Control system
We may come across two types of situations, while forming the Routh table
Case 1-The first element of any row of the Routh array is zero.
If any row of the Routh array contains only the first element as zero and at least one of the remaining elements have non-zero value, then replace the first element with a small positive integer, ϵ.
And then continue the process of completing the Routh table.
Now, find the number of sign changes in the first column of the Routh table by substituting ϵ tends to zero.
00:15 write column with power of S
00:30 fill the routh table using coefficients of characteristic equation
01:10 do multiplication
02:20 first element of a row is zero and we have a non zero value in the same row
02:45 substitute 0 by ϵ.
06:00 after finding all element of column replace ϵ by 0
08:50 check the first column to find stability
09:08 check the number of sign changes
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