Electronics and Communication Engineering - Automatic Control Systems - Discussion
Discussion Forum : Automatic Control Systems - Section 1 (Q.No. 16)
16.
First column elements of Routh's tabulation are 3, 5, 
, 2. It means that there
, 2. It means that thereAnswer: Option
Explanation:
Since there are two sign changes in the first column, hence two roots in right half plane.
Discussion:
9 comments Page 1 of 1.
Kishore said:
1 decade ago
If there is negative sign in Routh's tabulation system became unstable. It means roots are at right half of s-plane. But here only one negative sign how two roots in right half s-plane?
Ta Meself said:
10 years ago
You have to look at sign CHANGES!
Swati said:
9 years ago
As root +5 changes to -3/4, here one sign change takes place and again from -3/4 to +1/2 second sign change occurs so there are two roots in the right half of s-plane.
Ajay said:
9 years ago
Well explained @Swati.
Shivani Aggarwal said:
9 years ago
Right, you are correct @@Swati.
Pkn said:
8 years ago
Correct @Swati.
Manjunath said:
8 years ago
Well explained @Swati.
Mukish Kumar said:
7 years ago
Great, very clear explanation. Thanks @Swati.
Mohamed said:
4 years ago
I think both the second and third options are correct.
Because: the first column has (3, 5, -3/4, 1/2, 2), these are 5 elements, that means the characteristic equation is in the 4th order (S^4), so it has 4 poles, and since there are two sign changes, there are two poles in the right-half S plane, and the other two poles are in the left-half S plane, so both second and third options are correct.
Because: the first column has (3, 5, -3/4, 1/2, 2), these are 5 elements, that means the characteristic equation is in the 4th order (S^4), so it has 4 poles, and since there are two sign changes, there are two poles in the right-half S plane, and the other two poles are in the left-half S plane, so both second and third options are correct.
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