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GATE : Control Systems Champion Quiz 5

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Question 1

Which one of the following polar diagrams corresponds to lag network?

Question 2

The magnitude plot of a rational transfer function G(s) with real coefficients is shown below. Which of the following compensators has such a magnitude plot?

Question 3

Step responses of a set of three second-order underdamped systems all have the same percentage overshoot. Which of the following diagrams represents the poles of the three systems?

Question 4

Consider the system

and

where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true?

Question 5

The state variable description of an LTI system is given by

where y is the output and u is the input. The system is controllable for

Question 6

The state space representation of a separately excited DC servo motor dynamics is given as

find the transfer function for

will be

Question 7

Group 1 gives two possible choices for the impedance Z in the diagram. The circuit elements in Z satisfy the condition R₂C₂ > R₁C₁. The transfer function

represents a kind of controller. Match the impedances in Group I with the types of controllers in Group II.

Group-I
Q.

Group-II
1. PID controller
2. Lead compensator
3. Lag compensator

Question 8

The signal flow graph of a system is shown below.

The state variable representation of the system can be

Question 9

The state variable representation of a system is given as

The response y(t) is

Question 10

A control system with a PD controller is shown in the figure. If the velocity error constant K_V = 1000 and the damping ration ζ = 0.5, then the values of K_P and K_D are:

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ESE & GATE EC Control Systems

Nov 30ESE & GATE EC