Interpreting a transfer function response
Hey, I'm just starting out in linear control theory and was wondering if anyone here might give me a hand in seeing the physics in some of the basics.
Say, for example, that I have a really simple system with transfer function
H(s) = 1/s^2,
s being the Laplace variable, and that I feed it an impulse input using the deltafunction. Simply calculating the response is easy enough; it's simply
y(t) = t,
t being time in this case. Plugging it into Matlab confirms it, so at least I feel that I'm on fairly solid ground just working the mechanics of it. But from my understanding, giving something an impulse input is really just giving it a sharp kick and I don't really see how that mesh with a response that keeps on growing?
