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Recent questions tagged control-systems
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GATE ECE 2024 | Question: 3
In the feedback control system shown in the figure below $G(s)=\frac{6}{s(s+1)(s+2)}$. $\text{R(s), Y(s)}$, and $\text{E(s)}$ are the Laplace transforms of $r(t), y(t)$, and $e(t)$, respectively. If the input $r(t)$ is a unit step function, ... $\lim _{t \rightarrow \infty} e(t)=\frac{1}{4}$ $\lim _{t \rightarrow \infty} e(t)$ does not exist, $e(t)$ is oscillatory
In the feedback control system shown in the figure below $G(s)=\frac{6}{s(s+1)(s+2)}$.$\text{R(s), Y(s)}$, and $\text{E(s)}$ are the Laplace transforms of $r(t),...
admin
46.4k
points
785
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admin
asked
Feb 16
Others
gateece-2024
steady-state
control-systems
laplace-transform
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0
votes
0
answers
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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 $\frac{G_{1}+G_{2}+G_{1}G_{2}H}{1+G_{1}H}$ $\frac{G_{1}+G_{2}}{1+G_{1}H+G_{2}H}$ $\frac{G_{1}+G_{2}}{1+G_{1}H}$ $\frac{G_{1}+G_{2}+G_{1}G_{2}H}{1+G_{1}H+G_{2}H}$
The block diagram of a feedback control system is shown in the figureThe transfer function $\dfrac{Y{\left ( s \right )}}{X {\left ( s \right )}}$ of the system is$\frac{...
Arjun
6.6k
points
277
views
Arjun
asked
Feb 19, 2021
Control Systems
gateec-2021
control-systems
+
–
1
votes
1
answer
3
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 $110101$ $110010$ $111101$ $111001$
$P, Q$, 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 repr...
go_editor
1.9k
points
542
views
go_editor
asked
Feb 13, 2020
Control Systems
gate2020-ec
control-systems
+
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0
votes
0
answers
4
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.
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 d...
go_editor
1.9k
points
349
views
go_editor
asked
Feb 13, 2020
Control Systems
gate2020-ec
state-diagram
sequence-detector
control-systems
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0
votes
0
answers
5
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 break-away or break-in points(s) lie within $(-1, 0)$ $(-2, -1)$ $(-3, -2)$ $(-\infty, -3)$
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 $\infty$, t...
go_editor
1.9k
points
128
views
go_editor
asked
Feb 13, 2020
Control Systems
gate2020-ec
control-systems
bode-and-root-locus-plots
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–
0
votes
0
answers
6
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 cut-off frequency of the circuit in Hz is $14.92$ $34.46$ $59.68$ $79.58$
The components in the circuit given below are ideal. If $R=2\:k \Omega$ and $C=1$ $\mu F$, the $-3$ dB cut-off frequency of the circuit in Hz is$14.92$$34.46$$59.68$$79.5...
go_editor
1.9k
points
106
views
go_editor
asked
Feb 13, 2020
Control Systems
gate2020-ec
control-systems
+
–
0
votes
0
answers
7
GATE ECE 2019 | Question: 29
It is desired to find a three-tap casual filter which gives zero signal as an output to an input of the form $x[n]= c_{1}exp\left(-\dfrac{j\pi n}{2}\right)+c_{2}\left(\dfrac{j\pi n}{2}\right),$ where $c_{1}$ and $c_{2}$ are arbitrary real numbers. The desired three-tap filter is ... $n$, when $x[n]$ is as given above ? $a=1,b=1$ $a=0,b=-1$ $a=-1,b=1$ $a=0,b=1$
It is desired to find a three-tap casual filter which gives zero signal as an output to an input of the form$$x[n]= c_{1}exp\left(-\dfrac{j\pi n}{2}\right)+c_{2}\left(\df...
Arjun
6.6k
points
223
views
Arjun
asked
Feb 12, 2019
Control Systems
gate2019-ec
control-systems
+
–
0
votes
0
answers
8
GATE ECE 2019 | Question: 39
The state transition diagram for the circuit shown is
The state transition diagram for the circuit shown is
Arjun
6.6k
points
202
views
Arjun
asked
Feb 12, 2019
Control Systems
gate2019-ec
state-transition-diagram
control-systems
+
–
0
votes
0
answers
9
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 $8$ $12$ $16$ $32$
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$$...
Milicevic3306
16.0k
points
102
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-3
control-systems
nyquist
+
–
0
votes
0
answers
10
GATE ECE 2016 Set 3 | Question: 19
The block diagram of a feedback control system is shown in the figure. The overall closed-loop gain of $G$ of the system is $G = \large\frac{G_1G_2}{1+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2H_1} \\$ $G = \large\frac{G_1G_2}{1+G_1G_2+G_1G_2H_1}$
The block diagram of a feedback control system is shown in the figure. The overall closed-loop gain of $G$ of the system is $G = \large\frac{G_1G_2}{1+G_1H_1} \\$$G = \la...
Milicevic3306
16.0k
points
174
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-3
control-systems
block-diagram-representation
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0
votes
0
answers
11
GATE ECE 2016 Set 3 | Question: 20
For the unity feedback control system shown in the figure, the open-loop 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 $0$ $0.5$ $1.0$ $\infty$
For the unity feedback control system shown in the figure, the open-loop transfer function $G(s)$ is given as$$G(s) = \frac{2}{s(s+1)}$$The steady state error $e_{ss}$ du...
Milicevic3306
16.0k
points
156
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-3
control-systems
transfer-function
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–
0
votes
0
answers
12
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 _______
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 pro...
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-3
numerical-answers
control-systems
nyquist
probability
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–
0
votes
0
answers
13
GATE ECE 2016 Set 3 | Question: 46
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as $\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\ s^2 & 2K & 4 \end{array}$ The range of $K$ for which the system is stable is $-2.0<K<0.5$ $0<K<0.5$ $0<K<\infty$ $0.5<K<\infty$
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as$$\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\...
Milicevic3306
16.0k
points
131
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-3
control-systems
routh-hurwitz
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–
0
votes
0
answers
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GATE ECE 2016 Set 2 | Question: 9
The $z$-parameter matrix for the two-port network shown is $\begin{bmatrix} 2j\omega &j\omega \\ j\omega & 3+2j\omega \end{bmatrix},$ where the entries are in $\Omega$. Suppose $Z_{b}\left ( j\omega \right )=R_{b}+j\omega .$ Then the value of $R_{b}$ (in $\Omega$) equals ________
The $z$-parameter matrix for the two-port network shown is $$\begin{bmatrix} 2j\omega &j\omega \\ j\omega & 3+2j\omega \end{bmatrix},$$ where the entries are in $\Omega$...
Milicevic3306
16.0k
points
121
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-2
numerical-answers
control-systems
+
–
0
votes
0
answers
15
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{1-s}{4+2s}$ is zero. one,anti-clockwise. one, clockwise. two, clockwise.
The number and direction of encirclements around the point $-1+j0$ in the complex plane by the Nyquist plot of $G(s)=\frac{1-s}{4+2s}$ iszero.one,anti-clockwise.one, cloc...
Milicevic3306
16.0k
points
159
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-2
control-systems
nyquist
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–
0
votes
0
answers
16
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 _______
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,...
Milicevic3306
16.0k
points
107
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-2
numerical-answers
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
17
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)$?
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 gra...
Milicevic3306
16.0k
points
153
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-1
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
18
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$
Match the inferences $X$, $Y$ and $Z$, about a system,to the corresponding properties of the elements of first column in Rouths' Table of the system characteristic equati...
Milicevic3306
16.0k
points
147
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-1
control-systems
routh-hurwitz
+
–
0
votes
0
answers
19
GATE ECE 2016 Set 1 | Question: 20
A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function encircles the $s$-plane point $(-1+j0)$ in the counter clockwise direction as many times as the number of right-half $s$-plane poles. ... plane point $(-1+j0)$ in the counterclockwise direction as many times as the number of right-half $s$-plane zeroes.
A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer functionencircles the $s$-plane point $(-1+j0)$ in the counter clockwis...
Milicevic3306
16.0k
points
139
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2016-ec-1
control-systems
nyquist
+
–
0
votes
0
answers
20
GATE ECE 2015 Set 3 | Question: 19
Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued. The value of $f_{H}\: – f_{L}\:( \text{in}\: Hz)$ is ___________.
Consider the Bode plot shown in the figure. Assume that all the poles and zeros are real-valued.The value of $f_{H}\: – f_{L}\:( \text{in}\: Hz)$ is ___________.
Milicevic3306
16.0k
points
194
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-3
numerical-answers
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
21
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 _______.
For the system shown in the figure, $s=-2.75$ lies on the root locus if $K$ is _______.
Milicevic3306
16.0k
points
117
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-3
numerical-answers
bode-and-root-locus-plots
control-systems
+
–
0
votes
0
answers
22
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 ________.
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 re...
Milicevic3306
16.0k
points
146
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-3
numerical-answers
control-systems
transient-response
+
–
0
votes
0
answers
23
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}}$
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}...
Milicevic3306
16.0k
points
142
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-2
control-systems
signal-flow-graph
+
–
0
votes
0
answers
24
GATE ECE 2015 Set 1 | Question: 19
Negative feedback in a closed-loop control system $\textbf{ DOES NOT}$ reduce the overall gain reduce bandwidth improve disturbance rejection reduce sensitivity to parameter variation
Negative feedback in a closed-loop control system $\textbf{ DOES NOT}$reduce the overall gainreduce bandwidthimprove disturbance rejectionreduce sensitivity to parameter ...
Milicevic3306
16.0k
points
133
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-1
control-systems
feedback-principle
+
–
0
votes
0
answers
25
GATE ECE 2015 Set 1 | Question: 20
A unity negative feedback system has the open-loop 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 ________
A unity negative feedback system has the open-loop 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 im...
Milicevic3306
16.0k
points
93
views
Milicevic3306
asked
Mar 27, 2018
Control Systems
gate2015-ec-1
numerical-answers
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
26
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 all-pole system? $-80$ dB/decade $-40$ dB/decade $+40$ dB/decade $+80$ dB/decade
In a Bode magnitude plot, which one of the following slopes would be exhibited at high frequencies by a $4$th order all-pole system?$-80$ dB/decade$-40$ dB/decade$+40$ dB...
Milicevic3306
16.0k
points
93
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-4
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
27
GATE ECE 2014 Set 2 | Question: 11
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
The feedback topology in the amplifier circuit ( the base bias circuit is not shown for simplicity) in the figure is ...
Milicevic3306
16.0k
points
83
views
Milicevic3306
asked
Mar 26, 2018
Analog Circuits
gate2014-ec-2
analog-circuits
control-systems
+
–
0
votes
0
answers
28
GATE ECE 2014 Set 2 | Question: 20
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___________.
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___...
Milicevic3306
16.0k
points
125
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
damped-natural-frequency
+
–
0
votes
0
answers
29
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 _________.
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 magn...
Milicevic3306
16.0k
points
136
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
frequency-response
+
–
0
votes
0
answers
30
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 _________.
The Bode asymptotic magnitude plot of a minimum phase system is shown in the figure. If the syste...
Milicevic3306
16.0k
points
115
views
Milicevic3306
asked
Mar 26, 2018
Control Systems
gate2014-ec-2
numerical-answers
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
31
GATE ECE 2014 Set 1 | Question: 12
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 voltage-voltage feedback voltage-current feedback current-voltage feedback current-current feedback
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 isvoltage-voltage feedbackvoltage-curre...
Milicevic3306
16.0k
points
164
views
Milicevic3306
asked
Mar 25, 2018
Analog Circuits
gate2014-ec-1
analog-circuits
control-systems
+
–
0
votes
0
answers
32
GATE ECE 2014 Set 1 | Question: 18
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist sampling frequency (in $kHz$) is _______.
Consider two real valued signals, $x(t)$ band-limited to $[-500\:Hz,500\:Hz]$ and $y(t)$ band-limited to $[-1\:kHz,1\:kHz].$ For $z(t) = x(t)\cdot y(t),$ the Nyquist samp...
Milicevic3306
16.0k
points
122
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
numerical-answers
nyquist
control-systems
+
–
0
votes
0
answers
33
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 all-pass filter $G(s)$ is a strictly proper transfer function $G(s)$ is a stable and minimum-phase transfer function The closed-loop system is unstable for sufficiently large and positive $k$
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 all-pass filter...
Milicevic3306
16.0k
points
151
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
control-systems
nyquist
+
–
0
votes
0
answers
34
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 ______.
The phase margin in degrees of $G(s) = \dfrac{10}{(s+0.1)(s+1)(s+10)}$ calculated using the asymptotic Bode plot is ______.
Milicevic3306
16.0k
points
104
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2014-ec-1
numerical-answers
bode-and-root-locus-plots
control-systems
+
–
0
votes
0
answers
35
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}$
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} \\$$\...
Milicevic3306
16.0k
points
265
views
Milicevic3306
asked
Mar 25, 2018
Control Systems
gate2013-ec
transfer-function
control-systems
signal-flow-graph
+
–
0
votes
0
answers
36
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 $u(t)$ $tu(t)$ $\frac{t^{2}}{2}u(t)$ $e^{-t}u(t)$
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)$$e^{-t}u(t)$
Milicevic3306
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GATE ECE 2013 | Question: 9
The Bode plot of a transfer function $G(s)$ is shown in the figure below. The gain $(20\log \mid G(s)\mid)$ is $32\:dB$ and $-8\:dB$ at $1\:rad/s$ and $10\:rad/s$ respectively. The phase is negative for all $\omega.$ Then $G(s)$ is $\frac{39.8}{s} \\$ $\frac{39.8}{s^{2}} \\$ $\frac{32}{s} \\$ $\frac{32}{s^{2}} \\$
The Bode plot of a transfer function $G(s)$ is shown in the figure below.The gain $(20\log \mid G(s)\mid)$ is $32\:dB$ and $-8\:dB$ at $1\:rad/s$ and $10\:rad/s$ respecti...
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GATE ECE 2018 | Question: 5
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the following statements is FALSE: Both the criteria provide information relative to the ... criterion. The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the foll...
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39
GATE ECE 2017 Set 2 | Question: 47
A second-order LTI system is described by the following state equations, $ \begin{array}{ll} \frac{d}{dt}x_1(t)-x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{array}$ where $x_1(t)$ and $x_2(t)$ are the two state variables and $r(t)$ denotes the input. The output $c(t)=x_1(t)$. The system is undamped (oscillatory) underdamped critically damped overdamped
A second-order LTI system is described by the following state equations, $$ \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{...
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GATE ECE 2017 Set 2 | Question: 48
A unity feedback control system is characterized by the open-loop 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 closed-loop transfer function that lie in the right-half of the $s$-plane is $0$ $1$ $2$ $3$
A unity feedback control system is characterized by the open-loop transfer function $$G(s)=\frac{10K(s+2)}{s^3+3s^2+10}$$ The Nyquist path and the corresponding Nyquist p...
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