Question

6. A system has the following characteristic equation: $$F(s) = s^6 + 2s^5 + 8s^4 + 12s^3 + 20s^2 + 16s + 16$$ Construct the Routh array. Apply the Routh-Hurwitz stability criterion to check the stability of the system.

Name: 6 a system has the following characteristic equation fs s6 2s5 8s4 12s3 20s2 16s 16 construct the routh array apply the routh hurwitz stability criterion to check the stability of the system 90832
Uploaded: 2022-06-16T10:38:33-08:00
Duration: 2 min 31 s
Channel: Shaiju T
Description: 6 a system has the following characteristic equation fs s6 2s5 8s4 12s3 20s2 16s 16 construct the routh array apply the routh hurwitz stability criterion to check the stability of the system 90832

          6. A system has the following characteristic equation:
$$F(s) = s^6 + 2s^5 + 8s^4 + 12s^3 + 20s^2 + 16s + 16$$
Construct the Routh array. Apply the Routh-Hurwitz stability criterion to check
the stability of the system.

6 a system has the following characteristic equation fs s6 2s5 8s4 12s3 20s2 16s 16 construct the routh array apply the routh hurwitz stability criterion to check the stability of the system 90832

Added by Emily R.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Shaiju T

06/16/2022

Step 1

The characteristic equation is given by $$F(s) = s^6 + 2s^5 + 8s^4 + 12s^3 + 20s^2 + 16s + 16$$ The Routh array is constructed as follows: | s^6 | 1 | 8 | 20 | 16 | |---|---|---|---|---| | s^5 | 2 | 12 | 16 | 0 | | s^4 | (2*8 - 1*12)/2 = 2 | (2*20 - 1*16)/2 = 12 Show more…

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6. A system has the following characteristic equation: $$F(s) = s^6 + 2s^5 + 8s^4 + 12s^3 + 20s^2 + 16s + 16$$ Construct the Routh array. Apply the Routh-Hurwitz stability criterion to check the stability of the system.