GATE IN 2025 IN Q28: Control Systems

Consider the control system block diagram given in Figure (a). The loop transfer function

does not have any pole on the

-axis. The counterclockwise contour with infinite radius, as shown in Figure (b), encircles two poles of

. Choose the correct statement from the following options for closed loop stability of the system.

Your answerChoose one option.

The locus of

should encircle the origin twice in the counterclockwise direction

The locus of

should encircle the origin twice in the clockwise direction

The locus of

should encircle the

point twice in the counterclockwise direction

The locus of

should encircle the

point twice in the clockwise direction

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