GATE EC 2016 Set 1 — Question 57
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Control Systems → LTI Systems → Poles & Zeros
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Question
The transfer function of a linear time invariant system is given byThe number of zeros in the right half of the -plane is ________
Correct answer
3 to 3
Solution
The zeros of the system are the roots of the polynomial .
We can find the roots by inspection or using the Routh-Hurwitz criterion.
By inspection:
. So, is a root (RHP).
. So, is a root (LHP).
Dividing by :
The roots of are:
Both and are in the right half of the -plane.
Thus, the roots are . The roots in the right half plane (RHP) are .
The number of zeros in the right half of the -plane is 3.
We can find the roots by inspection or using the Routh-Hurwitz criterion.
By inspection:
. So, is a root (RHP).
. So, is a root (LHP).
Dividing by :
The roots of are:
Both and are in the right half of the -plane.
Thus, the roots are . The roots in the right half plane (RHP) are .
The number of zeros in the right half of the -plane is 3.
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