What is the significance of the gain margin in stability analysis?

Practice Questions

Q1
What is the significance of the gain margin in stability analysis?
  1. It indicates the speed of the system.
  2. It measures how much gain can be increased before the system becomes unstable.
  3. It shows the phase shift of the system.
  4. It determines the steady-state error.

Questions & Step-by-Step Solutions

What is the significance of the gain margin in stability analysis?
  • Step 1: Understand that gain margin is a measure used in control systems to assess stability.
  • Step 2: Recognize that gain refers to how much the output of a system increases when the input increases.
  • Step 3: Realize that a system is stable if it responds well to inputs without going out of control.
  • Step 4: Learn that gain margin tells us how much we can increase the gain before the system becomes unstable.
  • Step 5: Conclude that a higher gain margin means the system can handle more gain without becoming unstable, which is a good sign for stability.
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