AP7.10 A feedback system is shown in Figure AP7.10.

Sketch the root locus as K varies when K ≥ 0.

Determine a value for K that will provide a step response with a percent overshoot of P O. . ≤ 5% and a settling time (with a 2% criterion) of Ts ≤ 2.5 s.

10 Y(s) R(s) (s+2)(s+5) K s+K FIGURE AP7.10 A nonunity feedback control system.