GATE EC 2021: Control Systems Quiz 8 (App update required to attempt this test)

Attempt now to get your rank among 272 students!

Question 1

A second order process having transfer function G(s) = is cascaded with a standard PD controller in unity feedback configuration. If the closed loop system have velocity error constant K_V = 300 and damping ratio ζ = 0.6, then the value of controller gain (k_P) is

Answer

Question 2

The transfer function of a lag compensator is given as, G(s)=k
If this lag compensator is designed by the RC circuit shown below, then the value of α will be

• A2
• B2.5
• C3
• D3.5

Question 3

The lead compensator has pole at s= -4 and a zero at s= -2. Then the maximum phase lead _m and the corresponding frequency _m is

• A_m=30⁰ andω_m=
• B_m=30⁰ andω_m=
• C_m=20⁰ andω_m=
• D_m=20⁰ andω_m=

Question 4

The transfer function of a PID controller is given by G(s) = 10[1++2s] as ω tends to zero

• AMagnitude of G (j) tends to zero and phase angle of G (j) tends to +90⁰.
• BMagnitude of G (j) tends to infinity and phase angle of G (j) tends to +90⁰.
• CMagnitude of G (j) tends to zero and phase angle of G (j) tends to -90⁰.
• DMagnitude of G (j) tends to infinity and phase angle of G (j) tends to -90⁰.

Question 5

A lead compensator network includes a parallel combination of R and C in the feed-forward path. If the transfer function of the compensator is , the value of RC is _________.

Answer

Question 6

The transfer function of a compensator is (s+4)/(s+16). The maximum phase lead frequency and the corresponding phase is

• A5 rad/sec, 36.87⁰
• B5 rad/sec, -36.87⁰
• C8 rad/sec, 36.87⁰
• D8 rad/sec, -36.87⁰

• 272 attempts
• 2 upvotes
• 7 comments