C(s) R(s) + (4s3 +3s +2s+l)

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Show that the system shown in the figure below oscillates at a frequency of 1 rad/sec.

C(s)
R(s) +
(4s3 +3s +2s+l)
Transcribed Image Text:C(s) R(s) + (4s3 +3s +2s+l)
Expert Solution
Step 1

This is a unity negative feedback system. For this system to oscillate at some frequency, we need two closed loop poles on the imaginary axis. The characteristics equation (C.E) of the system is shown below:

Electrical Engineering homework question answer, Step 1, Image 1
Step 2

We can use Routh-Hurwitz table to find out these poles.

Electrical Engineering homework question answer, Step 2, Image 1
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