
controlsystems
bodeandrootlocusplots
0
votes
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 _______.
asked
Mar 26, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)
gate2014ec1
numericalanswers
nyquist
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
in
Control Systems
by
Milicevic3306
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15.8k
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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
Control Systems
by
Milicevic3306
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15.8k
points)
gate2014ec1
numericalanswers
bodeandrootlocusplots
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 $\frac{s+1}{5s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+4s+2} \\$ $\frac{1}{5s^{2}+6s+2}$
asked
Mar 26, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
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gate2013ec
transferfunction
controlsystems
signalflowgraph
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
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2013ec
controlsystems
0
votes
0
answers
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 $\frac{39.8}{s} \\$ $\frac{39.8}{s^{2}} \\$ $\frac{32}{s} \\$ $\frac{32}{s^{2}} \\$
asked
Mar 26, 2018
in
Control Systems
by
Milicevic3306
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15.8k
points)
gate2013ec
controlsystems
bodeandrootlocusplots
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.
answered
Feb 20, 2018
in
Control Systems
by
anonymous
gate2018ec
controlsystems
nyquist
0
votes
0
answers
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
points)
gate2017ec2
numericalanswers
controlsystems
feedbackprinciple
0
votes
0
answers
34
GATE2017 EC2: 48
A unity feedback control system is characterized by the openloop transfer function $G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$ The Nyquist path and the corresponding Nyquist plot of $G(s)$ are shown in the figures below. If $0 < K < 1$, then the number of poles of the closedloop transfer function that lie in the righthalf of the $s$plane is $0$ $1$ $2$ $3$
asked
Nov 25, 2017
in
Control Systems
by
admin
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2.8k
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gate2017ec2
controlsystems
nyquist
0
votes
0
answers
35
GATE2017 EC2: 47
A secondorder LTI system is described by the following state equations, $ \begin{array}{ll} \frac{d}{dt}x_1(t)x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{array}$ where $x_1(t)$ and $x_2(t)$ are the two state variables and $r(t)$ denotes the input. The output $c(t)=x_1(t)$. The system is undamped (oscillatory) underdamped critically damped overdamped
asked
Nov 25, 2017
in
Control Systems
by
admin
(
2.8k
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gate2017ec2
lineartimeinvariantsystems
controlsystems
0
votes
0
answers
36
GATE2017 EC2: 34
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system output $y(t)$ as $t\to \infty$ is ____________
asked
Nov 25, 2017
in
Control Systems
by
admin
(
2.8k
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gate2017ec2
transferfunction
lineartimeinvariantsystems
numericalanswers
controlsystems
0
votes
0
answers
37
GATE2017 EC2: 33
Consider an LTI system with magnitude response $\mid H(f) \mid=\begin{cases} 1\frac{\mid f \mid}{20}, & \mid f \mid \leq 20 \\ 0,& \mid f \mid > 20 \end{cases}$ and phase response $\arg \{ H(f) \}=  2f.$ ... $y(t)$ is ____________
asked
Nov 25, 2017
in
Control Systems
by
admin
(
2.8k
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gate2017ec2
lineartimeinvariantsystems
numericalanswers
controlsystems
0
votes
0
answers
38
GATE2017 EC2: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
asked
Nov 23, 2017
in
Control Systems
by
admin
(
2.8k
points)
gate2017ec2
numericalanswers
controlsystems
0
votes
0
answers
39
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
40
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
(
2.8k
points)
gate2017ec1
nyquist
controlsystems
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