📄 fig9_45.m
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% Figure 9.45 Feedback Control of Dynamic Systems, 4e
% Franklin, Powell, Emami
%
% fig9_45.m is a script to generate Fig. 9.45 the step response for the SRL
% design for the aircraft with state feedback augmenting the
% inner loop stabilization
clf;
%system matrices
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; -32.7; -2.08; 0; 0];
h=[0 0 0 0 1];
j=0;
k=[-.0011 .0016 -.0833 -1.613 -.0010];
fc=ftq-g*k;
% dc gain
dcgain=-h*inv(fc)*g;
r=100/dcgain;
t=0:.3:30;
% step response
y=step(fc,g*r,h,j,1,t);
plot(t,y);
v=[0, 30, 0, 100];
axis(v);
xlabel('Time (sec)');
ylabel('Altitude, h (ft)');
grid;
title( 'Fig. 9.45 Step response of the altitude autopilot')
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