Add a useful package (from Source forge) for octave

[CreaPhase.git] / octave_packages / control-2.3.52 / @lti / plus.m

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+## Copyright (C) 2009, 2011   Lukas F. Reichlin
+##
+## This file is part of LTI Syncope.
+##
+## LTI Syncope 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 3 of the License, or
+## (at your option) any later version.
+##
+## LTI Syncope 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 LTI Syncope.  If not, see <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## Binary addition of LTI objects.  If necessary, object conversion
+## is done by sys_group.  Used by Octave for "sys1 + sys2".
+## Operation is also known as "parallel connection".
+
+## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
+## Created: September 2009
+## Version: 0.2
+
+function sys = plus (sys1, sys2)
+
+  if (nargin != 2)  # prevent sys = plus (sys1, sys2, sys3, ...)
+    error ("lti: plus: this is a binary operator");
+  endif
+
+  [p1, m1] = size (sys1);
+  [p2, m2] = size (sys2);
+
+  if (p1 != p2 || m1 != m2)
+    error ("lti: plus: system dimensions incompatible: (%dx%d) + (%dx%d)",
+            p1, m1, p2, m2);
+  endif
+
+  sys = __sys_group__ (sys1, sys2);
+
+  in_scl = [eye(m1); eye(m2)];
+  out_scl = [eye(p1), eye(p2)];
+
+  sys = out_scl * sys * in_scl;
+
+endfunction
+
+
+## Parallel inter-connection of two systems in state-space form
+## Test from SLICOT AB05PD
+%!shared M, Me
+%! A1 = [ 1.0   0.0  -1.0
+%!        0.0  -1.0   1.0
+%!        1.0   1.0   2.0 ];
+%!
+%! B1 = [ 1.0   1.0   0.0
+%!        2.0   0.0   1.0 ].';
+%!
+%! C1 = [ 3.0  -2.0   1.0
+%!        0.0   1.0   0.0 ];
+%!
+%! D1 = [ 1.0   0.0
+%!        0.0   1.0 ];
+%!
+%! A2 = [-3.0   0.0   0.0
+%!        1.0   0.0   1.0
+%!        0.0  -1.0   2.0 ];
+%!
+%! B2 = [ 0.0  -1.0   0.0
+%!        1.0   0.0   2.0 ].';
+%!
+%! C2 = [ 1.0   1.0   0.0
+%!        1.0   1.0  -1.0 ];
+%!
+%! D2 = [ 1.0   1.0
+%!        0.0   1.0 ];
+%!
+%! sys1 = ss (A1, B1, C1, D1);
+%! sys2 = ss (A2, B2, C2, D2);
+%! sys = sys1 + sys2;
+%! [A, B, C, D] = ssdata (sys);
+%! M = [A, B; C, D];
+%!
+%! Ae = [ 1.0000   0.0000  -1.0000   0.0000   0.0000   0.0000
+%!        0.0000  -1.0000   1.0000   0.0000   0.0000   0.0000
+%!        1.0000   1.0000   2.0000   0.0000   0.0000   0.0000
+%!        0.0000   0.0000   0.0000  -3.0000   0.0000   0.0000
+%!        0.0000   0.0000   0.0000   1.0000   0.0000   1.0000
+%!        0.0000   0.0000   0.0000   0.0000  -1.0000   2.0000 ];
+%!
+%! Be = [ 1.0000   2.0000
+%!        1.0000   0.0000
+%!        0.0000   1.0000
+%!        0.0000   1.0000
+%!       -1.0000   0.0000
+%!        0.0000   2.0000 ];
+%!
+%! Ce = [ 3.0000  -2.0000   1.0000   1.0000   1.0000   0.0000
+%!        0.0000   1.0000   0.0000   1.0000   1.0000  -1.0000 ];
+%!
+%! De = [ 2.0000   1.0000
+%!        0.0000   2.0000 ];
+%!
+%! Me = [Ae, Be; Ce, De];
+%!
+%!assert (M, Me, 1e-4);