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By adding a pole at the origin of s-plane, the Nyquist plot of a system will rotate by

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  1. 90° in anti-clockwise direction
  2. 90° in clockwise direction
  3. 180° in anti-clockwise direction
  4. 180° in clockwise direction

Answer (Detailed Solution Below)

Option 2 : 90° in clockwise direction
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Detailed Solution

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Due to adding a pole at s = 0, the angle of shifting in the Nyquist plot of the system will be a shift of 90° clockwise.

Due to adding a zero at s = 0, the angle of shifting in the Nyquist plot of the system will be a shift of 90° anti-clockwise.

The shapes of the Nyquist plot for different transfer functions are given below.

Type/Order

The shape of the Nyquist plot

Type 0, order 1

Type 0, order 2

Type 1, order 1

Type 1, order 2

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