Laplace to Z transform for second order lag.

"Gary Schnabl" <LivernoisYards@comcast.net> wrote in message
news:hdadnQpodPAgYDrdRVn-gg@comcast.com...
> Might you be from Milwaukee?
>
> Gary
>
> "Peter Nachtwey" <pnachtwey@comcast.net> wrote in message
> news:-YadnbZb-erSfDrd4p2dnA@comcast.com...
> > I have a very good control book with Laplace to z transform tables
called
> > "Digital Control System Analysis and Design" by Charles L Phillips and
H.
> > Troy Nagle.   Another book I have with about the same table is "Control
> > Strategies for Dynamic Systems" by John H Lumkes who as a professor at
> MSOE.
>
>
No,  I got the book and went to one of John Lumkes' seminars at a IPFE show
in Las Vegas.  I have visited Milwaukee twice.

Peter Nachtwey

I was born and educated there. Your surname is German-enough (night way?) to
be from Milwaukee.

Gary

"Peter Nachtwey" <pnachtwey@comcast.net> wrote in message
news:_42dnSiyB_KcnDXdRVn-sw@comcast.com...
> No,  I got the book and went to one of John Lumkes' seminars at a IPFE
show
> in Las Vegas.  I have visited Milwaukee twice.
>
> Peter Nachtwey

>Peter Nachtwey wrote:
>
>
>For a plant who's transfer function is T(s) = a/(s+a) you get:
>
>T_z(s) = (1-e^{T s})/s * a/(s+a).
>
>Do the partial-fraction expansion on this to get:
>
>T_z(s) = (1-e^{-T*s}) * (a/s - a/(s+a)).
>

Many many years later - 

Most likely a typo. The partial fraction expansion should be:

T_z(s) = (1-e^{-T*s}) * (1/s - 1/(s+a)).

	 

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