You are given the unity-feedback system of Figure P8.3, where

Use MATLAB to plot the root locus. Use a closeup of the locus (from -5 to 0 and — 1 to 6) to find the gain, K, that yields a closed-loop unit-step response, c(t), with 20.5% overshoot and a settling time of T_s = 3 seconds. Mark on the time response graph all other relevant characteristics, such as the peak time, rise time, and final steady-state value.

Transcribed Image Text:

K(s+0.02) G(s) = s(s+ 4)(s+ 10)(s+25)