Question: Consider a unity feedback system with where 1 a 3 and 2 K 4. Use a PID controller and design the

Consider a unity feedback system with G(s) = K s + 2as + a

where 1 ≤ a ≤ 3 and 2 ≤ K ≤ 4.
Use a PID controller and design the controller for the worst-case condition. We desire that the settling time (with a 2% criterion) be T_s ≤ 0.8 s with an ITAE performance.

G(s) = K s + 2as + a

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