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What does this function do ??

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Vauxdvihl

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Controller Function

Can somebody please help me ??

What is that for a controller-function ??

x(n) = 7/8*x(n-1)+1/8*y


Thank you


Regards
 

HI..Vauxdvihl

Please clarify your question. I understand that you want to know what this function does?? A simple manipulation shows that

y(n) = 8*x(n) - 7*x(n-1)

if y(n) is an output sequence and x(n) is an input sequence, then this equation (model) is just a simple autoregressive model. Or you can think of it as the difference between weighted input sequence at present time, x(n) and one-step delayed input sequence, x(n-1).

That's my two cents,... any other ideas
 

y(n) = 8*x(n) - 7*x(n-1)

y(n) = (xn - a* xn-1) / b

a = 7/8 =~1
b = 8


y(n) ~= (xn - xn-1) / b


y= d/dt f(t) => yn= (xn-xn-1)/ DT


approximately derivation function.
 

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