Module 4 : Feedback controller

Lecture 10 : Gain Margin and Phase Margin

IV.5.5 Nyquist Stability Criterion

The Bode stability criterion is valid for systems where amplitude ratio and phase shift decreases monotonically with Nyquist stability criterion does not have any such limitation and is applicable in more general sense. The criterion states that:

If open-loop Nyquist plot of a feedback system encircles the point (-1,0) as the frequency varies from to the closed loop response is unstable.

(a) Stable process

(b) Unstable process

Fig. IV.16: Example of systems for studying Nyquist stability criterion