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I have just started learning control theory at Uni, as part of my course, and I have to admit it is quite difficult to grasp.

I am starting from the basics, and I am having difficulty understanding what 's' is supposed to represent as regards the Laplace transform.

for example:

L{f(t)} = F(s)

Now to me these variables represent the following:

L - as in Laplace transform of a

f - function of

t - time

is equal to

F - Laplace function of

s - ??

I am slightly confusing it with Dynamics and Statics I think, where 's' refers to displacement. And so I am naming that as something I am aware of.

My guessing is that the 's' is referring to the s-plane as a complex plane, but still that is a difficult concept to grasp.

Can anyone give me some sort of analogy or point me at a resource that might be able to help a student understand this concept and it's relationship to the poles of a system.

Sorry for giving such a vague post, but I don't know how to narrow this down any more at the moment.

Kind regards

Rob

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# Control Theory

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