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Recent questions tagged transferfunction
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GATE ECE 2020  Question: 23
The loop transfer function of a negative feedback system is $G\left ( s \right )H\left ( s \right )=\frac{K(s+11)}{s(s+2)(s+8)}.$ The value of $K$, for which the system is marginally stable, is ___________.
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Feb 13, 2020
in
Network Solution Methods
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jothee
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1.8k
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45
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gate2020ec
numericalanswers
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2
GATE ECE 2020  Question: 49
A system with transfer function $G\left ( s \right )=\dfrac{1}{\left ( s+1 \right )\left ( s+a \right )},\:\:a> 0$ is subjected to an input $5 \cos3t$. The steady state output of the system is $\dfrac{1}{\sqrt{10}}\cos\left ( 3t1.892 \right )$. The value of $a$ is _______.
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Feb 13, 2020
in
Network Solution Methods
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jothee
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17
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gate2020ec
numericalanswers
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0
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3
GATE ECE 2020  Question: 53
The transfer function of a stable discretetime $\text{LTI}$ system is $H\left ( z \right )=\dfrac{K\left ( z\alpha \right )}{z+0.5}$, where $K$ and $\alpha$ are real numbers. The value of $\alpha$ (rounded off to one decimal place) with $\mid \alpha \mid > 1$, for which the magnitude response of the system is constant over all frequencies, is ___________.
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Feb 13, 2020
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Network Solution Methods
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jothee
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20
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gate2020ec
numericalanswers
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transferfunction
0
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0
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4
GATE ECE 2019  Question: 5
Let $Y(s)$ be the unitstep response of a causal system having a transfer function $G(s)= \dfrac{3s}{(s+1)(s+3)}$ that is ,$Y(s)=\dfrac{G(s)}{s}.$ The forced response of the system is $u(t)2e^{t}u(t)+e^{3t}u(t)$ $2u(t)2e^{t}u(t)+e^{3t}u(t)$ $2u(t)$ $u(t)$
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Feb 12, 2019
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Network Solution Methods
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Arjun
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4.4k
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178
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gate2019ec
networksolutionmethods
signalsandsystems
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0
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5
GATE ECE 2019  Question: 31
Consider a causal secondorder system with the transfer function $G(s)=\dfrac{1}{1+2s+s^{2}}$ with a unitstep $R(s)=\dfrac{1}{s}$ as an input. Let $C(s)$ be the corresponding output. The time taken by the system output $c(t)$ to reach $94\%$ of its ... value $\underset{t\rightarrow \infty}{\lim}\:c(t),$ rounded off to two decimal places, is $5.25$ $4.50$ $3.89$ $2.81$
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Feb 12, 2019
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Network Solution Methods
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Arjun
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54
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gate2019ec
networksolutionmethods
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6
GATE ECE 2019  Question: 32
The block diagram of a system is illustrated in the figure shown, where $X(s)$ is the input and $Y(s)$ is the output. The transfer function $H(s)=\dfrac{Y(s)}{X(s)}$ is $H(s)=\frac{s^{2}+1}{s^{3}+s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{s^{3}+2s^{2}+s+1}$ $H(s)=\frac{s+1}{s^{2}+s+1}$ $H(s)=\frac{s^{2}+1}{2s^{2}+1}$
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Feb 12, 2019
in
Network Solution Methods
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28
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gate2019ec
networksolutionmethods
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0
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0
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7
GATE ECE 2016 Set 3  Question: 20
For the unity feedback control system shown in the figure, the openloop 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 $0$ $0.5$ $1.0$ $\infty$
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Mar 28, 2018
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Control Systems
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24
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gate2016ec3
controlsystems
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8
GATE ECE 2016 Set 3  Question: 30
A signal $2 \cos(\frac{2\pi}{3}t)\cos(\pi t)$ is the input to an LTI system with the transfer function $H(s)=e^s+e^{s}.$ If $C_k$ denotes the $k^{th}$ coefficient in the exponential Fourier series of the output signal, then $C_3$ is equal to $0$ $1$ $2$ $3$
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Mar 28, 2018
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Continuoustime Signals
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21
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gate2016ec3
continuoustimesignals
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9
GATE ECE 2016 Set 3  Question: 48
The forwardpath transfer function and the feedbackpath transfer function of a single loop negative feedback control system are given as $G(s)=\frac{K(s+2)}{s^2+2s+2}\;\text{and}\hspace{0.3cm}H(s)=1,$ respectively. If the variable parameter $K$ is real positive, then the location of the breakaway point on the root locus diagram of the system is _________
asked
Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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17
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gate2016ec3
numericalanswers
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10
GATE ECE 2016 Set 2  Question: 32
A continuoustime filter with transfer function $H\left ( s \right )= \frac{2s+6}{s^{2}+6s+8}$ ... sampled at $2$ $Hz$, is identical at the sampling instants to the impulse response of the discrete timefilter. The value of $k$ is _________
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Mar 28, 2018
in
Network Solution Methods
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Milicevic3306
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15.8k
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17
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gate2016ec2
numericalanswers
networksolutionmethods
transferfunction
0
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11
GATE ECE 2016 Set 1  Question: 45
The openloop transfer function of a unityfeedback control system is $G(s)= \frac{K}{s^2+5s+5}$. The value of $K$ at the breakaway point of the feedback contol system’s rootlocus plot is _________
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Mar 28, 2018
in
Network Solution Methods
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Milicevic3306
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14
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gate2016ec1
numericalanswers
networksolutionmethods
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0
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0
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12
GATE ECE 2016 Set 1  Question: 46
The openloop transfer function of a unity feedback control system is given by $G(s)= \frac{K}{s(s+2)}$. For the peak overshoot of the closedloop system to a unit step input to be $10 \%$, the value of $K$ is _________
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Mar 28, 2018
in
Network Solution Methods
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Milicevic3306
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13
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gate2016ec1
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
13
GATE ECE 2016 Set 1  Question: 47
The transfer function of a linear time invariant system is given by $H(s) = 2s^4 – 5s^3 + 5s 2$. The number of zeroes in the right half of the $s$plane is _________
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Mar 28, 2018
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Network Solution Methods
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10
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gate2016ec1
numericalanswers
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transferfunction
0
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0
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14
GATE ECE 2015 Set 3  Question: 21
The transfer function of a firstorder controller is given as $G_{C}(s) = \dfrac{K(s+a)}{s+b}$where $K,a$ and ܾ$b$ are positive real numbers. The condition for this controller to act as a phase lead compensator is $a<b$ $a>b$ $K<ab$ $K>ab$
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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16
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gate2015ec3
networksolutionmethods
transferfunction
0
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0
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15
GATE ECE 2015 Set 3  Question: 32
A network is described by the state model as $\dot{x_{1}}=2x_{1}x_{2}+3u \\ \dot{x_{2}}=4x_{2}u \\ y=3x_{1}2x_{2}$ The transfer function $H(s)\left(=\dfrac{Y(s)}{U(s)}\right)$ is $\dfrac{11s+35}{(s2)(s+4)} \\$ $\dfrac{11s35}{(s2)(s+4)} \\$ $\dfrac{11s+38}{(s2)(s+4)} \\$ $\dfrac{11s38}{(s2)(s+4)}$
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Mar 28, 2018
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Network Solution Methods
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10
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gate2015ec3
transferfunction
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0
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16
GATE ECE 2015 Set 2  Question: 19
By performing cascading and/or summing/differencing operations using transfer function blocks $G_{1}(s )$ and $G_{2}(s),$ one CANNOT realize a transfer function of the form $G_{1}(s)G_{2}(s) \\$ $\dfrac{G_{1}(s)}{G_{2}(s)} \\$ $G_{1}(s)\left(\dfrac{1}{G_{1}(s)} + G_{2}(s)\right) \\$ $G_{1}(s)\left(\dfrac{1}{G_{1}(s)}  G_{2}(s)\right)$
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Mar 28, 2018
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gate2015ec2
networksolutionmethods
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17
GATE ECE 2015 Set 2  Question: 21
A unity negative feedback system has an openloop transfer function $G(S) = \dfrac{K}{s(s+10)}$. The gain $K$ for the system to have a damping ratio of $0.25$ is ________.
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Mar 28, 2018
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gate2015ec2
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18
GATE ECE 2015 Set 2  Question: 47
The output of a standard secondorder system for a unit step input is given as $y(t) = 1\dfrac{2}{\sqrt{3}}e^{t}\cos \left(\sqrt{3t}\dfrac{\pi}{6}\right)$. The transfer function of the system is $\dfrac{2}{(s+2)(s+\sqrt{3})}$ $\dfrac{1}{s^{2}+2s+1}$ $\dfrac{3}{s^{2}+2s+3}$ $\dfrac{3}{s^{2}+2s+4}$
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Mar 28, 2018
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gate2015ec2
networksolutionmethods
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0
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19
GATE ECE 2015 Set 2  Question: 48
The transfer function of a massspringdamper system is given by $G(S) = \dfrac{1}{Ms^{2}+Bs+K}$ ... The unit step response of the system approaches a steady state value of ________.
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Mar 28, 2018
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Network Solution Methods
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26
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gate2015ec2
numericalanswers
networksolutionmethods
transferfunction
0
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0
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20
GATE ECE 2015 Set 1  Question: 44
For the discretetime system shown in the figure, the poles of the system transfer function are located at $2,3 \\$ $\frac{1}{2},3 \\$ $\frac{1}{2}, \frac{1}{3} \\$ $2, \frac{1}{3}$
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Mar 28, 2018
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Network Solution Methods
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15.8k
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9
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gate2015ec1
networksolutionmethods
transferfunction
0
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0
answers
21
GATE ECE 2015 Set 1  Question: 46
The openloop transfer function of a plant in a unity feedback configuration is given as $G(s) = \frac{K(s+4)}{(s+8)(s^29)}$. The value of the gain $K(>0)$ for which $1+j2$ lies on the root locus is _________.
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Mar 28, 2018
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Network Solution Methods
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Milicevic3306
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15.8k
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11
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gate2015ec1
numericalanswers
networksolutionmethods
diodes
transferfunction
0
votes
0
answers
22
GATE ECE 2015 Set 1  Question: 47
A lead compensator network includes a parallel combination of $R$ and $C$ in the feedforward path. If the transfer function of the compensator is $G_c(s)=\frac{s+2}{s+4}$, the value of $RC$ is ___________.
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Mar 28, 2018
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Milicevic3306
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21
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gate2015ec1
numericalanswers
networksolutionmethods
transferfunction
0
votes
0
answers
23
GATE ECE 2015 Set 1  Question: 48
A plant transfer function is given as $G(s)= \bigg( K_p+ \frac{K_1}{s} \bigg) \frac{1}{s(s+2)}$. When the plant operates in a unity feedback configuration, the condition for the stability of the closed loop system is $K_p>\frac{K_1}{2}>0 \\$ $2K_1>K_p>0 \\$ $2K_1<K_p \\$ $2K_1>K_p$
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Mar 28, 2018
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Milicevic3306
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26
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gate2015ec1
networksolutionmethods
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24
GATE ECE 2014 Set 4  Question: 47
Consider a transfer function $G_p(s) = \frac{ps^2+3ps2}{s^2+(3+p)s+(2p)}$ with $p$ a positive real parameter. The maximum value of $p$ until which $G_p$ remains stable is ___________.
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Mar 26, 2018
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gate2014ec4
numericalanswers
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25
GATE ECE 2014 Set 4  Question: 48
The characteristic equation of a unity negative feedback system is $1+KG(s)=0$. The open loop transfer function $G(s)$ has one pole at $0$ and two poles at $1$. The root locus of the system for varying $K$ is shown in the figure. The constant damping ... point A. The distance from the origin to point A is given as $0.5$. The value of $K$ at point A is ________.
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Mar 26, 2018
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gate2014ec4
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26
GATE ECE 2014 Set 3  Question: 20
Consider the following block diagram in the figure. The transfer function $\frac{C(s)}{R(s)}$ is $\frac{G_{1}G_{2}}{1+G_{1}G_{2}}$ $G_{1}G_{2}+G_{1}+1$ $G_{1}G_{2}+G_{2}+1$ $\frac{G_{1}}{1+G_{1}G_{2}}$
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Mar 26, 2018
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gate2014ec3
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27
GATE ECE 2014 Set 3  Question: 21
The input $3e^{2t}u(t),$ where $u(t)$ is the unit step function, is applied to a system with transfer function $\frac{s2}{s+3}.$ If the initial value of the output is $2$, then the value of the output at steady state is _______.
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Mar 26, 2018
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28
GATE ECE 2014 Set 3  Question: 30
Consider the building block called ‘Network N’ shown in the figure. Let $C= 100\mu F$ and $R= 10 k \Omega.$ Two such blocks are connected in cascade, as shown in the figure. The transfer function $\frac{V_{3}(s)}{V_{1}(s)}$ of the cascaded network is $\frac{s}{1+s} \\$ $\frac{s^{2}}{1+3s+s^{2}} \\$ $\left ( \frac{s}{1+s} \right )^{2} \\$ $\frac{s}{2+s}$
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29
GATE ECE 2014 Set 3  Question: 44
Let $h(t)$ denote the impulse response of a causal system with transfer function $\frac{1}{s+1}.$ Consider the following three statements. $S1$: The system is stable. $S2$: $\frac{h(t+1)}{h(t)}$ is independent of $t$ for $t > 0$. $S3$: A noncausal ... $S1$ and $S2$ are true only $S2$ and $S3$ are true only $S1$ and $S3$ are true $S1$, $S2$ and $S3$ are true
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30
GATE ECE 2014 Set 2  Question: 21
For the following system, when $X_{1} (s) = 0$, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is $\frac{s+1}{s^{2}}\\ $ $\frac{1}{s+1} \\$ $\frac{s+2}{s(s+1)} \\$ $\frac{s+1}{s(s+2)}$
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gate2014ec2
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31
GATE ECE 2014 Set 1  Question: 20
The forward path transfer function of a unity negative feedback system is given by $G(s) = \frac{K}{(s+2)(s1)}$. The value of $K$ which will place both the poles of the closedloop system at the same location, is _______.
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32
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 $\frac{s+1}{5s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+6s+2} \\$ $\frac{s+1}{s^{2}+4s+2} \\$ $\frac{1}{5s^{2}+6s+2}$
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gate2013ec
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33
GATE ECE 2013  Question: 29
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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gate2013ec
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34
GATE ECE 2012  Question: 54
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ $G_c(s)$ is a lead compensator if $a=1,b=2$ $a=3,b=2$ $a=3,b=1$ $a=3,b=1$
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gate2012ec
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35
GATE ECE 2012  Question: 55
The transfer function of a compensator is given as $G_c(s)=\frac{s+a}{s+b}$ The phase of the above lead compensator is maximum at $\sqrt{2}$ rad/s $\sqrt{3}$ rad/s $\sqrt{6}$ rad/s $\frac{1}{\sqrt{3}}$ rad/s
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36
GATE ECE 2012  Question: 20
A system with transfer function $G(s)=\frac{(s^2+9)(s+2)}{(s+1)(s+3)(s+4)}$ is excited by $\sin(\omega t)$. The steadystate output of the system is zero at $\omega=1\:rad/s$ $\omega=2\:rad/s$ $\omega=3\:rad/s$ $\omega=4\:rad/s$
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37
GATE ECE 2018  Question: 42
The figure below shows the Bode magnitude and phase plots of a stable transfer function $G\left ( s \right )=\dfrac{n_{0}}{s^{3}+d_{2}s^{2}+d_{1}s+d_{0}}.$ Consider the negative unity feedback configuration with gain $k$ in the feedforward path. The closed loop is stable for $k < k_{0}.$ The maximum value of $k_{0}$ is _________.
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38
GATE ECE 2018  Question: 41
For a unity feedback control system with the forward path transfer function $G\left ( s \right )=\dfrac{K}{s\left ( s+2 \right )}$The peak resonant magnitude $M_{r}$ of the closedloop frequency response is $2$. The corresponding value of the gain $\text{K}$ (correct to two decimal places) is _________.
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39
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 ____________
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Nov 25, 2017
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gate2017ec2
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lineartimeinvariantsystems
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40
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 $K$
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Nov 17, 2017
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