Given a unity feedback system with forward transfer function G(s). The system operates with 1s settling...

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Given a unity feedback system with forward transfer function G(s). The system operates with 1s settling time, and 24.8% overshoot. s + 10s + 125 s + s a. Determine the dominant second order pole's location of the system. G(s) = b. You decided to put a Lead compensator at Zc=-1 and Pc at-7 to improve the percent overshoot to 5%. Calculate the suitable value gain, K for the lead compensator to achieve this overshoot. Given a unity feedback system with forward transfer function G(s). The system operates with 1s settling time, and 24.8% overshoot. s + 10s + 125 s + s a. Determine the dominant second order pole's location of the system. G(s) = b. You decided to put a Lead compensator at Zc=-1 and Pc at-7 to improve the percent overshoot to 5%. Calculate the suitable value gain, K for the lead compensator to achieve this overshoot.