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Finding Impulse Transfer Function with Impulse Invariant Method |
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| May27-12, 04:44 AM | #1 |
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Finding Impulse Transfer Function with Impulse Invariant Method
1. The problem statement, all variables and given/known data
Transfer functions of the continuous compensation links are given as follows. Find the impulse transfer functions of the digital compensation links using the impulse invariant method. [itex]\frac{a}{s+a}[/itex] I don't know how to solve the problem correctly  2. Relevant equations D(z)=Z[D(s)] 3. The attempt at a solution d(t) = ae-at D(z)=[itex]\frac{az}{z-e^(-at)}[/itex] |
| May27-12, 07:13 AM | #2 |
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The idea behidn impulse invariant method is to compute a discrete impulse response, h[n], from the continuous impulse response, h(t), by sampling h(t) every T units of time.
[tex]h[n] = Th(Tn)[/tex] The discrete impulse response is the z-transform of this quantity. It's troubling that the problem statement doesn't give you a sampling time. I suppose you will have to keep it symbolic as T. |
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