4. For a second order system whose transfer function is given as: S+ 2 W(S) = S(S^2 + 3) Figure 1 PLANT TRANSFER FUNCTION find the gains of a PID controller, using root locus, so that the system has an aperiodic response, zero steady error and Ts< 2 s. Show how you are applying all of the root locus sketching rules, show the systems step response with determined PD gains indicating that the design was successful.

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 6.16P
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4. For a second order system whose transfer function is given as:
S+ 2
W(S) =
S(S^2 + 3)
Figure 1
PLANT TRANSFER
FUNCTION
find the gains of a PID controller, using root locus, so that the system has an aperiodic
response, zero steady error and Ts< 2 s.
Show how you are applying all of the root locus sketching rules, show the systems step
response with determined PD gains indicating that the design was successful.
Transcribed Image Text:4. For a second order system whose transfer function is given as: S+ 2 W(S) = S(S^2 + 3) Figure 1 PLANT TRANSFER FUNCTION find the gains of a PID controller, using root locus, so that the system has an aperiodic response, zero steady error and Ts< 2 s. Show how you are applying all of the root locus sketching rules, show the systems step response with determined PD gains indicating that the design was successful.
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