Question: The unity feedback system shown in Figure P9.1 with is operating with 30% overshoot. a. Find the transfer function of a cascade compensator, the system

The unity feedback system shown in Figure P9.1 with

K G(s) = %3D (s +15)(s + 6s + 13)

is operating with 30% overshoot.

a. Find the transfer function of a cascade compensator, the system gain, and the dominant pole location that will cut the settling time in half if the compensator zero is at -7.

b. Find other poles and zeros and discuss your second order approximation.

c. Use MATLAB or any other computer program to simulate both the uncompensated and compensated systems to see the effect of your compensator.

K G(s) = %3D (s +15)(s + 6s + 13)

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