Question: 2. Consider the block diagram of the closed loop system shown below. For a unit step change in the set point, a) Derive the closed

2. Consider the block diagram of the closed loop system shown

2. Consider the block diagram of the closed loop system shown below. For a unit step change in the set point, a) Derive the closed loop feedback response of the system (in the s domain) and find expressions for (natural period of oscillation) and (damping factor). b) Which value of the 1 for Kp=0.5,p=4 and Kc=1 that makes the system oscillatory? c) Find the value of 1 for KD=0.5,p=4 and Kc=1 that makes the system for 1/4 decay ratio tuning

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