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What is Nyquist Criteria ?

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What is Nyquist Criteria ?


Nyquist Stability Criterion Definition


The Nyquist stability criterion is defined as a graphical technique used in control engineering to determine the stability of a dynamical system.


 

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Application of Nyquist Criterion


It applies to open-loop systems and can handle transfer functions with singularities, unlike Bode plots.


 

Criterion Formula


 

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Z = number of roots of 1+G(s)H(s) in right-hand side (RHS) of s-plane (It is also called zeros of characteristics equation)


N = number of encirclement of critical point 1+j0 in the clockwise direction


P = number of poles of open loop transfer function (OLTF) [i.e. G(s)H(s)] in RHS of s-plane.


 

 

 

 

Examples of Nyquist Criterion


Different open-loop transfer functions demonstrate stable, unstable, and marginally stable systems using Nyquist plots.


 

Matlab Examples


Matlab code helps plot Nyquist diagrams to analyze the stability of various systems.



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