GATE 2020: Control Systems Quiz 1

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Question 1

Which is correct about control system block diagram?

• AY(s) = G_P(s) x [W(s) - V_T(s)]
• BY(s) = G_P(s) x [G_C(s)E(s) - V_T(s)]
• CY(s) = G_P(s) x [G_C(s)(U(s) - G_S(s)Y(s)) - V_T(s)]
• DAll of these

Question 2

Identify which among the following is a closed loop system?

• AAir Conditioner
• BDigital servo motor
• CHuman brain
• DAll of these

Question 3

The transfer function of the system described by with X as input and y as output is

• A
• B
• C
• D

Question 4

For the block diagram shown in figure, the transfer function is equal to

• A
• B
• C
• D

Question 5

A control system with certain excitation is governed by the following mathematical equation

The natural time constant of the response of the system are

• A T₁ = 2 sec & T₂ = 5 sec
• B T₁ = 3 sec & T₂ = 6 sec
• C T₁ = 4 sec & T₂ = 4 sec
• D T₁ = 6 sec & T₂ = 2 sec

Question 6

A system is described by the following differential equation is initially at rest. For input the output is

• A
• B
• C
• D

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