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Article #1707Re: Best z-trans. for CONTROL SYSTEMS?
From: James Vasil
Date: Mon, 22 Apr 1991 23:09
Date: Mon, 22 Apr 1991 23:09
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> What transformation is best for converting a transfer function in a CONTROL
> SYSTEM to the z-domain? Right now I'm using the bilinear-z transform and
> I'm converting a system that MATLAB says is stable, but when I actually
> implement the system on a DSP board, it is unstable. Any help would be
> greatly appreciated!
The bilinear-z transform (or the related, pre-warped bilinear) is
generally considered a good tranform to use when you are interested
in preserving the frequency domain charicteristics of your analog
filter. Since the theory says that the bilinear transform of a stable
filter is a stable filter, I'd suggest you look into some of the
implementation details. Some ideas to consider: is the transformation
being done correctly? Is the analog filter really stable? When the
filter coeficients are rounded, is this done in such a way so as to
keep poles inside the unit circle? And so on.
Regards & good luck,
James Vasil
Disclaimer: as always, these opinions are mine and not necessarily
those of my employer.
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Path: arc1-ca.pugleaf.net!utzoo!utgpu!news-server.csri.toronto.edu!rpi!dali.cs.montana.edu!uakari.primate.wisc.edu!sdd.hp.com!hp-pcd!hplsla!jamesv From: jamesv@hplsla.HP.COM (James Vasil) Newsgroups: comp.dsp Subject: Re: Best z-trans. for CONTROL SYSTEMS? Message-ID: <9360025@hplsla.HP.COM> Date: 22 Apr 91 23:09:06 GMT References: <1991Apr18.160222.21961@uservx.afwl.af.mil> Organization: HP Lake Stevens, WA Lines: 21