Exam (11).pdf - Question A numerically controlled machine tool positioning servomechanism has a normalized and scaled transfer function given by

# Exam (11).pdf - Question A numerically controlled machine...

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Question: A numerically controlled machine tool positioning servomechanism has a normalized and scaled transfer function given by Performance specifications of the system in the unity feedback configuration of Fig. are satisfied if the closed-loop poles are located at (a) Show that this specification cannot be achieved by choosing proportional control alone, Dc(s) = kp. (b) Design a lead compensator Â that will meet the specification. Figure Unity feedback system Answer : (a) Assume is the proportional control. Write the loop transfer function.
Substitute for in the equation. Closed loop poles lie on root locus and must satisfy the angle criterion. Take positive sign and check the angle criteria . Take negative sign and check the angle criteria. Therefore, if is replaced by proportional control alone then the obtained

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