Repeat Problem 7 assuming that the plant is represented in the parallel form. Do not convert to phase-variable form.

Data from Problem 7

Given the following open-loop plant:

design a controller to yield a10%overshoot and a settling time of 2 seconds. Place the third pole 10 times as far from the imaginary axis as the dominant pole pair. Use the phase variables for state-variable feedback.

20(s + 2) s(s+ 5)(s + 7) G(s) =