XaviPacheco
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- Joined
- Feb 28, 2018
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The rectangular rules for numerical integration are illustred in Figure P2-15. The left side rule is despicted in Figure P2-15a, and the right side rule is despicted in Figure P2-15b. The integral of x(t) is approximated by the sum of the rectangular areas shown for each rule. Let y(kT) be the numerical integral x(t), 0<=t<=kT.
Write de difference equation relating y(k+1), y(k), and x(k) for the left side.
Write de difference equation relating y(k+1), y(k), and x(k+1) for the right side.
I know that the answers are:
a) For the left side:
y(k+1) = y(k) +Tx(k)
a) For the right side:
y(k+1) = y(k) +Tx(k+1)
I really don't understand clearly why is it. I'm reading about left and right side rules, but when it comes to do this exercise, I find it confused. Can anyone explain it to me in simple words?
Write de difference equation relating y(k+1), y(k), and x(k) for the left side.
Write de difference equation relating y(k+1), y(k), and x(k+1) for the right side.
I know that the answers are:
a) For the left side:
y(k+1) = y(k) +Tx(k)
a) For the right side:
y(k+1) = y(k) +Tx(k+1)
I really don't understand clearly why is it. I'm reading about left and right side rules, but when it comes to do this exercise, I find it confused. Can anyone explain it to me in simple words?