Interpreting Root Locus

Header image
poles of an underdamped system
Root locus of a system
  1. The system is not stable for all values of gain “k”
  2. Initially the system doesn’t possesses oscillations (poles are real) but as k increases, there are oscillations (inclusion of imaginary part). In short increasing k, increases oscillations.
  3. As long as the system possesses oscillations and is stable, increasing k, decreases the decay rate of oscillation (real part of poles decreases with increasing k).
Root locus of a system
Step response of a system at different values of gain

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MUHAMMAD SALMAN KABIR

MUHAMMAD SALMAN KABIR

Electrical Engineer | Signal Processing & Machine Learning Enthusiast