Explore topic-wise MCQs in Control Systems.

This section includes 17 Mcqs, each offering curated multiple-choice questions to sharpen your Control Systems knowledge and support exam preparation. Choose a topic below to get started.

1.

The loop transfer function of a system is given by G(s) H(s) =10e-Ls/s. The phase crossover frequency is 5rad/s. The value of the dead time L is

A. π/20
B. π/10
C. -π/20
D. Zero
Answer» C. -π/20
2.

The gain margin in dBs of a unity feedback control system whose open loop transfer function, G(s) H(s) =1/s(s+1) is

A. 0
B. 1
C. -1
D.
Answer» E.
3.

In a feedback control system, phase margin(PM) is1. Directly proportional to G2. Inversely proportional to G3. Independent of G4. Zero when G =0Which of the above statements are correct?

A. 1 and 2
B. 2 and 3
C. 3 and 4
D. 1 and 4
Answer» E.
4.

The open loop transfer function of a system is :G(s) H(s) =K/ (1+s) (1+2s) (1+3s)The phase crossover frequency wpc is:

A. √2
B. 1
C. Zero
D. √3
Answer» C. Zero
5.

The phase angle of the system G(s) =s+5/s2+4s+9;varies between

A. 0° and 90°
B. 0° and -90°
C. 0° and -180°
D. -90° and -180°
Answer» C. 0° and -180°
6.

The transfer function of a system is given by Y(s)/X(s) = e−0.1s/1+s. If x(t) is 0.5sint, then the phase angle between the output and the input will be:

A. -39.27°
B. -45°
C. -50.73°
D. -90°
Answer» D. -90°
7.

Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response.Reason (R): Large resonance peak in frequency response corresponds to a large overshoot in transient response.

A. Both A and R are true and R is the correct explanation of A
B. Both A and R are true and R is not the correct explanation of A
C. A is true but R is false
D. A is false but R is true
Answer» B. Both A and R are true and R is not the correct explanation of A
8.

The forward path transfer function of a unity feedback system is given by G(s) = 100/(s2+10s+100). The frequency response of this system will exhibit the resonance peak at:

A. 10 rad/sec
B. 8.66 rad/sec
C. 7.07 rad/sec
D. 5rad/sec
Answer» D. 5rad/sec
9.

THE_GAIN_MARGIN_IN_DBS_OF_A_UNITY_FEEDBACK_CONTROL_SYSTEM_WHOSE_OPEN_LOOP_TRANSFER_FUNCTION,_G(S)_H(S)_=1/S(S+1)_IS?$

A. 0
B. 1
C. -1
D. ‚àû
Answer» E.
10.

The_loop_transfer_function_of_a_system_is_given_by_G(s)_H(s)_=10e-Ls/s._The_phase_crossover_frequency_is_5rad/s._The_value_of_the_dead_time_L_is$

A. π/20
B. π/10
C. -π/20
D. Zero
Answer» C. -‚âà√¨‚àö√ë/20
11.

Which one of the following statements is correct for gain margin and phase margin of two closed-loop systems having loop functions G(s) H(s) and exp(-s) G(s) H(s)?

A. Both gain and phase margins of the two systems will be identical
B. Both gain and phase margins of G(s) H(s) will be more
C. Gain margins of the two systems are the same but phase margins of G(s) H(s) will be more
D. Phase margins of the two systems are the same but gain margin of G(s) H(s) will be less
Answer» D. Phase margins of the two systems are the same but gain margin of G(s) H(s) will be less
12.

The open loop transfer function of a system is :

A. H(s) =K/ (1+s) (1+2s) (1+3s)
B.
C. ‚àö2
Answer» C. ‚Äö√Ñ√∂‚àö‚Ć‚àö‚àÇ2
13.

The phase angle of the system G(s) =s+5/s2+4s+9;varies between

A. 0° and 90°
B. 0° and -90°
C. 0° and -180°
D. -90° and -180°
Answer» C. 0¬¨¬®‚Äö√†√ª and -180¬¨¬®‚Äö√†√ª
14.

The critical value of gain for the system is 40. The system is operating at a gain of 20. The gain margin of the system is :

A. 2 dB
B. 3 dB
C. 6 dB
D. 4 dB
Answer» D. 4 dB
15.

The transfer function of a system is given by Y(s)/X(s) = e‚àí0.1s/1+s. If x(t) is 0.5sint, then the phase angle between the output and the input will be:$

A. -39.27°
B. -45°
C. -50.73°
D. -90°
Answer» D. -90¬¨¬®‚Äö√†√ª
16.

Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response.

A. : Large resonance peak in frequency response corresponds to a large overshoot in transient response.
B. Both A and R are true and R is the correct explanation of A
C. Both A and R are true and R is not the correct explanation of A
D. A is true but R is false
Answer» B. Both A and R are true and R is the correct explanation of A
17.

The forward path transfer function of a unity feedback system is given by G(s) = 100/(s2+10s+100). The frequency response of this system will exhibit the resonance peak at:

A. 10 rad/sec
B. 8.66 rad/sec
C. 7.07 rad/sec
D. 5rad/sec
Answer» D. 5rad/sec