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Recent activity in Control Systems
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1
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...
Deepak Poonia
1.3k
points
540
views
Deepak Poonia
answered
Oct 17, 2023
Control Systems
gate2020-ec
control-systems
+
–
0
votes
0
answers
2
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{...
Lakshman Bhaiya
13.2k
points
276
views
Lakshman Bhaiya
recategorized
Apr 11, 2021
Control Systems
gateec-2021
control-systems
+
–
0
votes
0
answers
3
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$$x[n]= c_{1}exp\left(-\dfrac{j\pi n}{2}\right)+c_{2}\left(\df...
Lakshman Bhaiya
13.2k
points
221
views
Lakshman Bhaiya
recategorized
Mar 3, 2021
Control Systems
gate2019-ec
control-systems
+
–
0
votes
0
answers
4
GATE ECE 2016 Set 2 | Question: 9
The $z$-parameter matrix for the two-port network shown is $\begin{bmatrix} 2j\omega &j\omega \\ j\omega & 3+2j\omega \end{bmatrix},$ where the entries are in $\Omega$. Suppose $Z_{b}\left ( j\omega \right )=R_{b}+j\omega .$ Then the value of $R_{b}$ (in $\Omega$) equals ________
The $z$-parameter matrix for the two-port network shown is $$\begin{bmatrix} 2j\omega &j\omega \\ j\omega & 3+2j\omega \end{bmatrix},$$ where the entries are in $\Omega$...
Lakshman Bhaiya
13.2k
points
120
views
Lakshman Bhaiya
recategorized
Mar 1, 2021
Control Systems
gate2016-ec-2
numerical-answers
control-systems
+
–
0
votes
0
answers
5
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}...
soujanyareddy13
100
points
140
views
soujanyareddy13
recategorized
Nov 18, 2020
Control Systems
gate2015-ec-2
control-systems
signal-flow-graph
+
–
0
votes
0
answers
6
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...
soujanyareddy13
100
points
145
views
soujanyareddy13
retagged
Nov 17, 2020
Control Systems
gate2015-ec-3
numerical-answers
control-systems
transient-response
+
–
0
votes
0
answers
7
GATE ECE 2017 Set 1 | Question: 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__________.
The open loop transfer function $$G(s)=\frac{(s+1)}{s^{p}(s+2)(s+3)}$$ where $p$ is an integer, is connected in unity feedback configuration as shown in figure.Given that...
soujanyareddy13
100
points
211
views
soujanyareddy13
recategorized
Nov 17, 2020
Control Systems
gate2017-ec-1
numerical-answers
control-systems
transfer-function
+
–
0
votes
0
answers
8
GATE ECE 2017 Set 2 | Question: 33
Consider an LTI system with magnitude response $\mid H(f) \mid=\begin{cases} 1-\frac{\mid f \mid}{20}, & \mid f \mid \leq 20 \\ 0,& \mid f \mid > 20 \end{cases}$ and phase response $\arg \{ H(f) \}= - 2f.$ If the input to the ... $y(t)$ is ____________
Consider an LTI system with magnitude response $$\mid H(f) \mid=\begin{cases} 1-\frac{\mid f \mid}{20}, & \mid f \mid \leq 20 \\ 0,& \mid f \mid 20 \end{cases}$$ and pha...
soujanyareddy13
100
points
220
views
soujanyareddy13
retagged
Nov 17, 2020
Control Systems
gate2017-ec-2
linear-time-invariant-systems
numerical-answers
control-systems
+
–
0
votes
0
answers
9
GATE ECE 2017 Set 2 | Question: 34
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system output $y(t)$ as $t\to \infty$ is ____________
The transfer function of a causal LTI system is $H(s)=1/s$. If the input to the system is $x(t)=[\sin(t)/\pi t] u(t)$, where $u(t)$ is a unit step function, the system ou...
soujanyareddy13
100
points
178
views
soujanyareddy13
retagged
Nov 17, 2020
Control Systems
gate2017-ec-2
transfer-function
linear-time-invariant-systems
numerical-answers
control-systems
+
–
0
votes
0
answers
10
GATE ECE 2017 Set 2 | Question: 47
A second-order LTI system is described by the following state equations, $ \begin{array}{ll} \frac{d}{dt}x_1(t)-x_2(t)=0 \\ \frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t) \end{array}$ where $x_1(t)$ and $x_2(t)$ are the two state variables and $r(t)$ denotes the input. The output $c(t)=x_1(t)$. The system is undamped (oscillatory) underdamped critically damped overdamped
A second-order LTI system is described by the following state equations, $$ \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{...
soujanyareddy13
100
points
284
views
soujanyareddy13
recategorized
Nov 17, 2020
Control Systems
gate2017-ec-2
linear-time-invariant-systems
control-systems
+
–
0
votes
0
answers
11
GATE ECE 2017 Set 1 | Question: 47
A linear time invariant (LTI) system with the transfer function $G(s)=\frac{K(s^{2}+2s+2)}{(s_{2}-3s+2)}$ is connected in unity feedback configuration as shown in the figure. For the closed loop system shown, the root locus for $0< K < \infty$ ... $K>1.5$ $1<K<1.5$ $0<K<1$ no positive value of $K$
A linear time invariant (LTI) system with the transfer function $$G(s)=\frac{K(s^{2}+2s+2)}{(s_{2}-3s+2)}$$is connected in unity feedback configuration as shown in the fi...
soujanyareddy13
100
points
223
views
soujanyareddy13
recategorized
Nov 17, 2020
Control Systems
gate2017-ec-1
linear-time-invariant-systems
transfer-function
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
12
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} \\$$\...
soujanyareddy13
100
points
264
views
soujanyareddy13
recategorized
Nov 17, 2020
Control Systems
gate2013-ec
transfer-function
control-systems
signal-flow-graph
+
–
0
votes
0
answers
13
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...
soujanyareddy13
100
points
272
views
soujanyareddy13
retagged
Nov 17, 2020
Control Systems
gate2017-ec-2
control-systems
nyquist
+
–
0
votes
0
answers
14
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...
soujanyareddy13
100
points
155
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2016-ec-3
control-systems
transfer-function
+
–
0
votes
0
answers
15
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...
soujanyareddy13
100
points
128
views
soujanyareddy13
retagged
Nov 17, 2020
Control Systems
gate2020-ec
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
16
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)$$e^{-t}u(t)$
soujanyareddy13
100
points
119
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2013-ec
control-systems
+
–
0
votes
0
answers
17
GATE ECE 2014 Set 2 | Question: 20
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___________.
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___...
soujanyareddy13
100
points
123
views
soujanyareddy13
retagged
Nov 17, 2020
Control Systems
gate2014-ec-2
numerical-answers
control-systems
damped-natural-frequency
+
–
0
votes
0
answers
18
GATE ECE 2017 Set 2 | Question: 46
A unity feedback control system is characterized by the open-loop transfer function $G(s)=\frac{2(s+1)}{s^3+ks^2+2s+1}$ The value of $k$ for which the system oscillates at $2$ rad/s is ___________
A unity feedback control system is characterized by the open-loop transfer function $$G(s)=\frac{2(s+1)}{s^3+ks^2+2s+1}$$ The value of $k$ for which the system oscillates...
soujanyareddy13
100
points
291
views
soujanyareddy13
retagged
Nov 17, 2020
Control Systems
gate2017-ec-2
numerical-answers
control-systems
feedback-principle
+
–
0
votes
0
answers
19
GATE ECE 2016 Set 3 | Question: 46
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as $\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\ s^2 & 2K & 4 \end{array}$ The range of $K$ for which the system is stable is $-2.0<K<0.5$ $0<K<0.5$ $0<K<\infty$ $0.5<K<\infty$
The first two rows in the Routh table for the characteristic equation of a certain closed-loop control system are given as$$\begin{array}{|c|cc} \hline s^3 & 1 &(2K+3) \\...
soujanyareddy13
100
points
130
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2016-ec-3
control-systems
routh-hurwitz
+
–
0
votes
0
answers
20
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...
soujanyareddy13
100
points
150
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2016-ec-1
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
21
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...
soujanyareddy13
100
points
138
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2016-ec-1
control-systems
nyquist
+
–
0
votes
0
answers
22
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...
soujanyareddy13
100
points
145
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2016-ec-1
control-systems
routh-hurwitz
+
–
0
votes
0
answers
23
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 ...
soujanyareddy13
100
points
129
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2015-ec-1
control-systems
feedback-principle
+
–
0
votes
0
answers
24
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...
soujanyareddy13
100
points
133
views
soujanyareddy13
retagged
Nov 17, 2020
Control Systems
gate2014-ec-2
numerical-answers
control-systems
frequency-response
+
–
0
votes
0
answers
25
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...
soujanyareddy13
100
points
190
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2013-ec
control-systems
bode-and-root-locus-plots
+
–
0
votes
0
answers
26
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...
soujanyareddy13
100
points
174
views
soujanyareddy13
edited
Nov 17, 2020
Control Systems
gate2016-ec-3
control-systems
block-diagram-representation
+
–
0
votes
0
answers
27
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 _______.
soujanyareddy13
100
points
115
views
soujanyareddy13
recategorized
Nov 15, 2020
Control Systems
gate2015-ec-3
numerical-answers
bode-and-root-locus-plots
control-systems
+
–
0
votes
0
answers
28
GATE ECE 2019 | Question: 39
The state transition diagram for the circuit shown is
The state transition diagram for the circuit shown is
soujanyareddy13
100
points
201
views
soujanyareddy13
recategorized
Nov 15, 2020
Control Systems
gate2019-ec
state-transition-diagram
control-systems
+
–
0
votes
0
answers
29
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...
soujanyareddy13
100
points
348
views
soujanyareddy13
recategorized
Nov 15, 2020
Control Systems
gate2020-ec
state-diagram
sequence-detector
control-systems
+
–
0
votes
0
answers
30
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$$79.5...
soujanyareddy13
100
points
104
views
soujanyareddy13
recategorized
Nov 15, 2020
Control Systems
gate2020-ec
control-systems
+
–
0
votes
1
answer
31
GATE ECE 2018 | Question: 5
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the following statements is FALSE: Both the criteria provide information relative to the ... criterion. The closed-loop frequency response for a unity feedback system cannot be obtained from the Nyquist plot.
The Nyquist stability criterion and the Routh criterion both are powerful analysis tools for determining the stability od feedback controllers. Identify which of the foll...
soujanyareddy13
100
points
339
views
soujanyareddy13
recategorized
Nov 15, 2020
Control Systems
gate2018-ec
control-systems
nyquist
+
–
0
votes
0
answers
32
GATE ECE 2016 Set 3 | Question: 6
Consider the signal $x(t) = \cos(6\pi t) + \sin (8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is $8$ $12$ $16$ $32$
Consider the signal $x(t) = \cos(6\pi t) + \sin (8\pi t)$, where $t$ is in seconds. The Nyquist sampling rate (in samples/second) for the signal $y(t) = x(2t + 5)$ is$8$$...
soujanyareddy13
100
points
100
views
soujanyareddy13
recategorized
Nov 15, 2020
Control Systems
gate2016-ec-3
control-systems
nyquist
+
–
0
votes
0
answers
33
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...
soujanyareddy13
100
points
107
views
soujanyareddy13
recategorized
Nov 15, 2020
Control Systems
gate2016-ec-3
numerical-answers
control-systems
nyquist
probability
+
–
0
votes
0
answers
34
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...
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35
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,...
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36
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 ___________.
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gate2015-ec-3
numerical-answers
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37
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...
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38
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...
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39
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...
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40
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...
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