Could someone explain the meaning of this step function for me
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Hi, I have obtained a code for simulating car suspension system using a LTI system x' = Ax + Bu, y = Cx+Du
m1 = 10;
m2 = 350;
kw = 500000;
ks = 10000;
Bb = [1000, 2000, 3000, 4000];
t = 0:0.1:2;
for i = 1:4
b = Bb(i);
A = [0 1 0 0; -(ks/m1+kw/m1) -b/m1 ks/m1 b/m1; 0 0 0 1; ks/m2 b/m2 -ks/m2 -b/m2];
B = [ 0; kw/m1; 0; 0];
C = [1 0 0 0; 0 0 1 0];
D = 0;
y = step(A,B,C,D,1,t); %Why is 1,t added?
subplot(2,2,i);
plot(t,y(:,1), ':', t, y(:,2), '-');
legend('Wheel', 'Car');
ttl = sprintf('Response with b = %4.1f' ,b);
title(ttl);
end
Can someone quickly explain to me why the step function is written in the way it is? Especially the part about the inclusion of 1 and t indices.
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Azzi Abdelmalek
2012-9-16
编辑:Azzi Abdelmalek
2012-9-16
y = step(A,B,C,D,iu,t)
If your system has more then one imput, you can specify which one will be the step function, the others will be nuls.
In our case there is one input, then iu=1
t is a time vector
if you use
model=ss(A,B,C,D)
y = step(model,t); %t is time vector
you will have the step response to the first input stored in y(:,:,1) and the responses to the second input in y(:,:,2)
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