2 Pole Step Response

Cuthbert Nyack

The step response of a 2 pole system is shown in the applet below.
The open and closed loop transfer function for the system is
type 1 G(s) = K/(s(T1s + 1)), C(s)/R(s) = K/(s(T1s + 1) + K))
and
type 0 G(s) = K/((T1s + 1)(T2s + 1)), C(s)/R(s) = K/((T1s + 1)(T2s + 1) + K))
The 5% lines can used to determine the rise and settling times while the vertical ruler can be used to calculate the overshoot.
For the type 1 system the overshoot is e^{-p/Ö(4K*T1 - 1)}.

Gif image below shows how applet should appear.

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