Damping optimum - something ain't right
I have to determine the gain K and the integrator time T_i of my PI controller to control my motor speed. I have to chose K and T_i according to the damping optimum which has 5% overshoot and short settling time. No matter how much I rewrite and calculate I can't get my result to overshoot like it should for the damped optimum response. Down below are some pictures. Appreciate the help and insight.
