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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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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