Which of the following indicates a stable system in the root locus plot?

Practice Questions

Q1
Which of the following indicates a stable system in the root locus plot?
  1. All poles are in the right half-plane.
  2. All poles are in the left half-plane.
  3. Poles are on the imaginary axis.
  4. Poles are outside the unit circle.

Questions & Step-by-Step Solutions

Which of the following indicates a stable system in the root locus plot?
  • Step 1: Understand what a root locus plot is. It shows the locations of the poles of a system as a parameter changes.
  • Step 2: Know what poles are. Poles are specific values in the complex plane that determine system behavior.
  • Step 3: Learn about the complex plane. It has a real axis (horizontal) and an imaginary axis (vertical).
  • Step 4: Identify the left half-plane. This is the part of the complex plane where the real part of the poles is negative.
  • Step 5: Recognize that for a system to be stable, all its poles must be in the left half-plane.
  • Step 6: Check the root locus plot. If all poles are located in the left half-plane, the system is stable.
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