A first-order system with the transfer function G(s) = 1/(0.5 s + 1) was placed under a closed-loop…

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A first-order system with the transfer function G(s) = 1/(0.5 s + 1) was placed under a closed-loop PI control. Determine if the system will have an overshoot for a step input: a. Kp = 2 and Ki = 1 b. Kp = 1 and Ki = 3 c. Determine the Kp and Ki gains so that the closed-loop system has a natural frequency of 5 rad/s and a damping ratio of 1.

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