GATE EC 2021: Control Systems Quiz 1

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Question 1

In the system shown below, x(t) = (sint) u (t). In steady-state, the response y(t) will be

• A
• B
• C
• D

Question 2

A system with transfer function has an output the input signal . Then, the system parameter ‘p’ is

• A
• B
• C1
• D

Question 3

Consider two transfer functions and
The 3-dB bandwidths of their frequency responses are respectively,

• A
• B
• C
• D

Question 4

The unit impulse response of a system is:

For this system, the steady-state value of the output for unit step input is equal to

• A–1
• B0
• C1
• D∞

Question 5

Which one of the following options correctly describes the locations of the roots of the equation s ⁴+s ²+1 =0 on the complex plane?

• AFour left half plane (LHP) roots
• BOne right half plane (RHP) root, one LHP root and two roots on the imaginary axis
• CTwo RHP roots and two LHP roots
• DAll four roots are on the imaginary axis

Question 6

Consider the signal x(t) shown in Figure. Let h(t) denote the impulse response of the filter matched to x(t), with h(t) being non-zero only in the interval 0 to 4 sec. The slop of h(t) in the interval 3 < t <4sec is

• A
• B
• C
• D

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