What is the significance of the Nyquist criterion in stability analysis?

Practice Questions

Q1
What is the significance of the Nyquist criterion in stability analysis?
  1. It determines the time response of the system.
  2. It provides a graphical method to assess stability based on the open-loop frequency response.
  3. It calculates the steady-state error.
  4. It is used to design PID controllers.

Questions & Step-by-Step Solutions

What is the significance of the Nyquist criterion in stability analysis?
  • Step 1: Understand that the Nyquist criterion is a method used in control theory.
  • Step 2: Know that it helps determine if a system is stable or not.
  • Step 3: Recognize that it uses a graph called the Nyquist plot, which shows how the system responds to different frequencies.
  • Step 4: Learn that the open-loop frequency response is the system's output when it is not yet controlled (open-loop).
  • Step 5: Realize that by analyzing the Nyquist plot, you can see how many times it encircles a specific point (the -1 point) in the graph.
  • Step 6: Understand that the number of encirclements tells you about the stability of the system: if it encircles the -1 point in a certain way, the system is unstable.
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