Mercurial > hg > octave-nkf

annotate scripts/control/system/is_observable.m @ 4821:22f024a25c4a

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
[project @ 2004-03-05 16:19:11 by jwe]
author jwe
date Fri, 05 Mar 2004 16:19:11 +0000
parents 22bd65326ec1
children d62c421f448b
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
3441
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
1 ## Copyright (C) 1993, 1994, 1995 Auburn University. All rights reserved.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
2 ##
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
3 ## This file is part of Octave.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
4 ##
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
6 ## under the terms of the GNU General Public License as published by the
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
7 ## Free Software Foundation; either version 2, or (at your option) any
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
8 ## later version.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
9 ##
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
10 ## Octave is distributed in the hope that it will be useful, but WITHOUT
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
11 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
12 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
13 ## for more details.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
14 ##
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
15 ## You should have received a copy of the GNU General Public License
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
16 ## along with Octave; see the file COPYING. If not, write to the Free
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
17 ## Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
18
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
19 ## -*- texinfo -*-
3502
b5238ac1dca9 [project @ 2000-01-31 07:40:53 by jwe]
jwe
parents: 3500
diff changeset
20 ## @deftypefn {Function File} {[@var{retval}, @var{u}] =} is_observable (@var{a}, @var{c}, @var{tol})
b5238ac1dca9 [project @ 2000-01-31 07:40:53 by jwe]
jwe
parents: 3500
diff changeset
21 ## @deftypefnx {Function File} {[@var{retval}, @var{u}] =} is_observable (@var{sys}, @var{tol})
3441
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
22 ## Logical check for system observability.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
23 ##
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
24 ## Default: tol = 10*norm(a,'fro')*eps
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
25 ##
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
26 ## Returns 1 if the system @var{sys} or the pair (@var{a},@var{c}) is
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
27 ## observable, 0 if not.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
28 ##
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
29 ## @strong{See} @code{is_controllable} for detailed description of arguments
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
30 ## and default values.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
31 ## @end deftypefn
4030
22bd65326ec1 [project @ 2002-08-09 18:58:13 by jwe]
jwe
parents: 3502
diff changeset
32 ## @seealso{size, rows, columns, length, ismatrix, isscalar, and isvector}
3441
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
33
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
34 ## Author: A. S. Hodel <a.s.hodel@eng.auburn.edu>
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
35 ## Created: August 1993
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
36 ## Updated by John Ingram (ingraje@eng.auburn.edu) July 1996.
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
37
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
38 function [retval, U] = is_observable (a, c, tol)
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
39
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
40 if( nargin < 1)
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
41 usage("[retval,U] = is_observable(a , c {, tol})");
4030
22bd65326ec1 [project @ 2002-08-09 18:58:13 by jwe]
jwe
parents: 3502
diff changeset
42 elseif(isstruct(a))
3441
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
43 ## system form
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
44 if(nargin == 2)
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
45 tol = c;
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
46 elseif(nargin > 2)
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
47 usage("[retval,U] = is_observable(sys {, tol})");
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
48 endif
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
49 [a,b,c] = sys2ss(a);
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
50 elseif(nargin > 3)
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
51 usage("[retval,U] = is_observable(a , c {, tol})");
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
52 endif
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
53 if(exist("tol"))
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
54 [retval,U] = is_controllable (a', c', tol);
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
55 else
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
56 [retval,U] = is_controllable (a', c');
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
57 endif
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
58
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
59 endfunction
36ae9880c594 [project @ 2000-01-14 22:03:32 by jwe]
jwe
parents:
diff changeset
60