Which of the following indicates a stable system in the context of Bode plots?

Practice Questions

Q1
Which of the following indicates a stable system in the context of Bode plots?
  1. The gain margin is negative.
  2. The phase margin is positive.
  3. The gain increases indefinitely.
  4. The phase crosses -180 degrees at a low frequency.

Questions & Step-by-Step Solutions

Which of the following indicates a stable system in the context of Bode plots?
  • 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 components of a Bode plot: the magnitude plot and the phase plot.
  • Step 3: Focus on the phase plot, which shows the phase shift of the system at different frequencies.
  • Step 4: Learn about phase margin. It is the difference between the phase of the system at the gain crossover frequency and -180 degrees.
  • Step 5: Recognize that a positive phase margin means the system can tolerate some additional phase shift before becoming unstable.
  • Step 6: Conclude that if the phase margin is positive, the system is stable.
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