10. For the unity feedback system shown in Figure P7.1, where [Section: 7.3] 5000 G(s) : s(s + 75) a. What is the expected percent overshoot for a unit step input? b. What is the settling time for a unit step input? c. What is the steady-state error for an input of 5u(t)? d. Whatis the steady-state errorforaninput of 5tu(t)? c. What is the steady-state error for an input of 5r²u(t)? R(s) E(s) C(s) G(s) FIGURE P7.1

1. For the unity feedback system of Figure P1, find the range of K for stability. R(s) K s(s+7)(s +11) C(s) Figure P1

17. For the unity feedback system of Figure P9.1, with G(s) = K (s²+20s101) (s +20) the damping ratio for the dominant poles is to be 0.4, and the settling time is to be 0.5 second. [Sec- tion: 9.3] a. Find the coordinates of the dominant poles. b. Find the location of the compensator zero if the compensator pole is at -15. c. Find the required system gain. d. Compare the performance of the uncompensated and compensated systems. e. Use MATLAB or any other computer program to simulate the system to check your design. Redesign if necessary. MATLAB ML