Question: Given the uncompensated unity feedback system of Figure P9.1, with do the following: a. Design a compensator to yield the following specifications: settling time =

Given the uncompensated unity feedback system of Figure P9.1, with

K G(s) = %3D s(s +1)(s + 3)

do the following:

a. Design a compensator to yield the following specifications: settling time = 2.86 seconds; percent overshoot = 4.32%; the steady-state error is to be improved by a factor of 2 over the uncompensated system.

b. Compare the transient and steady-state error specifications of the uncompensated and compensated systems.

c. Compare the gains of the uncompensated and compensated systems.

d. Discuss the validity of your second-order approximation.

e. Use MATLAB or any other computer program to simulate the uncompensated and compensated systems and verify the specifications.

K G(s) = %3D s(s +1)(s + 3)

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