Mercurial > hg > octave-nkf
diff scripts/control/system/abcddim.m @ 3431:99ab64f4a09d
[project @ 2000-01-14 03:53:03 by jwe]
author | jwe |
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date | Fri, 14 Jan 2000 04:12:41 +0000 |
parents | |
children | 2e06c3941943 |
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new file mode 100644 --- /dev/null +++ b/scripts/control/system/abcddim.m @@ -0,0 +1,129 @@ +## Copyright (C) 1993, 1994, 1995 Auburn University. All rights reserved. +## +## 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 USA. + +## -*- texinfo -*- +## @deftypefn {Function File} {[@var{n}, @var{m}, @var{p}] =} abcddim (@var{a}, @var{b}, @var{c}, @var{d}) +## Check for compatibility of the dimensions of the matrices defining +## the linear system +## @iftex +## @tex +## $[A, B, C, D]$ corresponding to +## $$ +## \eqalign{ +## {dx\over dt} &= A x + B u\cr +## y &= C x + D u} +## $$ +## @end tex +## @end iftex +## @ifinfo +## [A, B, C, D] corresponding to +## +## @example +## dx/dt = a x + b u +## y = c x + d u +## @end example +## +## @end ifinfo +## or a similar discrete-time system. +## +## If the matrices are compatibly dimensioned, then @code{abcddim} returns +## +## @table @var +## @item n +## The number of system states. +## +## @item m +## The number of system inputs. +## +## @item p +## The number of system outputs. +## @end table +## +## Otherwise @code{abcddim} returns @var{n} = @var{m} = @var{p} = @minus{}1. +## +## Note: n = 0 (pure gain block) is returned without warning. +## +## @end deftypefn +## @seealso{is_abcd} + +## Author: A. S. Hodel <a.s.hodel@eng.auburn.edu> +## Created: August 1993. +## a s hodel: modified to accept pure-gain systems aug 1996 + +function [n, m, p] = abcddim (a, b, c, d) + + if (nargin != 4) + error ("abcddim: four arguments required"); + endif + + n = m = p = -1; + + [a,an,am] = abcddims(a); + [b,bn,bm] = abcddims(b); + [c,cn,cm] = abcddims(c); + [d,dn,dm] = abcddims(d); + + if ( (!is_square(a)) & (!isempty(a)) ) + warning (["abcddim: a is not square (",num2str(an),"x",num2str(am),")"]); + return + endif + + if( (bm == 0) & (dm == 0) ) + warning("abcddim: no inputs"); + elseif (bn != am) + warning (["abcddim: a(",num2str(an),"x",num2str(am), ... + " and b(",num2str(bn),"x",num2str(bm),") are not compatible"]); + return + endif + + if( (cn == 0) & (dn == 0 ) ) + warning("abcddim: no outputs"); + elseif (cm != an) + warning (["abcddim: a(",num2str(an),"x",num2str(am), ... + " and c(",num2str(cn),"x",num2str(cm),") are not compatible"]); + return + endif + + have_connections = (bn*cn != 0); + + if( (dn == 0) & have_connections) + warning("abcddim: empty d matrix passed; setting compatibly with b, c"); + [d,dn,dm] = abcddims(zeros(cn,bm)); + endif + + if(an > 0) + [dn, dm] = size(d); + if ( (cn != dn) & have_connections ) + warning (["abcddim: c(",num2str(cn),"x",num2str(cm), ... + " and d(",num2str(dn),"x",num2str(dm),") are not compatible"]); + return + endif + + if ( (bm != dm) & have_connections ) + warning (["abcddim: b(",num2str(bn),"x",num2str(bm), ... + " and d(",num2str(dn),"x",num2str(dm),") are not compatible"]); + return + endif + + m = bm; + p = cn; + else + [p,m] = size(d); + endif + n = an; +endfunction