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Recent questions and answers in Control Systems
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GATE ECE 2021  Question: 13
The block diagram of a feedback control system is shown in the figure The transfer function $\dfrac{Y{\left ( s \right )}}{X {\left ( s \right )}}$ of the system is $\frac{G_{1}+G_{2}+G_{1}G_{2}H}{1+G_{1}H}$ $\frac{G_{1}+G_{2}}{1+G_{1}H+G_{2}H}$ $\frac{G_{1}+G_{2}}{1+G_{1}H}$ $\frac{G_{1}+G_{2}+G_{1}G_{2}H}{1+G_{1}H+G_{2}H}$
asked
Feb 20
in
Control Systems
by
Arjun
(
4.5k
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33
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gateec2021
controlsystems
0
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0
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2
GATE ECE 2020  Question: 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 $110101$ $110010$ $111101$ $111001$
asked
Feb 13, 2020
in
Control Systems
by
jothee
(
1.9k
points)

61
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gate2020ec
controlsystems
0
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0
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3
GATE ECE 2020  Question: 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, 2020
in
Control Systems
by
jothee
(
1.9k
points)

50
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gate2020ec
statediagram
sequencedetector
controlsystems
0
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0
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4
GATE ECE 2020  Question: 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, 2020
in
Control Systems
by
jothee
(
1.9k
points)

43
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gate2020ec
controlsystems
bodeandrootlocusplots
0
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0
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5
GATE ECE 2020  Question: 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 $14.92$ $34.46$ $59.68$ $79.58$
asked
Feb 13, 2020
in
Control Systems
by
jothee
(
1.9k
points)

22
views
gate2020ec
controlsystems
0
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0
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6
GATE ECE 2019  Question: 29
It is desired to find a threetap casual filter which gives zero signal as an output to an input of the form $x[n]= c_{1}exp\left(\dfrac{j\pi n}{2}\right)+c_{2}\left(\dfrac{j\pi n}{2}\right),$ where $c_{1}$ and $c_{2}$ are arbitrary real numbers. The desired threetap filter is ... $n$, when $x[n]$ is as given above ? $a=1,b=1$ $a=0,b=1$ $a=1,b=1$ $a=0,b=1$
asked
Feb 12, 2019
in
Control Systems
by
Arjun
(
4.5k
points)

110
views
gate2019ec
controlsystems
0
votes
0
answers
7
GATE ECE 2019  Question: 39
The state transition diagram for the circuit shown is
asked
Feb 12, 2019
in
Control Systems
by
Arjun
(
4.5k
points)

75
views
gate2019ec
statetransitiondiagram
controlsystems
0
votes
0
answers
8
GATE ECE 2016 Set 3  Question: 6
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 $8$ $12$ $16$ $32$
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

29
views
gate2016ec3
controlsystems
nyquist
0
votes
0
answers
9
GATE ECE 2016 Set 3  Question: 19
The block diagram of a feedback control system is shown in the figure. The overall closedloop gain of $G$ of the system is $G = \large\frac{G_1G_2}{1+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1G_2H_1}$
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

48
views
gate2016ec3
controlsystems
blockdiagramrepresentation
0
votes
0
answers
10
GATE ECE 2016 Set 3  Question: 20
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 $0$ $0.5$ $1.0$ $\infty$
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

51
views
gate2016ec3
controlsystems
transferfunction
0
votes
0
answers
11
GATE ECE 2016 Set 3  Question: 22
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 _______
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

30
views
gate2016ec3
numericalanswers
controlsystems
nyquist
probability
0
votes
0
answers
12
GATE ECE 2016 Set 3  Question: 46
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)

41
views
gate2016ec3
controlsystems
routhhurwitz
0
votes
0
answers
13
GATE ECE 2016 Set 2  Question: 9
The $z$parameter matrix for the twoport network shown is $\begin{bmatrix} 2j\omega &j\omega \\ j\omega & 3+2j\omega \end{bmatrix},$ where the entries are in $\Omega$. Suppose $Z_{b}\left ( j\omega \right )=R_{b}+j\omega .$ Then the value of $R_{b}$ (in $\Omega$) equals ________
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

35
views
gate2016ec2
numericalanswers
controlsystems
0
votes
0
answers
14
GATE ECE 2016 Set 2  Question: 20
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.
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

33
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gate2016ec2
controlsystems
nyquist
0
votes
0
answers
15
GATE ECE 2016 Set 2  Question: 47
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
(
15.8k
points)

28
views
gate2016ec2
numericalanswers
controlsystems
bodeandrootlocusplots
0
votes
0
answers
16
GATE ECE 2016 Set 1  Question: 5
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 $F(x)$?
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

36
views
gate2016ec1
controlsystems
bodeandrootlocusplots
0
votes
0
answers
17
GATE ECE 2016 Set 1  Question: 19
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)

49
views
gate2016ec1
controlsystems
routhhurwitz
0
votes
0
answers
18
GATE ECE 2016 Set 1  Question: 20
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. ... 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)

41
views
gate2016ec1
controlsystems
nyquist
0
votes
0
answers
19
GATE ECE 2015 Set 3  Question: 19
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
(
15.8k
points)

45
views
gate2015ec3
numericalanswers
controlsystems
bodeandrootlocusplots
0
votes
0
answers
20
GATE ECE 2015 Set 3  Question: 47
For the system shown in the figure, $s=2.75$ lies on the root locus if $K$ is _______.
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
(
15.8k
points)

41
views
gate2015ec3
numericalanswers
bodeandrootlocusplots
controlsystems
0
votes
0
answers
21
GATE ECE 2015 Set 3  Question: 54
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 ... line $(z = 0)$ is also drawn in the figure. The value of $R_{L}\: \text{(in}\: \Omega)$ is ________.
asked
Mar 28, 2018
in
Control Systems
by
Milicevic3306
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15.8k
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36
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gate2015ec3
numericalanswers
controlsystems
transientresponse
0
votes
0
answers
22
GATE ECE 2015 Set 2  Question: 20
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)

31
views
gate2015ec2
controlsystems
signalflowgraph
0
votes
0
answers
23
GATE ECE 2015 Set 1  Question: 19
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)

24
views
gate2015ec1
controlsystems
feedbackprinciple
0
votes
0
answers
24
GATE ECE 2015 Set 1  Question: 20
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
(
15.8k
points)

17
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gate2015ec1
numericalanswers
controlsystems
bodeandrootlocusplots
0
votes
0
answers
25
GATE ECE 2014 Set 4  Question: 20
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
(
15.8k
points)

29
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gate2014ec4
controlsystems
bodeandrootlocusplots
0
votes
0
answers
26
GATE ECE 2014 Set 2  Question: 20
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)

41
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gate2014ec2
numericalanswers
controlsystems
dampednaturalfrequency
0
votes
0
answers
27
GATE ECE 2014 Set 2  Question: 30
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
(
15.8k
points)

37
views
gate2014ec2
numericalanswers
controlsystems
frequencyresponse
0
votes
0
answers
28
GATE ECE 2014 Set 2  Question: 47
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
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15.8k
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33
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gate2014ec2
numericalanswers
controlsystems
bodeandrootlocusplots
0
votes
0
answers
29
GATE ECE 2014 Set 1  Question: 18
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
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Milicevic3306
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15.8k
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42
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gate2014ec1
numericalanswers
nyquist
controlsystems
0
votes
0
answers
30
GATE ECE 2014 Set 1  Question: 21
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
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Milicevic3306
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41
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gate2014ec1
controlsystems
nyquist
0
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31
GATE ECE 2014 Set 1  Question: 47
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
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Control Systems
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Milicevic3306
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15.8k
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30
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gate2014ec1
numericalanswers
bodeandrootlocusplots
controlsystems
0
votes
0
answers
32
GATE ECE 2013  Question: 40
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
in
Control Systems
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Milicevic3306
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68
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gate2013ec
transferfunction
controlsystems
signalflowgraph
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0
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33
GATE ECE 2013  Question: 21
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
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gate2013ec
controlsystems
0
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34
GATE ECE 2013  Question: 9
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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Control Systems
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gate2013ec
controlsystems
bodeandrootlocusplots
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1
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35
GATE ECE 2018  Question: 5
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 ... 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

109
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gate2018ec
controlsystems
nyquist
0
votes
0
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36
GATE ECE 2017 Set 2  Question: 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
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admin
(
2.8k
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115
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gate2017ec2
controlsystems
nyquist
0
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37
GATE ECE 2017 Set 2  Question: 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
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Nov 25, 2017
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Control Systems
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admin
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146
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gate2017ec2
lineartimeinvariantsystems
controlsystems
0
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0
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38
GATE ECE 2017 Set 2  Question: 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
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admin
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2.8k
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134
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gate2017ec2
numericalanswers
controlsystems
feedbackprinciple
0
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0
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39
GATE ECE 2017 Set 2  Question: 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 ____________
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Nov 25, 2017
in
Control Systems
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admin
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2.8k
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50
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gate2017ec2
transferfunction
lineartimeinvariantsystems
numericalanswers
controlsystems
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0
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40
GATE ECE 2017 Set 2  Question: 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 $\arg \{ H(f) \}=  2f.$ If the input to the ... $y(t)$ is ____________
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Nov 25, 2017
in
Control Systems
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admin
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2.8k
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54
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gate2017ec2
lineartimeinvariantsystems
numericalanswers
controlsystems
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