Question: Consider a unity - feedback system with the following transfer function for the plant and controller: G ( s ) = K / s ^

Consider a unity-feedback system with the following transfer function for the plant and controller: G(s)= K/s^2. The closed-loop system needs to be designed to have a settling time of 1.667 s and 16.3% overshoot. Design a controller that utilizes a lead compensator with the compensator zero placed at-1. Determine the location of the desired poles, the location of the compensator pole, and the controller proportional gain.

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