Repeat Problem 4 assuming that the plant is represented in the cascade form. Do not convert to phase-variable form.

Data from Problem 4

Given the following open-loop plant,  

design a controller to yield a 10% overshoot and a settling time of 0.5 second. 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.

50 G(s) (s + 1)(s + 3)(s + 10)