Which of the following indicates a stable system in a Bode plot?

Practice Questions

Q1
Which of the following indicates a stable system in a Bode plot?
  1. The gain margin is positive.
  2. The phase margin is negative.
  3. The gain increases without bound.
  4. The phase crosses -180 degrees.

Questions & Step-by-Step Solutions

Which of the following indicates a stable system in a Bode plot?
  • Step 1: Understand what a Bode plot is. It is a graph that shows how a system responds to different frequencies.
  • Step 2: Identify the two main parts of a Bode plot: the magnitude plot (shows gain) and the phase plot (shows phase shift).
  • Step 3: Look for the gain margin on the magnitude plot. This is the amount of gain increase the system can handle before it becomes unstable.
  • Step 4: Check the phase plot for the phase crossover frequency, which is where the phase angle is -180 degrees.
  • Step 5: Determine the gain margin. If the gain margin is positive, it means the system can handle some increase in gain without becoming unstable.
  • Step 6: Conclude that a positive gain margin indicates a stable system in the Bode plot.
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