📄 fig9_33.m
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% Figure 9.33 Feedback Control of Dynamic Systems, 4e
% Franklin, Powell, Emami
%
% Fig. 9.33 Script for computation of the frequency response of yaw
% control. Aircraft Bode plot.
clf;
f =[-0.0558 -0.9968 0.0802 0.0415;
0.5980 -0.1150 -0.0318 0 ;
-3.0500 0.3880 -0.4650 0 ;
0 0.0805 1.0000 0] ;
g =[0.0073;
-0.4750;
0.1530;
0];
h = [0 1 0 0];
j =[0];
% the equations of the actuator:
na=[0 10];
da=[1 10];
[fa,ga,ha,ja]=tf2ss(na,da);
% the equations of the aircraft with actuator:
[fp,gp,hp,jp]=series(fa,ga,ha,ja,f,g,h,j);
% the uncompensated rootlocus
% hold off; clg
% axis([-2 2 -1.5 1.5]); rlocus(fp,-gp,hp,jp)
%pause
% the uncompensated frequency response;
w= logspace(-1, 1);
[magp ,php]=bode(fp,-gp,hp,jp,1,w);
magp1=[magp, ones(size(magp))];
subplot(211);
loglog(w,magp1);
grid;
xlabel('\omega (rad/sec)');
ylabel('Magnitude, |G(s)|');
title('Fig. 9.33 Frequency response of the yaw damper with direct feedback');
php1=[php, -180*ones(size(php))];
subplot(212);
semilogx(w, php1);
grid;
xlabel('\omega (rad/sec)');
ylabel('Phase (deg)');
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