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c2d output Interpretation


From: Nicholas Oleksinski
Subject: c2d output Interpretation
Date: Mon, 20 Feb 2017 12:00:22 -0500
User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:45.0) Gecko/20100101 Thunderbird/45.7.0

Hi:
I am trying to design a digital phase lead compensator using the c2d function in the Octave 4.0.0 control package.
The output of the b & a coefficients I fed in looks like this:
      7.474 z^2 - 14.29 z + 6.829
 y1:  ---------------------------
         z^2 - 1.52 z + 0.5772

I noticed a couple things about this output:

1) The powers of the 'a' coefficients start positive.  Does that not make this system non-causal?

2) Why is this discrete time LTI model represented as "y1" and not "H(z)"?  I fed in the coefficients of H(s) by running c2d this way:

  comp_tf = tf(gain*numc,denc); %create the s domain LTI transfer function
  comp_tf_d = c2d(comp_tf,0.001); % sample at 1kHz

Thanks


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