Which type of the controllers below must be used in a closed-loop control system, with the following open-loop transfer function and a negative unity feedback, to set the undamped natural frequency at \(\omega_{n}=10 \mathrm{rad} / \mathrm{s}\) but without affecting the damping ratio.

1) Proportional-integral ( \(\mathrm{PI})\) controller 2) Proportional ( \(\mathrm{P})\) controller 3) Lead controller with the minimum lead angle of \(37^{\circ}\)
4) Lead controller with the minimum lead angle of \(53^{\circ}\)

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G(s) = 25 s(s+8)