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+//Example 5.10
+//Design using Lead compensator.
+
+xdel(winsid())//close all graphics Windows
+clear;
+clc;
+//------------------------------------------------------------------
+//System transfer function and its root locus
+
+s=poly(0,'s');
+
+NumG=1;
+DenG=s*(s+1);
+NumD=(s+2);
+DenD=(s+10);
+
+G=NumG/DenG;
+D=NumD/DenD;
+
+L=G*D; //open loop transfer function
+
+figure(0)
+evans(L)
+sgrid(0.5,7,6);
+
+xstring(-2,4,"Damping=0.5",0,0)
+xstring(-7,4,"w=7",0,0)
+//Title, labels and grid to the figure
+exec .\fig_settings.sci; // custom script for setting figure properties
+title('Root locus for lead design','fontsize',3)
+zoom_rect([-14 -8 4 8])
+h=legend('');
+h.visible = "off"
+//------------------------------------------------------------------
+// Unit step response
+//closed loop system
+K=70;
+sysc=K*L/(1+K*L);
+sysc=syslin('c',sysc);
+t=linspace(0,10,1000);
+y=csim('step',t,sysc);
+figure(1)
+plot(t,y);
+title('Step response for the system with lead compensator','fontsize',3)
+xlabel('Time (sec)','fontsize',2)
+ylabel('Amplitude','fontsize',2)
+set(gca(),"grid",[0.3 0.3])
+zoom_rect([0 0 1.8 1.4])
+exec .\fig_settings.sci;
+
+scf(0)
+pl=roots(DenG*DenD+K*NumG*NumD) //closed loop poles at K=70;
+plot(real(pl),imag(pl),'ro') //closed loop pole-locations at K=70;
+xstring(-5.8,6,"K=70",0,0)
+//------------------------------------------------------------------
+
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