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Thread Subject:
MODIFIED Z-transform

Subject: MODIFIED Z-transform

From: Thiago Rezende

Date: 10 Jan, 2004 14:29:30

Message: 1 of 3

Hi,

I'd like to know if there is a MatLab function that finds the
modified z-transform, that is used in systems with time delays...
This time delay is not an integer !!!
Or, if someone has a function that solves it :-)

For example, I want to transform from
s-plan to the z-plan the following system using a MatLab function:

G(s)= 0.73 * e^(-1.66*s)
      -----------------------
      (8.42*s + 1)(0.47*s + 1)


G(z)= ???

Thanks in advance,

Thiago

Subject: MODIFIED Z-transform

From: Eric Sender

Date: 1 Jun, 2010 08:13:04

Message: 2 of 3

"Thiago Rezende" <thor_ufmg@yahoo.com.br> wrote in message <eecdc3a.-1@webx.raydaftYaTP>...
> Hi,
>
> I'd like to know if there is a MatLab function that finds the
> modified z-transform, that is used in systems with time delays...
> This time delay is not an integer !!!
> Or, if someone has a function that solves it :-)
>
> For example, I want to transform from
> s-plan to the z-plan the following system using a MatLab function:
>
> G(s)= 0.73 * e^(-1.66*s)
> -----------------------
> (8.42*s + 1)(0.47*s + 1)
>
>
> G(z)= ???
>
> Thanks in advance,
>
> Thiago

Has there been a modified z-transform function written for matlab yet?

Subject: MODIFIED Z-transform

From: David Wilson

Date: 1 Jun, 2010 09:04:05

Message: 3 of 3

"Eric Sender" <esender99@removethisgmail.com> wrote in message <hu2feg$nif$1@fred.mathworks.com>...
> "Thiago Rezende" <thor_ufmg@yahoo.com.br> wrote in message <eecdc3a.-1@webx.raydaftYaTP>...
> > Hi,
> >
> > I'd like to know if there is a MatLab function that finds the
> > modified z-transform, that is used in systems with time delays...
> > This time delay is not an integer !!!
> > Or, if someone has a function that solves it :-)
> >
> > For example, I want to transform from
> > s-plan to the z-plan the following system using a MatLab function:
> >
> > G(s)= 0.73 * e^(-1.66*s)
> > -----------------------
> > (8.42*s + 1)(0.47*s + 1)
> >
> >
> > G(z)= ???
> >
> > Thanks in advance,
> >
> > Thiago
>
> Has there been a modified z-transform function written for matlab yet?

c2d from the control toolbox.

>> G = tf(0.73,conv([8.42 1],[0.47 1]),'iodelay',1.66)
 
Transfer function:
                        0.73
exp(-1.66*s) * ----------------------
               3.957 s^2 + 8.89 s + 1
 
>> c2d(G,1)
 
Transfer function:
         0.008376 z^2 + 0.05628 z + 0.007358
z^(-2) * -----------------------------------
               z^2 - 1.007 z + 0.1058
 
Sampling time: 1

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