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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 6.13
+
+clc;
+clear;
+s=poly(0,'s')
+//given tranfer function g(s)=100/(s+1)*(s+2)*(s+10)
+h=syslin('c',100/(s+1)*(s+2)*(s+10))
+pm=45//given phase margin
+w=4//given gain cross over frequency in rad/sec
+//put s=jw in G(s) magnitude of G(jw) gives A1 and angle of G(jw) gives phi1 at w
+A1=0.5
+phi=-161//in degrees
+theta=pm-19//desired pm -pm of uncompensated system
+ess=0.1//steady state error for ramp input
+kv=1/ess//velocity errpr constant
+//the transfer function of PID controller is Gc(s)=kp+kd*s+ki/s
+//by definition of velocity error constant applying s=0 in S*Gc(s)*G(s)
+ki=2//integeral constant
+disp(ki,'the value of integral constant')
+kd=((sind(theta)/(w*A1))+(ki/w^2))//derivative constant
+kp=cosd(theta)/A1//proportional constant
+disp(kd,kp,'the values of proportional constant and derivative constant are')
+hc=syslin('c',0.344*(s^2+5.23*s+5.81)/s)
+disp(hc,'the transfer function of PID controller is')
+hcmp=syslin('c',h*hc)
+disp(hcmp,'the transfer function of compensated system is')