📄 fig9_41.m
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% Figure 9.41 Feedback Control of Dynamic Systems, 4e
% Franklin, Powell, Emami
%
% fig9_41.m is a script to create Figure 9.41, the step response of the
% attitude inner loop to a 2 degree step in pitch angle.
clf;
% the total inner loop system matrix is
ftq =[-0.0064 0.0263 0 -32.2000 0;
-0.0941 -0.6240 761.1400 -196.2000 0;
-0.0002 -0.0015 -4.4120 -12.4800 0;
0 0 1.0000 0 0;
0 -1.0000 0 830.0000 0];
g =[0;
-32.7000;
-2.0800;
0;
0];
h = [0 0 -1 0 0];
j =0;
% now remove the altitude to get the inner loop pitch angle
ft=ftq(1:4,1:4)
gt=g(1:4);
ht=[0 0 0 1];
% compute the dc gain
dcgain= -ht*inv(ft)*gt
% compute the reference input in radians from 2 degrees
r=2*pi/180
t=0:.1:8;
y=step(ft,r*gt/dcgain,ht,0,1,t);
plot(t,y);
xlabel('Time (sec)');
ylabel('\theta (t) (rad)');
grid;
title(' Fig. 9.41 step response of the pitch angle inner loop ')
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