Question: We need to stabilize the plant 3/(s2 - 4) with a feedback controller. The closed-loop system should have a damping ratio of = 0.707

We need to stabilize the plant 3/(s2 - 4) with a feedback controller. The closed-loop system should have a damping ratio of ζ = 0.707 and a dominant time constant τ =0.1.
a. Use PD control and compute the required values of the gains.
b. Use P control with rate feedback and compute the required values of the gains.
c. Compare the unit-step command responses of the two designs.

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