An uncompensated system shown in Figure 3(a) has forward transfer function G(s) with a unity feedback. a.  Design a phase lead compensator shown in Figure 3(b) cascaded with the uncompensated system shown in Figure 3(a) that will have a 40% or better improvement of the settling time, at least 3 times improvement in percent overshoot. Assume a compensator zero at (given value zc = -10).Show all the complete solution.

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter23: Resistive-inductive-capacitive Series Circuits
Section: Chapter Questions
Problem 3PP: The circuit is connected to a 60-Hz line. The apparent power in the circuit is 29.985 VA, and the...
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An uncompensated system shown in Figure 3(a) has forward transfer function G(s) with a unity feedback.

a.  Design a phase lead compensator shown in Figure 3(b) cascaded with the uncompensated system shown in Figure 3(a) that will have a 40% or better improvement of the settling time, at least 3 times improvement in percent overshoot. Assume a compensator zero at (given value zc = -10).Show all the complete solution.

 

R(s) +
α
s(s+ b)
C(s)
G(s)
Figure 3(a): Uncompensated System
E(s)
Lead
G(s)
Figure 3(b): Phase Lead Compensator
G(s)
R(s) + E(s)
=
C(s)
Transcribed Image Text:R(s) + α s(s+ b) C(s) G(s) Figure 3(a): Uncompensated System E(s) Lead G(s) Figure 3(b): Phase Lead Compensator G(s) R(s) + E(s) = C(s)
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