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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 Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image112.png 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?

Question 4

A unity negative feedback system has an open-loop transfer function Description: Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-2_files\image012.png. 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:

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

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