Question # 1: A unity feedback system with the forward transfer function G(S) = Do the following: K s(s+7) is operating with a closed-loop step response that has 15% overshoot. The dominant uncompensated poles are -3.5+j5.8 1. Evaluate the settling time. 2. Design a lead compensator to decrease the settling time by three times. 3. Choose the compensator's zero to be at -10. 4. Verify the steady-state error for a ramp input.

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Question # 1: A unity feedback system with the forward transfer function
G(s) =
Do the following:
K
s(s+ 7)
is operating with a closed-loop step response that has 15% overshoot. The dominant uncompensated poles
are -3.5+j5.8
1. Evaluate the settling time.
2. Design a lead compensator to decrease the settling time by three times.
3. Choose the compensator's zero to be at -10.
4. Verify the steady-state error for a ramp input.
Transcribed Image Text:Question # 1: A unity feedback system with the forward transfer function G(s) = Do the following: K s(s+ 7) is operating with a closed-loop step response that has 15% overshoot. The dominant uncompensated poles are -3.5+j5.8 1. Evaluate the settling time. 2. Design a lead compensator to decrease the settling time by three times. 3. Choose the compensator's zero to be at -10. 4. Verify the steady-state error for a ramp input.
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