Control Systems (ECE Perspective) – Multiple Choice Questions (MCQs)

1. 61. The initial value theorem for Laplace transform states that lim(t->0+) f(t) = :

   • A. lim(s->0) sF(s)
   • B. lim(s->∞) sF(s)
   • C. lim(s->0) F(s)
   • D. lim(s->∞) F(s)

2. 62. What is the primary role of a "compensator" in a control system?

   • A. To increase the power of the signal
   • B. To improve the overall performance and stability
   • C. To filter out noise
   • D. To provide an input signal

3. 63. A lead-lag compensator combines the characteristics of:

   • A. Proportional and Integral control
   • B. Lead and Lag compensation
   • C. Derivative and Proportional control
   • D. Feedforward and Feedback control

4. 64. The bandwidth of a control system is a measure of its ability to follow:

   • A. Slowly changing inputs
   • B. Rapidly changing inputs
   • C. Constant inputs
   • D. Sinusoidal inputs of all frequencies

5. 65. The error constant Kv for a type 1 system with a unit ramp input is related to its steady-state error by:

   • A. 1/Kv
   • B. Kv
   • C. 0
   • D. ∞

6. 66. Which compensation technique is used to improve the steady-state error without significantly affecting the transient response?

   • A. Lead compensation
   • B. Lag compensation
   • C. PID compensation
   • D. Feedforward compensation

7. 67. Which compensation technique is used to improve the transient response (speed and damping) of a system?

   • A. Lead compensation
   • B. Lag compensation
   • C. PID compensation
   • D. Feedforward compensation

8. 68. The phase-lead network primarily contributes to:

   • A. Increasing the phase lag
   • B. Increasing the phase lead
   • C. Reducing the gain
   • D. Increasing the steady-state error

9. 69. The phase-lag network primarily contributes to:

   • A. Increasing the phase lag
   • B. Increasing the phase lead
   • C. Increasing the gain
   • D. Decreasing the steady-state error

10. 70. The state transition matrix for a linear time-invariant (LTI) system is given by:

    • A. e^At
    • B. e^-At
    • C. A^-1
    • D. I

11. 71. The response of a control system to a sinusoidal input is analyzed using its:

    • A. Transfer function
    • B. Frequency response
    • C. Impulse response
    • D. Step response

12. 72. The transfer function of a digital control system is represented in the ________ domain.

    • A. s-domain
    • B. z-domain
    • C. time-domain
    • D. frequency-domain