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Recent questions and answers in Control Systems
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GATE2017 EC2: 47
A secondorder LTI system is described by the following state equations, $\frac{d}{dt}x_1(t)x_2(t)=0$ $\frac{d}{dt}x_2(t)+2x_1(t)+3x_2(t)=r(t)$ 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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ltisystems
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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 splane is 0 1 2 3
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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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GATE2017 EC2: 33
Consider an LTI system with magnitude response $\left  H(f) \right =\left\{\begin{matrix} 1\frac{\left  f \right }{20} &, \left  f \right \leq 20 \\ 0&, \left  f \right > 20 \end{matrix}\right.$ ... $y(t)$ is ____________
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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→∞ is ____________
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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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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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GATE2017 EC1: 53
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+j)) for K=100. Then the closed loop system (having unity gain feedback) is stable for $K=10$ ... 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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GATE2017 EC1: 47
A linear time invariant (LTI) system with the transfer function $G(s)=K(s^{2}+2s+2)/(s_{2}3s+2)$ is connected in unity feedback configuration as shown in the figure. For the closed loop system shown, the root locus for 0<K< infinity intersects the imaginary axis ... $K>1.5$ $1<K<1.5$ $0<K<1$ no positive value of $K$
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GATE2017 EC1: 16
Which of the following can be the polezero configuration of a phaselag controller(lag compensator)?
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Control Systems
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GATE2017 EC1: 22
Consider a stable system with transfer function,$G(s)=\frac{s^{p}+b_{1}s^{p1}+....b_{p}}{s^{q}+a_{1}s^{q1}+....a_{q}}$, where $b1,….,bq$ and $a1,….,aq$ are real valued constants.The slope of the Bode log magnitude curve of $G(s)$ converges to $60 dB/decade$ as $ω→∞$.A possible 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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bodeplot
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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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