Question
Consider a negative unity feedback system with forward path transfer function , where K, a, b, c are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the s-plane is the clockwise direction, the Nyquist plot of (1 + G(s)), encircles the origin (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 lying in the open right half of the s-plane is ______.
Answer :
Given the open-loop transfer function,
Clockwise encirclements = 1 i.e. N = -1
Open loop poles on right half of s plane, P = 1
The closed loop poles lying in the open right half of the s-plane,
Z = P – N = 1 – (-1) = 2
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