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Previous GATE
0
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1
GATE201340
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is $\dfrac{s+1}{5s^2+6s+2}$ $\dfrac{s+1}{s^2+6s+2}$ $\dfrac{s+1}{s^2+4s+2}$ $\dfrac{1}{5s^2+6s+2}$
asked
Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
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gate2013ee
controllers
stability
0
votes
0
answers
2
GATE201328
The openloop transfer function of a dc motor is given as $\dfrac{\omega (s)}{V_a(s)}=\dfrac{10}{1+10s}$.When connected in feedback as shown below, the approximate value of $K_a$ that will reduce the time constant of the closed loop system by one hundred times as compared to that of the openloop system is $1$ $5$ $10$ $100$
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Feb 12, 2017
in
Control Systems
by
piyag476
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1.5k
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gate2013ee
feedbacksystem
closedloopsystem
0
votes
0
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3
GATE201315
The Bode plot of a transfer function $G(s)$ is shown in the figure below. The gain $\big(20 \log\mid G(s) \mid \big)$ 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
Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
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gate2013ee
gain
stability
0
votes
0
answers
4
GATE201313
In the feedback network shown below,if the feedback factor $k$ is increased, then the input impedance increases and output impedance decreases. input impedance increases and output impedance also increases. input impedance decreases and output impedance also decreases. input impedance decreases and output impedance increases.
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Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
networkanalysis
branches
0
votes
0
answers
5
GATE20135
Which of the following statement is NOT TRUE for a continuous time causal and stable $LTI$ system? All the poles of the system must lie on the left side of $j\omega$ axis Zeros of the system can lie anywhere in the $s$ – plane All the poles must lie within $\mid s\mid=1$ All the roots of the characteristic equation must be located on the left side of $j\omega$ axis
asked
Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
stability
blockdiagram
0
votes
0
answers
6
GATE20133
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t)$ $t\:u(t)$ $\dfrac{t^2}{2}u(t)$ $e^{t}u(t)$
asked
Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
impulseresponse
stepfunction
0
votes
0
answers
7
GATE20132
The transfer function $\dfrac{V2(s)}{V1(s)}$ of the circuit shown below is $\dfrac{0.5s+1}{s+1}$ $\dfrac{3s+6}{s+2}$ $\dfrac{s+2}{s+1}$ $\dfrac{s+1}{s+2}$
asked
Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
blockdiagram
voltagesource
0
votes
0
answers
8
GATE2014344
The block diagram of a system is shown in the figure If the desired transfer function of the system is $\frac{C(s)}{R(s)}=\frac{s}{s^2+s+1}$ then $G(s)$ is $1$ $s$ $1/s$ $\frac{s}{s^3+s^2s2}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
feedback
closedloopsystem
0
votes
0
answers
9
GATE2014345
Consider the system described by following state space equations $\begin{vmatrix} \dot{x_1}\\ \dot{x_2} \end{vmatrix}=\begin{vmatrix} 0 &1 \\ 1 & 1 \end{vmatrix}\begin{vmatrix} x_1\\x_2 \end{vmatrix}+\begin{vmatrix} 0\\1 \end{vmatrix}u$ ... $u$ is unit step input, then the steady state error of the system is $0$ $1/2$ $2/3$ $1$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
statespacefunctions
steadystateerror
0
votes
0
answers
10
GATE2014346
The magnitude Bode plot of a network is shown in the figure The maximum phase angle $\phi _m$ and the corresponding gain $G_m$ respectively, are $30^{\circ}$ and $1.73$ $dB$ $30^{\circ}$ and $477$ $dB$ $+30^{\circ}$ and $4.77$ $dB$ $+30^{\circ}$ and $1.73$ $dB$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
bodeplot
stability
0
votes
0
answers
11
GATE2014318
A singleinput singleoutput feedback system has forward transfer function $G(s)$ and feedback transfer function $H(s)$. It is given that $G(s)H(s)< 1$ . Which of the following is true about the stability of the system? The system is always stable The ... are in left half of the splane It is not possible to say whether or not the system is stable from the information given
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
transferfunction
feedbacksystem
0
votes
0
answers
12
GATE2014317
The signal flow graph of a system is shown below. $U(s)$ is the input and $C(s)$ is the output. Assuming, $h_1=b_1$ and $h_0=b_0b_1a_1$ , the inputoutput transfer function, $G(s)=\frac{C(s)}{U(s)}$ of the system is given by $G(s)=\frac{b_0s+b_1}{s^2+a_0s+a_1} \\ $ $G(s)=\frac{a_1s+a_0}{s^2+b_1s+b_0} \\ $ $G(s)=\frac{b_1s+b_0}{s^2+a_1s+a_0} \\$ $G(s)=\frac{a_0s+a1}{s^2+b_0s+b_1}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
stability
bodeplot
0
votes
0
answers
13
GATE2014246
The second order dynamic system $\frac{dX}{dt}=PX+Qu$ $y=RX$ has the matrices $P$, $Q$ and $R$ as follows: $P=\begin{bmatrix} 1 & 1\\ 0& 3 \end{bmatrix}$ ... system has the following controllability and observability properties: Controllable and observable Not controllable but observable Controllable but not observable Not controllable and not observable
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
dynamicsystem
controlability
0
votes
0
answers
14
GATE2014245
For the transfer function $G(s)=\frac{5(s+2)}{s(s+0.25)(s^2+4s+25)}$ The values of the constant gain term and the highest corner frequency of the Bode plot respectively are $3.2$ , $5.0$ $16.0$ , $4.0$ $3.2$ , $4.0$ $16.0$ , $5.0$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
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gate2014ee2
transferfunction
gain
bodeplot
0
votes
0
answers
15
GATE2014244
A system with the open loop transfer function $G(s)=\frac{K}{s(s+2)(s^2+2s+2)}$ is connected in a negative feedback configuration with a feedback gain of unity. For the closed loop system to be marginally stable, the value of $K$ is ______
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
negativefeedback
marginallystable
numericalanswers
0
votes
0
answers
16
GATE2014233
A discrete system is represented by the difference equation $\begin{bmatrix} X_1(k+1)\\ X_2(k+2) \end{bmatrix}=\begin{bmatrix} a & a1\\ a+1 & a \end{bmatrix}\begin{bmatrix} X_1(k)\\X_2(k) \end{bmatrix}$ It has initial conditions $X_1(0)$ = $1$; $X_2(0)$ = $0$. The pole locations of the system for $a$ = $1$, are $1\pm j0$ $1\pm j0$ $\pm 1+j0$ $0\pm j1$
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2014ee2
bodeplot
stabilitystudy
0
votes
0
answers
17
GATE2014217
The closed loop transfer function of a system is $T(s)=\frac{4}{s^2+0.4S+4}$ The steady state error due to unit step input is __________.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
unitstepfunction
closedloopsystem
numericalanswers
0
votes
0
answers
18
GATE201429
Consider an LTI system with transfer function $H(s)=\frac{1}{s(s+4)}$ If the input to the system is $cos(3t)$ and the steady state output is $Asin(3t+\alpha )$ , then the value of $A$ is $1/30$ $1/15$ $3/4$ $4/3$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
lineartimeinvariantsystem
transferfunction
0
votes
0
answers
19
GATE2014144
For the given system, it is desired that the system be stable. The minimum value of $\alpha$ for this condition is ____________. .
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
feedbacksystem
stability
numericalanswers
0
votes
0
answers
20
GATE2014151
In the figure shown, assume the opamp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function $\dfrac{V_o(\omega )}{V_i(\omega )}?$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee1
transfer
function
operationalamplifier
0
votes
0
answers
21
GATE2014118
The root locus of a unity feedback system is shown in the figure The closed loop transfer function of the system is $\frac{C(s)}{R(s)}=\frac{K}{(s+1)(s+2)}$ $\frac{C(s)}{R(s)}=\frac{K}{(s+1)(s+2)+K}$ $\frac{C(s)}{R(s)}=\frac{K}{(s+1)(s+2)K}$ $\frac{C(s)}{R(s)}=\frac{K}{(s+1)(s+2)+K}$
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2014ee1
stability
bodeplot
0
votes
0
answers
22
GATE2015225
Nyquist plots of two functions $G_{1}(s)$ and $G_{2}(s)$ are shown in figure. Nyquist plot of the product of $G_{1}(s)$ and $G_{2}(s)$ is
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
stability
realroots
imaginaryroots
0
votes
0
answers
23
GATE2015224
An open loop control system results in a response of $e^{2t}(\sin 5t+\cos 5t)$ for a unit impulse input. The $DC$ gain of the control system is ________.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
openloopsystem
independantsystem
numericalanswers
0
votes
0
answers
24
GATE2015211
The operational amplifier shown in the figure is ideal. The input voltage (in Volt) is $V_{i} = 2 \sin(2\pi × 2000t)$. The amplitude of the output voltage $V_{0}$ (in Volt) is ________.
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee2
operationalamplifier
pidcontroller
numericalanswers
0
votes
0
answers
25
GATE2015155
The open loop poles of a third order unity feedback system are at $0, −1, −2$. Let the frequency corresponding to the point where the root locus of the system transits to unstable region be $K$. Now suppose we introduce a zero in the open loop ... corresponds to a frequency less than $K$ It corresponds to a frequency $K$ Root locus of modified system never transits to unstable region
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Feb 12, 2017
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Control Systems
by
makhdoom ghaya
(
9.3k
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gate2015ee1
rootlocus
unityfeedbacksystem
0
votes
0
answers
26
GATE2015153
The transfer function of a second order real system with a perfectly flat magnitude response of unity has a pole at $(2 − j3)$. List all the poles and zeroes. Poles at $(2 \pm j3)$, no zeroes. Poles at $(\pm 2 − j3)$, one zero at origin. Poles at $(2 − j3)$, $(−2 + j3)$, zeroes at $(−2 − j3)$, $(2 + j3)$. Poles at $(2 \pm j3)$, zeroes at $(−2 \pm j3)$.
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
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gate2015ee1
secondorderrealsystem
poles
zeroes
0
votes
0
answers
27
GATE2015152
In the signal flow diagram given in the figure, $u_{1}$ and $u_{2}$ are possible inputs whereas $y_{1}$ and $y_{2}$ are possible outputs. When would the SISO system derived from this diagram be controllable and observable? When $u_{1}$ is the only input and $y_{1}$ is ... is the only input and $y_{2}$ is the only output. When $u_{2}$ is the only input and $y_{2}$ is the only output.
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Feb 12, 2017
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Control Systems
by
makhdoom ghaya
(
9.3k
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gate2015ee1
flowdiagram
transferfunction
0
votes
0
answers
28
GATE2015139
The opamp shown in the figure has a finite gain $A = 1000$ and an infinite input resistance. A stepvoltage $V_{i} = 1 mV$ is applied at the input at time $t = 0$ as shown. Assuming that the operational amplifier is not saturated, the time constant (in millisecond) of the output voltage $V_{0}$ is $1001$ $101$ $11$ $1$
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2015ee1
timeconstant
operationalamplifier
0
votes
0
answers
29
GATE2015124
A Bode magnitude plot for the transfer function $G(s)$ of a plant is shown in the figure. Which one of the following transfer functions best describes the plant? $\frac{1000(s+10)}{s+1000}$ $\frac{10(s+10)}{s(s+1000)}$ $\frac{s+1000}{10s(s+10)}$ $\frac{s+1000}{10(s+10)}$
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2015ee1
bodeplot
stability
0
votes
0
answers
30
GATE2015125
For the signalflow graph shown in the figure, which one of the following expressions is equal to the transfer function $\frac{Y(s)}{X_{2}(s)}\mid _{X_{1}(s)=0}$ ? $\frac{G_{1}}{1+G_{2}(1+G_{1})}$ $\frac{G_{2}}{1+G_{1}(1+G_{2})}$ $\frac{G_{1}}{1+G_{1}G_{2}}$ $\frac{G_{2}}{1+G_{1}G_{2}}$
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Feb 12, 2017
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Control Systems
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makhdoom ghaya
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gate2015ee1
signalflowgraph
transferfunction
0
votes
0
answers
31
GATE2015113
Consider the circuit shown in the figure. In this circuit $R=1 k\Omega$, and $C=1 \mu F$. The input voltage is sinusoidal with a frequency of $50$ Hz, represented as a phasor with magnitude $V_{i}$ and phase angle $0$ radian as shown in the figure. The output voltage is ... $0$ $\pi$ $\frac{\pi}{2}$ $\frac{\pi}{2}$
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Feb 12, 2017
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Control Systems
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makhdoom ghaya
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9.3k
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gate2015ee1
operationalamplifier
feedbacksystem
0
votes
0
answers
32
GATE2015110
The impulse response $g(t)$ of a system, $G$, is as shown in Figure $(a)$. What is the maximum value attained by the impulse response of two cascaded blocks of $G$ as shown in Figure $(b)$? $\frac{2}{3}$ $\frac{3}{4}$ $\frac{4}{5}$ $1$
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Feb 12, 2017
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Control Systems
by
makhdoom ghaya
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9.3k
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gate2015ee1
impulseresponse
cascadedblocks
0
votes
0
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33
GATE2016252
The gain at the breakaway point of the root locus of a unity feedback system with open loop transfer function $G(s)=\frac{Ks}{(s1)(s4)}$ is $1$ $2$ $5$ $9$
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Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2016ee2
gain
breakawaypoint
unityfeedbacksystem
0
votes
0
answers
34
GATE2016250
A secondorder real system has the following properties: a) the damping ratio $\zeta=0.5$ and undamped natural frequency $\omega _{n}=10$ rad/s b) the steady state value of the output, to a unit step input, is $1.02$. The transfer function of the system is $\frac{1.02}{s^{2}+5s+100}$ $\frac{102}{s^{2}+10s+100}$ $\frac{100}{s^{2}+10s+100}$ $\frac{102}{s^{2}+5s+100}$
asked
Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee2
dampingratio
naturalfrequency
0
votes
0
answers
35
GATE2016239
The open loop transfer function of a unity feedback control system is given by $G(s)=\frac{k(s+1)}{s(1+Ts)(1+2S)'}, K > 0, T > 0.$ The closed loop system will be stable if $0 < T < \frac{4(K+1)}{K1}$ $0 < K < \frac{4(T+2)}{T2}$ $0 < K < \frac{T+2}{T2}$ $0 < T < \frac{8(k+1)}{K1}$
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Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
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9.3k
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gate2016ee2
transferfunction
unityfeedbackcontrolsystem
0
votes
0
answers
36
GATE2016132
Loop transfer function of a feedback system is $G(s)H(s)=\frac{s+3}{s^{2}(s3)}$. Take the Nyquist contour in the clockwise direction. Then, the Nyquist plot of $G(s) H (s)$ encircles $1 + j0$ Once in clockwise direction Twice in clockwise direction Once in anticlockwise direction Twice in anticlockwise direction
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Jan 30, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2016ee1
closedloopsystem
nyquiststability
mapping
0
votes
0
answers
37
GATE2016131
Consider the following statespace representation of a linear timeinvariant system. $x(t)=\begin{pmatrix} 1&0 \\ 0&2 \end{pmatrix} x(t), y(t)= c^{T} x(t), c =\begin{pmatrix} 1& \\ 1& \end{pmatrix} \text {and} x(0)= \begin{pmatrix} 1& \\ 1& \end{pmatrix}$ The value of y(t) for $t =\log_{e} 2$ is __________.
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Jan 30, 2017
in
Control Systems
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makhdoom ghaya
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9.3k
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gate2016ee1
transformation
statespaceequations
correlation
numericalanswers
0
votes
0
answers
38
GATE2016130
Consider the following asymptotic Bode magnitude plot (ω is in rad/s). Which one of the following transfer functions is best represented by the above Bode magnitude plot? $\frac{2s}{(1+0.5s)(1+0.25s)^{2}}$ $\frac{4(1+0.5s)}{s(1+0.25s)}$ $\frac{2s}{(1+2s)(1+4s)}$ $\frac{4s}{(1+2s)(1+4s)^{2}}$
asked
Jan 30, 2017
in
Control Systems
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makhdoom ghaya
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9.3k
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gate2016ee1
logarithmicplot
gaink
integralandderivativefactor
0
votes
0
answers
39
GATE201616
The transfer function of a system is $\frac{Y(s)}{R(s)}=\frac{s}{s+2}$. The steady state output $y(t)$ is $A \cos (2t + \phi)$ for the input $\cos (2t)$. The values of A and $\phi$ respectively are $\frac{1}{\sqrt{2}}$, 45° $\frac{1}{\sqrt{2}}$, +45° $\sqrt{2}$, 45° $\sqrt{2}$, +45°
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Jan 30, 2017
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Control Systems
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makhdoom ghaya
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9.3k
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gate2016ee1
laplacetransform
convolutionintegral
feedbacktransferfunction
0
votes
0
answers
40
GATE201617
The phase crossover frequency of the transfer function $G(s)=\frac{100}{(s+1)^{3}}$ in rad/s is $\sqrt{3}$ $\frac{1}{\sqrt{3}}$ $3$ $3\sqrt{3}$
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Jan 30, 2017
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Control Systems
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makhdoom ghaya
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9.3k
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gate2016ee1
mathematicalrepresentation
crossoverfrequency
180phaseshift
bodestabilitycriteria
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