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In root locus analysis, what does the root locus plot represent?

Practice Questions

Q1
In root locus analysis, what does the root locus plot represent?
  1. The path of the system poles as gain varies.
  2. The frequency response of the system.
  3. The time response of the system.
  4. The steady-state error of the system.

Questions & Step-by-Step Solutions

In root locus analysis, what does the root locus plot represent?
  • Step 1: Understand that a system can be represented by its poles in the s-plane, which is a graph showing complex numbers.
  • Step 2: Know that the poles are important because they determine the stability of the system.
  • Step 3: Realize that the root locus plot is a visual representation of how these poles change their positions in the s-plane.
  • Step 4: Learn that as you change the gain (a value that affects the system's response), the poles move along specific paths in the s-plane.
  • Step 5: Understand that the movement of the poles helps us see if the system will remain stable or become unstable as the gain changes.
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