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3. For the unity feedback system in Fig-4, with

K

(s+1)(s+4)

R(s)

G(s)

E(s)

G(s)

C(s)

Fig-4

a. Design a PID controller that will yield at peak time of 1.2s and damping

ratio 0.8 with zero error in step input.

b. Use matlab to verify your design.

Fig: 1