Question: Given a unity negative - feedback system below G ( s ) = K ( s + 1 ) ( s + 3 ) Design

Given a unity negative-feedback system below
G(s)=K(s+1)(s+3)
Design a PID controller that will yield a peak time of 1.122 seconds with a damping ratio of 0.7071 with zero steady-state error. Simulate the step response for this system using MATLAB or Python.
Given a unity negative - feedback system below G

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