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## Copyright (C) 1996 John W. Eaton
##
## This file is part of Octave.
##
## Octave is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
##
## Octave is distributed in the hope that it will be useful, but
## WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
## General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with Octave; see the file COPYING. If not, write to the Free
## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
## 02111-1307, USA.
## Usage: zr = tzero (a, b, c, d, bal)
##
## Compute the transmission zeros of a, b, c, d.
##
## bal = balancing option (see balance); default is "B".
##
## Needs to incorporate mvzero algorithm to isolate finite zeros.
## Author: A. S. Hodel <scotte@eng.auburn.edu>
## Created: August 1993
## Adapted-By: jwe
function zr = tzero (a, b, c, d, bal)
if (nargin == 4)
bal = "B";
elseif (nargin != 5)
error ("tzero: invalid number of arguments");
endif
[n, m, p] = abcddim (a, b, c, d);
if (n > 0 && m > 0 && p > 0)
if (m != p)
warning ("tzero: number of inputs,outputs differ. squaring up");
if (p > m)
warning (" by padding b and d with zeros.");
b = [b, (zeros (n, p-m))];
d = [d, (zeros (p, p-m))];
m = p;
else
warning (" by padding c and d with zeros.");
c = [c; (zeros (m-p, n))];
d = [d; (zeros (m-p, m))];
p = m;
endif
warning ("This is a kludge. Try again with SISO system.");
endif
ab = [-a, -b; c, d];
bb = [(eye (n)), (zeros (n, m)); (zeros (p, n)), (zeros (p, m))];
[ab, bb] = balance (ab, bb);
zr = -qzval (ab, bb);
else
error ("tzero: a, b, c, d not compatible");
endif
endfunction
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