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Hot questions in Control Systems
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1
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
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
rootlocus
unityfeedbacksystem
0
votes
0
answers
2
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
3
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
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
transferfunction
feedbacksystem
0
votes
0
answers
4
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
(
9.3k
points)
gate2014ee1
stability
bodeplot
0
votes
0
answers
5
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 $1.73$ $dB$
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee3
bodeplot
stability
0
votes
0
answers
6
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
points)
gate2015ee1
secondorderrealsystem
poles
zeroes
0
votes
0
answers
7
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
8
GATE201340
The signal flow graph for a system is given below. The transfer function $\dfrac{Y(s)}{U(s)}$ for this system is $\dfrac{s+1}{5s^2+6s+2}$ $\dfrac{s+1}{s^2+6s+2}$ $\dfrac{s+1}{s^2+4s+2}$ $\dfrac{1}{5s^2+6s+2}$
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Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
controllers
stability
0
votes
0
answers
9
GATE20133
Assuming zero initial condition, the response $y(t)$ of the system given below to a unit step input $u(t)$ is? $u(t)$ $t\:u(t)$ $\dfrac{t^2}{2}u(t)$ $e^{t}u(t)$
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Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
impulseresponse
stepfunction
0
votes
0
answers
10
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 $1\pm j0$ $1\pm j0$ $\pm 1+j0$ $0\pm j1$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
bodeplot
stabilitystudy
0
votes
0
answers
11
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
12
GATE2015125
For the signalflow graph shown in the figure, which one of the following expressions is equal to the transfer function $\frac{Y(s)}{X_{2}(s)}\mid _{X_{1}(s)=0}$ ? $\frac{G_{1}}{1+G_{2}(1+G_{1})}$ $\frac{G_{2}}{1+G_{1}(1+G_{2})}$ $\frac{G_{1}}{1+G_{1}G_{2}}$ $\frac{G_{2}}{1+G_{1}G_{2}}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
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gate2015ee1
signalflowgraph
transferfunction
0
votes
0
answers
13
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 ... $0$ $\pi$ $\frac{\pi}{2}$ $\frac{\pi}{2}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
operationalamplifier
feedbacksystem
0
votes
0
answers
14
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
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Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
stability
blockdiagram
0
votes
0
answers
15
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 $\frac{39.8}{s} \\$ $\frac{39.8}{s^2} \\$ $\frac{32}{s} \\$ $\frac{32}{s^2}$
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Feb 12, 2017
in
Control Systems
by
piyag476
(
1.5k
points)
gate2013ee
gain
stability
0
votes
0
answers
16
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
17
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? $\frac{1000(s+10)}{s+1000}$ $\frac{10(s+10)}{s(s+1000)}$ $\frac{s+1000}{10s(s+10)}$ $\frac{s+1000}{10(s+10)}$
asked
Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2015ee1
bodeplot
stability
0
votes
0
answers
18
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
points)
gate2014ee2
transferfunction
gain
bodeplot
0
votes
0
answers
19
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
20
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 $1/30$ $1/15$ $3/4$ $4/3$
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Feb 12, 2017
in
Control Systems
by
makhdoom ghaya
(
9.3k
points)
gate2014ee2
lineartimeinvariantsystem
transferfunction
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