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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 3.4

+

+clc;

+clear; 

+s=poly(0,'s')

+// the input is unit step signal

+h=syslin('c',100/(s^2+10*s+100))//the value of k is 100

+k=100

+zeta=0.5//given damping ratio

+disp(k,'the value of k is')

+disp(h,'the closed loop transfer function')

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

+//compaing h with the standard form

+w=sqrt(k)//natural frequency of oscillation

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

+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')