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National Champion Test -GATE 2018 EE: Control System

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Question 1

Match List-I (Compensation) with List-II (Characteristic) and select the correct answer using the code given below the Lists:
List-I
A) Lag
B) Lead
C) Lag- Lead
D) Rate
List-II
1) Increases bandwidth
2) Attenuation
3) Increases damping factor
4) Second order

Question 2

Assertion (A) : The system having characteristic equation 4s² + 6s + 1 = 0 gives rise to under-damped oscillations for a step input.
Reason (R) : The un-damped natural frequency of oscillation of the system is

rad/s.

Question 3

For a unity feedback control system the damping ratio is 0.421. What is the resonance magnitude?

Question 4

A unity negative feedback system has the open-loop transfer function . The value of the gain K (>0) at which the root locus crosses the imaginary axis is ____________.

Question 5

The characteristic equation of a control system

. What is the range of values of K for this system to be stable?

Question 6

The transfer from d(s) to y (s) is

Question 7

An electrical system transfer function has a pole at s=-2 and a zero at s=-1 with system gain 10. For sinusoidal current excitation voltage response of the system.

Question 8

The open-loop transfer function of a unity feedback control system is

The closed-loop transfer function will have poles at.

Question 9

Consider a second order all-pole transfer function model, if the desired setting time (5%) is 0.60 sec and the desired damping ratio 0.707, where should the poles be located in s-plane?

Question 10

Find y(t), if x(t) is as shown in figure and the initial conditions are zero.

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ESE & GATE EE Control Systems

Nov 18ESE & GATE EE