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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
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+//Example 3.25 Aircraft Response
+xdel(winsid())//close all graphics Windows
+clear;
+clc;
+//------------------------------------------------------------------
+//(a)impulse response of aircraft
+
+//Transfer function of aircraft
+numG=[-6 1];
+denG=[0 13 4 1];
+Ns=30*poly(numG,'s','coeff');
+Ds=poly(denG,'s','coeff');
+u=-1 //impulsive elevator input of 1 degree
+sysG=syslin('c',u*Ns/Ds);
+
+//impulse response
+t=0:0.02:10;
+gt=csim('impuls',t,sysG);
+plot(t,gt)
+exec .\fig_settings.sci; //custom script for setting figure properties
+title('Response of an airplanes altitude to an impulsive elevator input','fontsize',3)
+xlabel('Time (sec.)','fontsize',2)
+ylabel('Altitude (ft)','fontsize',2)
+
+//final value theorem, lim s-->0 in s*G(s)
+s=%s;
+gt_final=horner(s*sysG,0)
+disp(gt_final,"The final value of the output altitude is:")
+//------------------------------------------------------------------
+//(b)response specifications
+
+//damping factor (xi) and natural frequency (wn)
+[wn xi]=damp(sysG);
+wn=wn(2);//natural frequency (wn)
+xi=xi(2);//damping factor
+disp(wn,xi,"Damping factor and natural frequency (rad)...
+ of the response are:")
+
+tr=1.8/wn; //rise time
+disp(tr,"Rise time (sec) of the response is:")
+
+sigma=xi*wn
+ts=4.6/sigma; //settling time
+disp(ts,"Settling time (sec) of the response is:")
+
+Mp=exp(-xi*%pi/sqrt(1-xi^2))
+wd=wn*sqrt(1-xi^2);
+tp=%pi/wd;
+disp(tp, Mp,"Overshoot and time of overshoot (sec)...
+ in the response are:")
+
+//------------------------------------------------------------------