annotate scripts/control/tzero2.m @ 3284:f7e4a95916f2

[project @ 1999-10-13 21:37:04 by jwe]
author jwe
date Wed, 13 Oct 1999 21:37:40 +0000
parents 6dd06d525de6
children 8dd4718801fd
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
3279
6dd06d525de6 [project @ 1999-10-12 16:52:40 by jwe]
jwe
parents: 3236
diff changeset
1 # Copyright (C) 1993 Auburn University. All Rights Reserved
3213
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
2 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
3 # This file is part of Octave.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
4 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
5 # Octave is free software; you can redistribute it and/or modify it
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
6 # under the terms of the GNU General Public License as published by the
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
7 # Free Software Foundation; either version 2, or (at your option) any
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
8 # later version.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
9 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
10 # Octave is distributed in the hope that it will be useful, but WITHOUT
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
11 # ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
12 # FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
13 # for more details.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
14 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
15 # You should have received a copy of the GNU General Public License
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
16 # along with Octave; see the file COPYING. If not, write to the Free
3284
f7e4a95916f2 [project @ 1999-10-13 21:37:04 by jwe]
jwe
parents: 3279
diff changeset
17 # Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA.
3213
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
18
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
19 function zr = tzero2 (a, b, c, d, bal)
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
20
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
21 # Usage: zr = tzero2 (a, b, c, d, bal)
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
22 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
23 # Compute the transmission zeros of a, b, c, d.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
24 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
25 # bal = balancing option (see balance); default is "B".
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
26 #
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
27 # Needs to incorporate mvzero algorithm to isolate finite zeros.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
28
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
29 # Written by A. S. Hodel (scotte@eng.auburn.edu) August 1993.
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
30
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
31 if (nargin == 4)
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
32 bal = "B";
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
33 elseif (nargin != 5)
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
34 error ("tzero: illegal number of arguments");
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
35 endif
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
36
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
37 [n, m, p] = abcddim (a, b, c, d);
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
38
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
39 if (n > 0 && m > 0 && p > 0)
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
40 if (m != p)
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
41 fprintf (stderr, "tzero: number of inputs,outputs differ. squaring up");
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
42 if (p > m)
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
43 fprintf (stderr, " by padding b and d with zeros.");
3279
6dd06d525de6 [project @ 1999-10-12 16:52:40 by jwe]
jwe
parents: 3236
diff changeset
44 b = [b, (zeros (n, p-m))];
6dd06d525de6 [project @ 1999-10-12 16:52:40 by jwe]
jwe
parents: 3236
diff changeset
45 d = [d, (zeros (p, p-m))];
3213
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
46 m = p;
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
47 else
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
48 fprintf (stderr, " by padding c and d with zeros.");
3279
6dd06d525de6 [project @ 1999-10-12 16:52:40 by jwe]
jwe
parents: 3236
diff changeset
49 c = [c; (zeros (m-p, n))];
6dd06d525de6 [project @ 1999-10-12 16:52:40 by jwe]
jwe
parents: 3236
diff changeset
50 d = [d; (zeros (m-p, m))];
3213
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
51 p = m;
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
52 endif
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
53 fprintf (stderr, "This is a kludge. Try again with SISO system.");
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
54 endif
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
55 ab = [-a, -b; c, d];
3279
6dd06d525de6 [project @ 1999-10-12 16:52:40 by jwe]
jwe
parents: 3236
diff changeset
56 bb = [(eye (n)), (zeros (n, m)); (zeros (p, n)), (zeros (p, m))];
3213
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
57 [ab,bb] = balance (ab, bb);
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
58 zr = -qz (ab, bb);
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
59 else
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
60 error ("tzero: a, b, c, d not compatible. exiting");
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
61 endif
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
62
ba1c7cdc6090 [project @ 1998-11-06 16:15:36 by jwe]
jwe
parents:
diff changeset
63 endfunction