K
Ken Smith
Guest
In article <41a1d879$0$78772$e4fe514c@news.xs4all.nl>,
Frank Bemelman <f.bemelmanx@xs4all.invalid.nl> wrote:
[...]
You can repressent linear systems as the "Laplace transform" of the
"transfer function"
Transfer function: If you divide the output by the input, treating gain
and phase shift and magnetude and angle of complex numbers, you get the
"transfer function" F(S). You can think of "S" as a generalized form of
frequency that includes exponential growth/decay.
Transfer functions can look something like this:
(AS+1)
-------
(BS+1)
The (AS+1) part defines a zero. If you make S just the right value it
comes out to zero.
The (BS+1) part defines a pole. If you dare to put just the right value
into S, your calculator will talk in higher and higher pitched voice and
then explode. The firemen will have to slide down their "pole", jump in
the fire truck and put the fire out.
When a system is a closed loop, G(S) is usually used for the gain going
through it and H(S) is used for the gain of the feedback. The gain with
the loop closed is:
G(S)
---------------
1 + G(S)H(S)
That 1+ bit in the denominator can mean that the poles in the whole system
are in a different place than in either G(S) or H(S).
--
--
kensmith@rahul.net forging knowledge
Frank Bemelman <f.bemelmanx@xs4all.invalid.nl> wrote:
[...]
BTW, what are 'poles' and 'zeros'? I tried to find an
explanation of the meaning (in context of amplifiers etc),
but I can't seem to find any. All texts seem to assume
it is known to the reader. (blush).
You can repressent linear systems as the "Laplace transform" of the
"transfer function"
Transfer function: If you divide the output by the input, treating gain
and phase shift and magnetude and angle of complex numbers, you get the
"transfer function" F(S). You can think of "S" as a generalized form of
frequency that includes exponential growth/decay.
Transfer functions can look something like this:
(AS+1)
-------
(BS+1)
The (AS+1) part defines a zero. If you make S just the right value it
comes out to zero.
The (BS+1) part defines a pole. If you dare to put just the right value
into S, your calculator will talk in higher and higher pitched voice and
then explode. The firemen will have to slide down their "pole", jump in
the fire truck and put the fire out.
When a system is a closed loop, G(S) is usually used for the gain going
through it and H(S) is used for the gain of the feedback. The gain with
the loop closed is:
G(S)
---------------
1 + G(S)H(S)
That 1+ bit in the denominator can mean that the poles in the whole system
are in a different place than in either G(S) or H(S).
--
--
kensmith@rahul.net forging knowledge