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+//control systems by Nagoor Kani A

+//Edition 3

+//Year of publication 2015

+//Scilab version 6.0.0

+//operating systems windows 10

+// Example 3.7

+

+clc;

+clear; 

+s=%s

+p=poly([1 0.4 0 ],'s','coeff')

+q=poly([0 0.6 1],'s','coeff')

+g=p./q

+disp(g,'the given transfer function is')

+c=g/(1+g)

+disp(c,'the closed loop transfer function is')

+u=c/s

+disp(u,'the in put is unit step signal')

+//standard form od second order system is w^2/s^2+2*zeta*w*s+w^2

+//compaing h with the standard form

+w=1//natural frequency of oscillation

+disp(w,'natural frequency of oscillation in rad/sec')

+zeta=1/(2*w)

+disp(zeta,'the damping ratio is')

+mp=exp((-zeta*%pi)/sqrt(1-(zeta)^2))*100//percentage peak overshoot 

+disp(mp,'percentage peak overshoot in percentage')

+tp=%pi/(w*sqrt(1-(zeta)^2))

+disp(tp,'peak time in seconds')