📄 chap2_fig2_1.m
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% This m.file plots Figure 2.1 in Chapter 2
% Chap2_Fig2_1.m
clc, clear all, close all
K=5; A=2;
taumax=10;
hold on
tau = 0.5;
ti=linspace(0,5*taumax,1500);
yi=K*A*(1-exp(-ti/tau));
plot(ti,yi,'b')
tau = 2;
ti=linspace(0,5*taumax,400);
yi=K*A*(1-exp(-ti/tau));
plot(ti,yi,'r')
tau = 5;
ti=linspace(0,5*taumax,400);
yi=K*A*(1-exp(-ti/tau));
plot(ti,yi,'g')
tau = 10;
ti=linspace(0,5*taumax,400);
yi=K*A*(1-exp(-ti/tau));
plot(ti,yi,'k')
plot([-5 0],[0 0],'k')
plot([0 0],[0 A],'k')
plot([0 5*tau],[A A],'k')
v=[-2 5*tau -1 1.15*K*A];
axis(v)
text(15,2.5,'Input \itu\rm(\itt\rm) = 2, \itt \rm\geq 0','FontSize',11)
xlabel('\itt','FontSize',11)
ylabel('\ity\rm(\itt\rm)','FontSize',11)
text(15,6,'Increasing \tau','FontSize',11)
text(25,10.5,'\ity\rm(\infty) = \itK\cdot \itA \rm= 10','FontSize',11)
title('First Order System Step Response for \tau = 0.5, 2, 5 and 10','FontSize',11)
text(20,8.3,'\tau = 10','FontSize',11)
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