Q5: A closed loop system is shown in Figure Q5: K U(s)- Y(s) s(s+2) 1+ as Figure 05 1- Determine the value of K and a so that the maximum overshoot is 0.20 and settling time (2% criterion) is 4 sec to a unit step input. 2- Determine the peak time for a unit step input and the steady state error for a ramp input. 3- What would be the value of a to attain critical damping (assume K = 1).

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.59P
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Q5: A closed loop system is shown in Figure Q5:
K
U(s)-
Y(s)
s(s+2)
1+ as
Figure 05
1- Determine the value of K and a so that the maximum overshoot is 0.20 and settling time (2%
criterion) is 4 sec to a unit step input.
2- Determine the peak time for a unit step input and the steady state error for a ramp input.
3- What would be the value of a to attain critical damping (assume K = 1).
Transcribed Image Text:Q5: A closed loop system is shown in Figure Q5: K U(s)- Y(s) s(s+2) 1+ as Figure 05 1- Determine the value of K and a so that the maximum overshoot is 0.20 and settling time (2% criterion) is 4 sec to a unit step input. 2- Determine the peak time for a unit step input and the steady state error for a ramp input. 3- What would be the value of a to attain critical damping (assume K = 1).
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