Question

Consider a negative unity feedback system with forward path transfer function G ( s ) = K ( s + a ) ( s b ) ( s + c ) , 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 G ( s ) 1 + G ( s ) of lying in the open right half of the s-plane is ______.

Show Answer

Answer :

Given the open-loop transfer function, G ( s ) = K ( s + a ) ( s b ) ( s + c )

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

Report
More Similar Tests

Related Tests