Question: The open-loop transfer function of a unity feedback system is: 20 G(s) (s + 1.5)(s + 3.5)(s+ 15) (a) Design a lag-lead compensator for

The open-loop transfer function of a unity feedback system is: 20 G(s) 

The open-loop transfer function of a unity feedback system is: 20 G(s) (s + 1.5)(s + 3.5)(s+ 15) (a) Design a lag-lead compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. (b) Design a PID compensator for G(s) using root locus so that the closed-loop system satisfies the design specifications. Design specifications SE to a unit step reference input is less than 0.02. Overshoot is less than 20%. Peak time is less than 2 seconds.

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