Question

4. Determine the stability of a system whose Nyquist's path is shown if figure (2).

Answer 1

RH plane, Nyquist Plot convert to Basically Nyquint and stability to defined we have N=p-2 Il states that The Nyquint elability coiterian works on the principle of argument. if there P 2 are p Pales and 2 zeros are encoded by s-plane cloxed path, then the corresponding Gils Hes) Plone must encircle the origin ท times . example P= Right hand side Pole in het Plane I= Right hand side zero in GH Plane P=1 Pele in Right hand side of an plane N=P-2 0 let & N=1 given 80 N=P-2 1=1-2 20 p=2 if so dtable system N=1 giren N=P-2 so 2 1=2-2 -= -2 unstable dystem.

songelats Nyquiet flot tog 90' toj Re(GH) o Log -90 Ne no Po this Nyquist Plot Find the N=P-2 1 of encirclement of 0,0) if N=-ve no encioclement of Polar Pohod is schockwide J N=tvo to encirclement of Polar Plot is Anticlockwise P= Right hand side Pale of open loop TF 2= Right hand side zero of Rih Plane wo Polar Plot as Rullere م ثں WEPO