Nyquist

Discrepancy in stability conditions when calculating via RH criterion and Nyquist criteria

Discrepancy in stability conditions when calculating via RH criterion and Nyquist criteria
  1. Which of the following is the condition for Nyquist stability criterion?
  2. What is the condition for stable system in the given Nyquist plot?
  3. What are the advantages of Nyquist stability criterion?
  4. What does the Nyquist criterion tell us?

Which of the following is the condition for Nyquist stability criterion?

Nyquist stability criterion states the number of encirclements about the critical point (1+j0) must be equal to the poles of characteristic equation, which is nothing but the poles of the open loop transfer function in the right half of the 's' plane.

What is the condition for stable system in the given Nyquist plot?

The greater the gain margin, the more stable the system. If the gain margin is zero, the system is marginally stable. (Note: the text also shows that the Nyquist plot crosses the real axis when the Nyquist path is going through the point s=j3.

What are the advantages of Nyquist stability criterion?

The Nyquist plot (one is shown in the video above) is a very useful tool for determining the stability of a system. It has advantages over the root locus and Routh-Horwitz because it easily handles time delays. However, it is most useful because it gives us a way to use the Bode plot to determine stability.

What does the Nyquist criterion tell us?

The Nyquist criterion states that a repetitive waveform can be correctly reconstructed provided that the sampling frequency is greater than double the highest frequency to be sampled.

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