1. The time-domain analysis of control systems deals with the response of the system with respect to:
(A) Frequency
(B) Time
(C) Amplitude
(D) Phase
2. The total response of a control system is the sum of:
(A) Transient and damping responses
(B) Transient and steady-state responses
(C) Damping and oscillatory responses
(D) Forced and impulse responses
3. The transient response of a system depends on:
(A) The final value
(B) System poles and zeros
(C) The input amplitude only
(D) Steady-state gain
4. The steady-state response of a system depends on:
(A) Initial conditions
(B) System type and input type
(C) Poles only
(D) Natural frequency
5. In a first-order system, the time constant (τ) represents:
(A) The time taken for output to reach 100% of final value
(B) The time taken for output to reach 63.2% of final value
(C) The rise time
(D) The settling time
6. The transfer function of a first-order system is generally given as:
(A)
7. 𝐾
(B)
8. 𝐾
(C)
(D)
9. 𝐾
10. The rise time of a first-order system is approximately:
(A) 0.69T
(B) 1.69T
(C) 2.2T
(D) 4T
11. The steady-state error of a unity feedback system depends on:
(A) Poles only
(B) Type of input and number of integrators in the forward path
(C) Gain margin
(D) Phase margin
12. The steady-state error for a unit step input in a type 0 system is:
(A) Zero
(B) Finite
(C) Infinite
(D) Oscillatory
13. The steady-state error for a unit ramp input in a type 1 system is:
(A) Zero
(B) Finite
(C) Infinite
(D) Oscillatory
14. The steady-state error for a unit parabolic input in a type 1 system is:
(A) Zero
(B) Finite
(C) Infinite
(D) Negative
15. The damping ratio (ζ) of a second-order system affects:
(A) Steady-state value
(B) Transient response characteristics
(C) System type
(D) Steady-state error only
16. The natural frequency (ωₙ) determines:
(A) The speed of transient response
(B) Steady-state error
(C) System gain
(D) Input type
17. The overshoot in a second-order underdamped system increases when:
(A) Damping ratio increases
(B) Damping ratio decreases
(C) Natural frequency decreases
(D) Steady-state error increases
18. The peak time (Tp) of a second-order underdamped system is given by:
(A)
19. =
20. π
21. 𝑇
(B)
22. =
23. 1−ζ
24. π
25. 𝑇
(C)
26. =
27. 2π
28. 𝑇
(D)
29. =
30. 1
31. 𝑇
32. =
33. 1−ζ
34. π
35. The settling time (Ts) for a 2% criterion in a second-order system is approximately:
(A)
36. 1
37. 2
(B)
38. 2
39. 4
(C)
40. 4
41. 8
(D)
42. 8
43. 4
44. 4
45. The percent overshoot (PO) is given by:
(A)
46. ×100%
(B)
47. ×100%
(C)
48. t
(D)
49. ×100%
50. The unit step response of a first-order system is:
(A)
51. 𝑒
(B)
52. 𝑇
(C)
53. 1
(D)
54. 1
55. The term “steady-state” refers to:
(A) The portion of the response before reaching the final value
(B) The portion of the response after all transients die out
(C) The oscillatory portion of the response
(D) The initial response
56. A system is said to be critically damped when:
(A)
(B)
(C)
(D)