Work out overshoot percentage instantly with clear inputs, formula shown and shareable results.
Overshoot is the peak excess over the setpoint divided by the step size, not by the setpoint. Inverting the standard second-order relation recovers the damping ratio, so a measured overshoot alone tells you how much damping the closed loop actually has.
Overshoot
overshoot % = (peak - setpoint) / (setpoint - start) x 100; zeta = -ln(OS) / sqrt(pi^2 + ln(OS)^2)
Because the response is to the change. A move from 20 to 100 is an 80 unit step, so an 18 unit excess is 22.5% overshoot, not 18%.
Often yes. Zero overshoot means an over-damped loop that responds slowly. Aim for 5-15% unless the process cannot tolerate exceeding setpoint.