How do I plot this piecewise function WITHOUT using any LOGIC operators?

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Seth Meris
Seth Meris 2015-2-8
回答： Star Strider 2015-2-8
Hello, I am having trouble plotting this piecewise function:
I do not know what I'm doing wrong. If someone can help me out, I would really appreciate it. Here is my code.
t=[-5:75/99:70];
for i=1:length(t)
if t(i)>=0
V(i)=10*((t(i))^2)-0.5*t(i);
elseif t(i)<8
V(i)=10*((t(i))^2)-0.5*t(i);
elseif t(i)>=8
V(i)=676-5*t(i);
elseif t(i)<16
V(i)=676-5*t(i);
elseif t(i)>=16
V(i)=20+36*t(i)+12*((t(i)-16)^2);
elseif t(i)<26
V(i)=20+36*t(i)+12*((t(i)-16)^2);
elseif t(i)>=26
V(i)=2156*exp(-.1*(t(i)-26));
else
V(i)=0;
end
end
plot(t,V)
Here is what my output is:
And this is what it is supposed to look like:

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回答（1 个）

Star Strider
Star Strider 2015-2-8
I can’t imagine doing it without logic statements, but with that caveat, this is how I would do it:
v = @(t) [(10*t.^2-0.5*t).*((0<=t) & (t<8)) + (676-5*t).*((8<=t) & (t<16)) + (20+36*t+12*(t-16).^2).*((16<=t) & (t<26)) + (2156*exp(-0.1*(t-26))).*(t>=26)];
t=[-5:75/99:70];
vt = v(t);
figure(1)
plot(t, vt)
grid

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