Question

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)

Image Transcription

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

Expert Answer

7 Ratings
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:

Step 2

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

Step 3

By solving the auxilliary equation (A.E) we will get the location of the pol...

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