The open-loop transfer function of a control system is as follows: Design a controller (left(G_{c}(s)ight)) in the

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The open-loop transfer function of a control system is as follows:

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Design a controller \(\left(G_{c}(s)ight)\) in the feedback structure, so that \(-1 \pm j 2\) are the closed-loop poles of the system.

1) \(25 \frac{s+2}{s+12}\)
2) \(25 \frac{s+12}{s+2}\)
3) \(12 \frac{s+2}{s+3}\)
4) \(12 \frac{s+3}{s+2}\)

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