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We will draw polar grids in root-locus by a Scilab with the damping ratios =0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9 and undamped natural frecuency =1,2.
Program in Scilab
clf;
sgrid([0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9],[1, 2])
xtitle('Lines of constant damping ratio and circles of constat undamped natural frequency ')
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