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GATE : Control Systems Champion Quiz 2
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Question 1
In the following graph, the number of trees (P) and the number of cut sets (Q) are
Question 2
For the signal flow graph shown in figure, the value of is
Question 3
The impulse response of a causal linear time-invariant system is given as h(t). Now consider the following two statements:
Statement (I): Principle of superposition holds
Statement (II): h(t) = 0 for t < 0.
Which one of the following statements is correct?
Statement (I): Principle of superposition holds
Statement (II): h(t) = 0 for t < 0.
Which one of the following statements is correct?
Question 4
A unity negative feedback system has an open-loop transfer function . The gain K for the system to have a damping ratio of 0.25 is ______.
Question 5
In the following figure, C1 and C2 are ideal capacitors. C1 has been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is
Question 6
A linear system is described by the following state equation
The state-transition matrix of the system is:
The state-transition matrix of the system is:
Question 7
The asymptotic Bode plot of a transfer function is as shown in the figure. The transfer function G(s) corresponding to this Bode plot is:
Question 8
In an analog signal, if a variant x(t) = cos (2500πt) is sampled with the frequency fs of 1 kHz, in time T be 1ms. What will be the value of the discrete signal x(n), when the angle frequency is ω ε[0, π].
Question 9
A two-loop position control system is shown below.
The gain k of the Tacho-generator influences mainly the
The gain k of the Tacho-generator influences mainly the
Question 10
The response h(t) of a linear time invariant system to an impulse δ(t), under initially relaxed condition is h(t) = e–t +e–2t. The response of this system for a unit step input u(t) is
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Jun 19ESE & GATE EC