annotate scripts/control/base/tzero2.m @ 5016:bdbee5282954

[project @ 2004-09-22 02:50:35 by jwe]
author jwe
date Wed, 22 Sep 2004 02:50:36 +0000
parents 7923abdeb4e5
children 4c8a2e4e0717
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
3432
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
1 ## Copyright (C) 1993 Auburn University. All rights reserved.
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
2 ##
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
3 ## This file is part of Octave.
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
4 ##
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
6 ## under the terms of the GNU General Public License as published by the
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
7 ## Free Software Foundation; either version 2, or (at your option) any
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
8 ## later version.
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
9 ##
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
10 ## Octave is distributed in the hope that it will be useful, but WITHOUT
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
11 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
12 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
13 ## for more details.
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
14 ##
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
15 ## You should have received a copy of the GNU General Public License
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
16 ## along with Octave; see the file COPYING. If not, write to the Free
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
17 ## Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA.
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
18
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
19 ## -*- texinfo -*-
5016
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe]
jwe
parents: 3500
diff changeset
20 ## @deftypefn {Function File} {@var{zr} =} tzero2 (@var{a}, @var{b}, @var{c}, @var{d}, @var{bal})
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe]
jwe
parents: 3500
diff changeset
21 ## Compute the transmission zeros of @var{a}, @var{b}, @var{c}, @var{d}.
3432
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
22 ##
5016
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe]
jwe
parents: 3500
diff changeset
23 ## @var{bal} = balancing option (see balance); default is @code{"B"}.
3432
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
24 ##
5016
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe]
jwe
parents: 3500
diff changeset
25 ## Needs to incorporate @command{mvzero} algorithm to isolate finite zeros;
bdbee5282954 [project @ 2004-09-22 02:50:35 by jwe]
jwe
parents: 3500
diff changeset
26 ## use @command{tzero} instead.
3432
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
27 ## @end deftypefn
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
28
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
29 ## Author: A. S. Hodel <a.s.hodel@eng.auburn.edu>
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
30 ## Created: August 1993
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
31
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
32 function zr = tzero2 (a, b, c, d, bal)
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
33
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
34 if (nargin == 4)
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
35 bal = "B";
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
36 elseif (nargin != 5)
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
37 error ("tzero: invalid number of arguments");
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
38 endif
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
39
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
40 [n, m, p] = abcddim (a, b, c, d);
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
41
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
42 if (n > 0 && m > 0 && p > 0)
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
43 if (m != p)
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
44 fprintf (stderr, "tzero: number of inputs,outputs differ. squaring up");
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
45 if (p > m)
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
46 fprintf (stderr, " by padding b and d with zeros.");
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
47 b = [b, (zeros (n, p-m))];
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
48 d = [d, (zeros (p, p-m))];
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
49 m = p;
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
50 else
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
51 fprintf (stderr, " by padding c and d with zeros.");
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
52 c = [c; (zeros (m-p, n))];
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
53 d = [d; (zeros (m-p, m))];
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
54 p = m;
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
55 endif
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
56 fprintf (stderr, "This is a kludge. Try again with SISO system.");
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
57 endif
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
58 ab = [-a, -b; c, d];
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
59 bb = [(eye (n)), (zeros (n, m)); (zeros (p, n)), (zeros (p, m))];
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
60 [ab,bb] = balance (ab, bb);
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
61 zr = -qz (ab, bb);
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
62 else
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
63 error ("tzero: a, b, c, d not compatible. exiting");
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
64 endif
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
65
e39d90787668 [project @ 2000-01-14 04:22:59 by jwe]
jwe
parents:
diff changeset
66 endfunction