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Hot questions in Control Systems
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GATE Electrical 2014 Set 3 | Question: 18
A single-input single-output 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 ... are in left half of the s-plane It is not possible to say whether or not the system is stable from the information given
A single-input single-output 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 f...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Feb 11, 2017
Control Systems
gate2014-ee-3
transfer-function
feed-back-system
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0
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0
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2
GATE Electrical 2015 Set 1 | Question: 55
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 ... a frequency less than $K$ It corresponds to a frequency $K$ Root locus of modified system never transits to unstable region
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 transit...
makhdoom ghaya
9.4k
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makhdoom ghaya
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Feb 11, 2017
Control Systems
gate2015-ee-1
root-locus
unity-feedback-system
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–
0
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0
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3
GATE Electrical 2014 Set 3 | Question: 46
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 $1.73$ $dB$
The magnitude Bode plot of a network is shown in the figureThe maximum phase angle $\phi _m$ and the corresponding gain $G_m$ respectively, are$-30^{\circ}$ and $1.73$ $d...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Feb 11, 2017
Control Systems
gate2014-ee-3
bode-plot
stability
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–
0
votes
0
answers
4
GATE Electrical 2014 Set 1 | Question: 18
The root locus of a unity feedback system is shown in the figure The closed loop transfer function of the system is $\dfrac{C(s)}{R(s)}=\dfrac{K}{(s+1)(s+2)} \\$ $\dfrac{C(s)}{R(s)}=\dfrac{-K}{(s+1)(s+2)+K} \\$ $\dfrac{C(s)}{R(s)}=\dfrac{K}{(s+1)(s+2)-K} \\$ $\dfrac{C(s)}{R(s)}=\dfrac{K}{(s+1)(s+2)+K}$
The root locus of a unity feedback system is shown in the figureThe closed loop transfer function of the system is$\dfrac{C(s)}{R(s)}=\dfrac{K}{(s+1)(s+2)} \\$$\dfrac{C(s...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2014-ee-1
stability
bode-plot
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–
0
votes
0
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5
GATE Electrical 2014 Set 2 | Question: 44
A system with the open loop transfer function $G(s)=\dfrac{K}{s(s+2)(s^2+2s+2)}$ 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 ______
A system with the open loop transfer function $$G(s)=\dfrac{K}{s(s+2)(s^2+2s+2)}$$ is connected in a negative feedback configuration with a feedback gain of unity. For th...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Feb 11, 2017
Control Systems
gate2014-ee-2
negative-feedback
marginally-stable
numerical-answers
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0
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6
GATE Electrical 2015 Set 1 | Question: 25
For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function $\dfrac{Y(s)}{X_{2}(s)}\bigg \vert _{X_{1}(s)=0}$ ? $\dfrac{G_{1}}{1+G_{2}(1+G_{1})} \\$ $\dfrac{G_{2}}{1+G_{1}(1+G_{2})} \\$ $\dfrac{G_{1}}{1+G_{1}G_{2}} \\$ $\dfrac{G_{2}}{1+G_{1}G_{2}}$
For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function $\dfrac{Y(s)}{X_{2}(s)}\bigg \vert _{X_{1}(s)=0}$ ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
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Feb 11, 2017
Control Systems
gate2015-ee-1
signal-flow-graph
transfer-function
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0
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0
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7
GATE Electrical 2015 Set 1 | Question: 53
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 $(−2 \pm j3)$.
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 $...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2015-ee-1
second-order-real-system
poles
zeroes
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–
0
votes
0
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8
GATE Electrical 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 $\dfrac{s+1}{5s^2+6s+2} \\$ $\dfrac{s+1}{s^2+6s+2} \\$ $\dfrac{s+1}{s^2+4s+2} \\$ $\dfrac{1}{5s^2+6s+2}$
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} \\$$\d...
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
controllers
stability
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–
0
votes
0
answers
9
GATE Electrical 2015 Set 1 | Question: 39
The op-amp shown in the figure has a finite gain $A = 1000$ and an infinite input resistance. A step-voltage $V_{i} = 1 \: mV$ 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 $V_{o}$ is $1001$ $101$ $11$ $1$
The op-amp shown in the figure has a finite gain $A = 1000$ and an infinite input resistance. A step-voltage $V_{i} = 1 \: mV$ is applied at the input at time $t = 0$ as ...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2015-ee-1
time-constant
operational-amplifier
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–
0
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0
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10
GATE Electrical 2013 | Question: 15
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 $\dfrac{39.8}{s} \\$ $\dfrac{39.8}{s^2} \\$ $\dfrac{32}{s} \\$ $\dfrac{32}{s^2}$
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 r...
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
gain
stability
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–
0
votes
0
answers
11
GATE Electrical 2013 | Question: 3
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t) \\$ $t\:u(t) \\$ $\dfrac{t^2}{2}u(t) \\$ $e^{-t}u(t)$
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)$
piyag476
1.5k
points
piyag476
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Feb 11, 2017
Control Systems
gate2013-ee
impulse-response
step-function
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–
0
votes
0
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12
GATE Electrical 2015 Set 1 | Question: 24
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? $\dfrac{1000(s+10)}{s+1000} \\$ $\dfrac{10(s+10)}{s(s+1000)} \\$ $\dfrac{s+1000}{10s(s+10)} \\$ $\dfrac{s+1000}{10(s+10)}$
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?$\dfrac{1...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2015-ee-1
bode-plot
stability
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–
0
votes
0
answers
13
GATE Electrical 2014 Set 2 | Question: 17
The closed loop transfer function of a system is $T(s)=\dfrac{4}{s^2+0.4S+4}$ The steady state error due to unit step input is __________.
The closed loop transfer function of a system is $T(s)=\dfrac{4}{s^2+0.4S+4}$ The steady state error due to unit step input is __________.
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2014-ee-2
unit-step-function
closed-loop-system
numerical-answers
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–
0
votes
0
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14
GATE Electrical 2014 Set 1 | Question: 44
For the given system, it is desired that the system be stable. The minimum value of $\alpha$ for this condition is ____________. .
For the given system, it is desired that the system be stable. The minimum value of $\alpha$ for this condition is ____________..
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2014-ee-1
feed-back-system
stability
numerical-answers
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–
0
votes
0
answers
15
GATE Electrical 2015 Set 1 | Question: 13
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 ... to the phase angle of the input voltage? $0 \\$ $\pi \\$ $\dfrac{\pi}{2} \\$ $-\dfrac{\pi}{2}$
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 ph...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2015-ee-1
operational-amplifier
feedback-system
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–
0
votes
0
answers
16
GATE Electrical 2013 | Question: 13
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.
In the feedback network shown below,if the feedback factor $k$ is increased, then theinput impedance increases and output impedance decreases.input impedance increases an...
piyag476
1.5k
points
piyag476
asked
Feb 11, 2017
Control Systems
gate2013-ee
network-analysis
branches
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–
0
votes
0
answers
17
GATE Electrical 2014 Set 2 | Question: 45
For the transfer function $G(s)=\dfrac{5(s+2)}{s(s+0.25)(s^2+4s+25)}$ The values of the constant gain term and the highest corner frequency of the Bode plot respectively are $3.2$ , $5.0$ $16.0$ , $4.0$ $3.2$ , $4.0$ $16.0$ , $5.0$
For the transfer function $$G(s)=\dfrac{5(s+2)}{s(s+0.25)(s^2+4s+25)}$$ The values of the constant gain term and the highest corner frequency of the Bode plot respectivel...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2014-ee-2
transfer-function
gain
bode-plot
+
–
0
votes
0
answers
18
GATE Electrical 2014 Set 2 | Question: 33
A discrete system is represented by the difference equation $\begin{bmatrix} X_1(k+1)\\ X_2(k+2) \end{bmatrix}=\begin{bmatrix} a & a-1\\ a+1 & a \end{bmatrix}\begin{bmatrix} X_1(k)\\X_2(k) \end{bmatrix}$ It has initial conditions $X_1(0)$ = $1$ ... $a$ = $1$, are $1\pm j0$ $-1\pm j0$ $\pm 1+j0$ $0\pm j1$
A discrete system is represented by the difference equation$\begin{bmatrix} X_1(k+1)\\ X_2(k+2) \end{bmatrix}=\begin{bmatrix} a & a-1\\ a+1 & a \end{bmatrix}\begin{bmatri...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2014-ee-2
bode-plot
stability-study
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–
0
votes
0
answers
19
GATE Electrical 2014 Set 3 | Question: 17
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 $h_0=b_0-b_1a_1$ , the input-output transfer function, $G(s)=\dfrac{C(s)}{U(s)}$ ... $G(s)=\dfrac{b_1s+b_0}{s^2+a_1s+a_0} \\$ $G(s)=\dfrac{a_0s+a1}{s^2+b_0s+b_1}$
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 $h_0=b_0-b_1a_1$ , the input-output transfer functi...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2014-ee-3
stability
bode-plot
+
–
0
votes
0
answers
20
GATE Electrical 2014 Set 1 | Question: 51
In the figure shown, assume the op-amp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function $\dfrac{V_o(\omega )}{V_i(\omega )}?$
In the figure shown, assume the op-amp to be ideal. Which of the alternatives gives the correct Bode plots for the transfer function $\dfrac{V_o(\omega )}{V_i(\omega )}?$...
makhdoom ghaya
9.4k
points
makhdoom ghaya
asked
Feb 11, 2017
Control Systems
gate2014-ee-1
transfer
function
operational-amplifier
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