annotate scripts/control/system/zp.m @ 5307:4c8a2e4e0717

[project @ 2005-04-26 19:24:27 by jwe]
author jwe
date Tue, 26 Apr 2005 19:24:47 +0000
parents f105000ab25c
children 34f96dd5441b
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
4779
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
1 ## Copyright (C) 1996, 1998 Auburn University. All rights reserved.
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
2 ##
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
3 ## This file is part of Octave.
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
4 ##
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
6 ## under the terms of the GNU General Public License as published by the
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
7 ## Free Software Foundation; either version 2, or (at your option) any
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
8 ## later version.
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
9 ##
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
10 ## Octave is distributed in the hope that it will be useful, but WITHOUT
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
11 ## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
12 ## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
13 ## for more details.
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
14 ##
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
15 ## You should have received a copy of the GNU General Public License
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
16 ## along with Octave; see the file COPYING. If not, write to the Free
5307
4c8a2e4e0717 [project @ 2005-04-26 19:24:27 by jwe]
jwe
parents: 4779
diff changeset
17 ## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
4c8a2e4e0717 [project @ 2005-04-26 19:24:27 by jwe]
jwe
parents: 4779
diff changeset
18 ## 02110-1301 USA.
4779
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
19
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
20 ## -*- texinfo -*-
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
21 ## @deftypefn {Function File} {} zp (@var{zer}, @var{pol}, @var{k}, @var{tsam}, @var{inname}, @var{outname})
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
22 ## Create system data structure from zero-pole data.
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
23 ##
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
24 ## @strong{Inputs}
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
25 ## @table @var
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
26 ## @item zer
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
27 ## vector of system zeros
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
28 ## @item pol
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
29 ## vector of system poles
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
30 ## @item k
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
31 ## scalar leading coefficient
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
32 ## @item tsam
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
33 ## sampling period. default: 0 (continuous system)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
34 ## @item inname
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
35 ## @itemx outname
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
36 ## input/output signal names (lists of strings)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
37 ## @end table
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
38 ##
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
39 ## @strong{Outputs}
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
40 ## sys: system data structure
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
41 ##
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
42 ## @strong{Example}
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
43 ## @example
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
44 ## octave:1> sys=zp([1 -1],[-2 -2 0],1);
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
45 ## octave:2> sysout(sys)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
46 ## Input(s)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
47 ## 1: u_1
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
48 ## Output(s):
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
49 ## 1: y_1
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
50 ## zero-pole form:
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
51 ## 1 (s - 1) (s + 1)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
52 ## -----------------
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
53 ## s (s + 2) (s + 2)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
54 ## @end example
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
55 ## @end deftypefn
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
56
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
57 ## Modified by John Ingram July 20, 1996
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
58
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
59 function outsys = zp (zer, pol, k, tsam, inname, outname)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
60
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
61 ## Test for the correct number of input arguments
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
62 if ((nargin < 3) || (nargin > 6))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
63 usage("outsys = zp(zer,pol,k[,tsam,inname,outname])");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
64 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
65
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
66 ## check input format
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
67 if( ! (isvector(zer) | isempty(zer) ) )
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
68 error("zer must be a vector or empty");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
69 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
70 if(!isempty(zer))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
71 zer = reshape(zer,1,length(zer)); # make it a row vector
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
72 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
73
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
74 if( ! (isvector(pol) | isempty(pol)))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
75 error("pol must be a vector");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
76 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
77 if(!isempty(pol))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
78 pol = reshape(pol,1,length(pol));
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
79 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
80
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
81 if (! isscalar(k))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
82 error("k must be a scalar");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
83 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
84
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
85 ## Test proper numbers of poles and zeros. The number of poles must be
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
86 ## greater than or equal to the number of zeros.
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
87 if (length(zer) > length(pol))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
88 error(["number of poles (", num2str(length(pol)), ...
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
89 ") < number of zeros (", num2str(length(zer)),")"]);
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
90 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
91
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
92 ## Set the system transfer function
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
93 outsys.zer = zer;
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
94 outsys.pol = pol;
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
95 outsys.k = k;
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
96
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
97 ## Set the system vector: active = 1, updated = [0 1 0];
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
98 outsys.sys = [1, 0, 1, 0];
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
99
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
100 ## Set defaults
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
101 outsys.tsam = 0;
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
102 outsys.n = length(pol);
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
103 outsys.nz = 0;
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
104 outsys.yd = 0; # assume (for now) continuous time outputs
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
105
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
106 ## Set the type of system
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
107 if (nargin > 3)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
108 if( !isscalar(tsam) )
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
109 error("tsam must be a nonnegative scalar");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
110 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
111 if (tsam < 0)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
112 error("sampling time must be positve")
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
113 elseif (tsam > 0)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
114 [outsys.n,outsys.nz] = swap(outsys.n, outsys.nz);
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
115 outsys.yd = 1; # discrete-time output
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
116 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
117
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
118 outsys.tsam = tsam;
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
119 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
120
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
121 outsys.inname = __sysdefioname__ (1, "u");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
122 outsys.outname = __sysdefioname__ (1, "y");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
123 outsys.stname = __sysdefstname__ (outsys.n, outsys.nz);
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
124
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
125 ## Set name of input
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
126 if (nargin > 4)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
127 ## make sure its a string
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
128 if(!isempty(inname))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
129 if(!iscell(inname))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
130 inname = {inname};
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
131 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
132 if(!is_signal_list(inname))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
133 error("inname must be a single signal name");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
134 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
135 outsys.inname = inname(1);
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
136 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
137 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
138
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
139 ## Set name of output
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
140 if (nargin > 5)
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
141 if(!isempty(outname))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
142 if(!iscell(outname))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
143 outname = {outname};
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
144 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
145 if(!is_signal_list(outname))
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
146 error("outname must be a single signal name");
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
147 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
148 outsys.outname = outname(1);
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
149 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
150 endif
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
151
f105000ab25c [project @ 2004-02-17 02:34:33 by jwe]
jwe
parents:
diff changeset
152 endfunction