📄 fig3_48.m
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% Figure 3.48 Feedback Control of Dynamic Systems, 4e
% Franklin, Powell, Emami
%
% Example 3.28
clf;
t=[0 .1 .2 .3 .4 .5 1];
y=[0 .005 .034 .085 .140 .215 .510];
A=-1.37;
alpha=1;
dy=y-(ones(1,7)+A*exp(-alpha*t));
axis([0 1 -3 0]);
B=.37; % 0.37 adjust B & beta to get best fit
beta=4.3; % 4.3 to data by trial and error
tf=[0 .1 .2 .3 .4 .5 .6 1];
fity=B*exp(-beta*tf);
dyl=log10(dy);
fityl=log10(fity);
plot(t,dyl,'o',tf,fityl,'-');grid;
title('Fig. 3.48 Plot of log10[y(t) - [y(10) + A*e^{(-\alpha*t)}]] vesus t');
ylabel('log B*e^{(-\beta*t)} ');
xlabel('Time (sec)');
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