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GATE 2019 National Champion Test: Control Systems

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Question 1

Which of the following second order system characteristics are true
i. wn gets larger, tr gets smaller
ii. wn gets larger BW gets larger
iii. damping ratio gets larger BW gets smaller
iv. damping ratio gets larger , tr gets larger

Question 2

The overall transfer function of a system having individual block’s transfer functions G1(s), G2(s) and G3(s) in cascade is given by:

Question 3

If 3 zeroes and 4 poles of F(S) lie in the right half of s-plane and enclosed by the s-plane closed contour, then what will be the status of the encirclement?

Question 4

The open loop transfer function of a unity feedback system is given as

The phase cross over frequency is _______rad/sec.

Question 5

Given OLTF, G(s)H(s) = . Consider the points : s1 = 1 ± j √3, s2 = -10 with respect to the RLD

Question 6

The forward path transfer function of a unity feedback system is

The system has 10% overshoot and velocity error constant Kv = 100.
The value of K is

Question 7

For the given magnitude plot, calculate the maximum phase angle

Question 8

A forcing function is applied to a linear system. The Laplace transform of the forcing function is

Question 9

The closed loop transfer function of a system is The system is said to be

Question 10

A unity feedback system has an open loop transfer function The phase cross over frequency is ______ rad/sec

Question 11

The state space description of a system is given as


The above system is

Question 12

A system described by the transfer function
is stable. The constraints α and k are.
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Jul 30ESE & GATE EC