Question: The unity feedback system shown in Figure P9.1 with G(s) = K/s 2 is to be designed for a settling time of 1.667 seconds and

The unity feedback system shown in Figure P9.1 with G(s) = K/s² is to be designed for a settling time of 1.667 seconds and a 16.3% overshoot. If the compensator zero is placed at -1, do the following:

a. Find the coordinates of the dominant poles.

b. Find the compensator pole.

c. Find the system gain.

d. Find the location of all nondominant poles.

e. Estimate the accuracy of your second-order approximation.

f. Evaluate the steady-state error characteristics.

g. Use MATLAB or any other computer program to simulate the system and evaluate the actual transient response characteristics for a step input.

R(s) + E(s) C(s) G(s) FIGURE P9.1

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