Question

Explain with control theory why the settling time doesn't change when going from open-loop to closed-loop configuration

Answer 1

The settling time doesn't change when going from open loop to closed loop because when we change from open loop to close loop only denominator value changes i.e, poles values changes while damping ratio and natural frequency remains same.

Settling time = 4/

As both damping factor( ) & natural frequency () are same for both open loop & closed loop system. So, the settling time doesn't change when going from open-loop to closed-loop configuration.