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Recent questions and answers in Control Systems
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GATE2017 EC2: 48
A unity feedback control system is characterized by the openloop 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 closedloop transfer function that lie in the righthalf of the $s$plane is $0$ $1$ $2$ $3$
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Nov 25, 2017
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Control Systems
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gate2017ec2
networksolutionmethods
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2
GATE2017 EC2: 47
A secondorder 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
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Nov 25, 2017
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Control Systems
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gate2017ec2
ltisystems
continuoustimesignals
signalsandsystems
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3
GATE2017 EC2: 46
A unity feedback control system is characterized by the openloop 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 ___________
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Nov 25, 2017
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Control Systems
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gate2017ec2
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controlsystems
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4
GATE2017 EC2: 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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Control Systems
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gate2017ec2
transferfunction
ltisystems
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5
GATE2017 EC2: 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 $\arg \{ H(f) \}=  2f.$ ... $y(t)$ is ____________
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Nov 25, 2017
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Control Systems
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gate2017ec2
ltisystems
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6
GATE2017 EC2: 20
Which of the following statements is incorrect? Lead compensator is used to reduce the settling time. Lag compensator is used to reduce the steady state error. Lead compensator may increase the order of a system. Lag compensator always stabilizes an unstable system.
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Nov 23, 2017
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Control Systems
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gate2017ec2
lagleadcompensation
controlsystems
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7
GATE2017 EC2: 18
For the system shown in the figure, $Y(s)/X(s)$ = ___________
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Nov 23, 2017
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gate2017ec2
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8
GATE2017 EC1: 49
The Nyquist plot of the transfer function $G(s)=\frac{K}{(s^{2}+2s+2)(s+2)}$ does not encircle the point $(1+j0)$ for $K=10$ but does encircle the point $(1+j0)$ for $K=100$ ... for $K=10$ and unstable for $K=100$ unstable for $K=10$ and stable for $K=100$ stable for $K=10$ and unstable for $K=100$
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Nov 17, 2017
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Control Systems
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gate2017ec1
nyquistplot
controlsystems
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9
GATE2017 EC1: 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 $0< K < \infty$ intersects the ... $K=1.5$. The closed loop system is stable for $K>1.5$ $1<K<1.5$ $0<K<1$ no positive value of $K$
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Nov 17, 2017
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Control Systems
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gate2017ec1
continuoustimesignals
signalsandsystems
ltisystems
transferfunction
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10
GATE2017 EC1: 15
A good transconductance amplifier should have high input resistance and low output resistance low input resistance and high output resistance high input and output resistances low input and output resistances
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Nov 17, 2017
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Control Systems
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gate2017ec1
controlsystems
transconductance
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11
GATE2017 EC1: 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__________.
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Nov 17, 2017
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Control Systems
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gate2017ec1
numericalanswers
controlsystems
openlooptransferfunction
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12
GATE2017 EC1: 19
Consider a stable system with transfer function,$G(s)=\frac{s^{p}+b_{1}s^{p1}+\dots +b_{p}}{s^{q}+a_{1}s^{q1}+\dots +a_{q}}$, where $b_1, \dots ,b_p$ and $a_1, \dots ,a_q$ are real valued constants.The slope of the Bode log magnitude curve of $G(s)$ ... pair of values for $p$ and $q$ is $p=0$ and $q=3$ $p=1$ and $q=7$ $p=2$ and $q=3$ $p=3$ and $q=5$
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Nov 17, 2017
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Control Systems
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gate2017ec1
bodeplot
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