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Laplace.T Root-locus Transient response Frecuency response
       
 
 
 

5 Program 6.6 OGATA 4edition (root locus, damping ratios, undamped natural frecuency)




Let us calculate the roots-locus with indication of damping factor $\zeta$=0.5,0.707 and not damped natural frequency $\omega_{n}$=0.5, 1 and 2 by Scilab, a closed loop system with feedback unit whose transfer function in open-loop is:

\begin{displaymath}G(s)=\frac{K}{(s^{3}+4\cdot s^{2}+5\cdot s)}\end{displaymath}


Program in Scilab
num=poly([1 0 0 0],'s','coeff');
den=poly([0 5 4 1],'s','coeff');
g=syslin('c',num/den);
clf;
evans(g);
v=[-3 1 -2 2];
mtlb_axis(v)
sgrid([0.5, 0.707],[0.5, 1, 2],32);

 


Image Programa6_6

cajael