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Overshoot

Overshoot Equation


$$ M_p = e^{\frac{-ζ \pi}{\sqrt{1-ζ^2}}} \cdot 100 $$
where:

Mp   =   Overshoot   (%)

ζ   =   Damping Ratio   (dimensionless)


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Equation Assumptions


  • The system is a linear time-invarient system.
  • The system is of second order.
  • The response is underdamped (ζ < 1).
  • The input is a step input.