Given the system: Y(s) U(s) = 180 s+6s+180 Propose a lead controller that makes the system...

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Given the system: Y(s) U(s) = 180 s²+6s+180 Propose a lead controller that makes the system have a settling time of half what it now has, never mind the overshoot. Also include a lag compensator that makes the steady-state error less than 5 percent on a unit scale input, present calculations, root locus plots, and simulations. Given the system: Y(s) U(s) = 180 s²+6s+180 Propose a lead controller that makes the system have a settling time of half what it now has, never mind the overshoot. Also include a lag compensator that makes the steady-state error less than 5 percent on a unit scale input, present calculations, root locus plots, and simulations.

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