Tau variable in control systems



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Topic: Science > Physics
User: ""
Date: 30 Apr 2006 06:44:46 AM
Object: Tau variable in control systems
I stumbled upon the tau variable while studying control systems. I
found it first on the convolution integral describing the system
(Integral) w(t-tau) dtau
and then, on the same book, tau is called the "time constant" of the
system. I know what a time constant is. What I don't understand is how
can we integrate by a constant.
I guess the two tau's don't have anything to do with each other and the
author jsut made a not-so-wise decision to use tau for both. Am I right?
.

User: "Greg Hansen"

Title: Re: Tau variable in control systems 30 Apr 2006 09:40:02 AM
wrote:

I stumbled upon the tau variable while studying control systems. I
found it first on the convolution integral describing the system

(Integral) w(t-tau) dtau

and then, on the same book, tau is called the "time constant" of the
system. I know what a time constant is. What I don't understand is how
can we integrate by a constant.

I guess the two tau's don't have anything to do with each other and the
author jsut made a not-so-wise decision to use tau for both. Am I right?

Two different things, but both uses are common conventions. As long as
you can tell from the context which is which, it shouldn't be too
confusing. But you might want to use s for your Laplace tranforms and
use tau for time constants since you probably want to save t for your
x(t), etc.
Now, how about the definition of k in physics?
.


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