Electrical Engineering > GATE 2020 > Stability Analysis
Consider a negative unity feedback system with forward path transfer function
G(s) = K / ((s + a)(s - b)(s + c)),
where K, a, b, and c are positive real numbers.
For a Nyquist path enclosing the entire imaginary axis and right half of the s-plane in the clockwise direction, the Nyquist plot of (1 + G(s)) encircles the origin of the (1 + G(s)) plane once in the clockwise direction and never passes through this origin for a certain value of K.
Then, the number of poles of G(s) / (1 + G(s)) lying in the open right half of the s-plane is __________.
For a Nyquist path enclosing the entire imaginary axis and right half of the s-plane in the clockwise direction, the Nyquist plot of (1 + G(s)) encircles the origin of the (1 + G(s)) plane once in the clockwise direction and never passes through this origin for a certain value of K.
Then, the number of poles of G(s) / (1 + G(s)) lying in the open right half of the s-plane is __________.
Correct : 2 to 2
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