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+//caption:design_suitable_compensator
+//example 8.6.3
+//page 344
+clc;
+s=%s;
+clf();
+syms K;
+g=(K/(s*(1+0.5*s)*(1+0.2*s)));
+Kv=1/0.125//static velocity error coefficient(Kv=desired output velocity/steady state error)
+//since Kv=8, as system is type 1 , so K=Kv;
+K=8;
+g=(8/(s*(1+0.5*s)*(1+0.2*s)));
+G=syslin('c',g)
+fmin=0.01;
+fmax=100;
+bode(G, fmin, fmax)
+show_margins(G)
+xtitle("uncompensated system")
+[gm,freqGM]=g_margin(G);
+[pm,freqPM]=p_margin(G);
+disp(gm,"gain_margin=");
+disp((freqGM*2*%pi),"gain_margin_freq_or_phase_cross_over_frequency==");
+disp(pm,"phase_margin=");
+disp((freqPM*2*%pi),"phase_margin_freq_or_gain_cross_over_frequency=");
+disp("since gain crossover freq and phase crossover freq are very close to each other. So, system is marginally stable");
+disp("so we need phase lag network ")
+disp("selecting zero of lead compensating network at w=0.18rad/sec and pole at w=0.04rad/sec and applying gain to account attenuatin factor .")
+gc=(1+5.55*s)/(1+24.7*s)
+Gc=syslin('c',gc)
+disp(Gc,"transfer function of lead compensator=");
+G1=G*Gc
+disp(G1,"overall transfer function=");
+fmin=0.01;
+fmax=100;
+figure();
+bode(G1, fmin, fmax)
+show_margins(G1)
+xtitle("compensated system")
+[gm,freqGM]=g_margin(G1);
+[pm,freqPM]=p_margin(G1);
+disp(gm,"gain_margin=");
+disp((freqGM*2*%pi),"gain_margin_freq_or_phase_cross_over_frequency==");
+disp(pm,"phase_margin_of_compensated_system=");
+disp((freqPM*2*%pi),"gain_cross_over_frequency="); \ No newline at end of file