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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')