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Loop transfer function of a feedback system is G(s)H(s)=(s+3)/(s²(s-3)). Take the N nyquist contour in the clockwise direction. Then, the N nyquist plot of G(s)H(s) encircles -1+j0

1. once in clockwise direction
2. twice in clockwise direction
3. once in anticlockwise direction
4. twice in anticlockwise direction

Correct answer: once in clockwise direction

Solution

The Nyquist plot encircles the point -1+j0 once in the clockwise direction, indicating that the system has one pole in the right half-plane, which corresponds to a single unstable pole affecting the stability of the closed-loop system.

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