Consider the unity feedback system of Figure P9.1 with Gs

Chapter 9, Problem 13

(choose chapter or problem)

Consider the unity feedback system of Figure P9.1 with

G(s) = \(\frac{K}{s(s+20)(s+40)}\)

The system is operating at 20% overshoot. Design a compensator to decrease the settling time by a factor of 2 without affecting the percent overshoot and do the following: [Section: 9.3]

a. Evaluate the uncompensated system's dominant poles, gain, and settling time.

b. Evaluate the compensated system's dominant poles and settling time.

c. Evaluate the compensator's pole and zero. Find the required gain.

d. Use MATLAB or any other computer program to simulate the ML compensated and uncompensated systems’ step response.