Consider the unity feedback system in Figure P9.1, with

The system is operated with 4.32% overshoot. In order to improve the steady-state error, K_p is to be increased by at least a factor of 5. A lag compensator of the form

is to be used.

a. Find the gain required for both the compensated and the uncompensated systems.

b. Find the value of K_p for both the compensated and the uncompensated systems.

c. Estimate the percent overshoot and settling time for both the compensated and the uncompensated systems.

d. Discuss the validity of the second-order approximation used for your results in Part c.

e. Use MATLAB or any other computer program to simulate the step response for the uncompensated and compensated systems. What do you notice about the compensated system’s response?

f. Design a lead compensator that will correct the objection you notice in Part e.

Transcribed Image Text:

K G(s) = (s +2)(s+ 4)