Add a useful package (from Source forge) for octave

[CreaPhase.git] / octave_packages / control-2.3.52 / @frd / __sys_connect__.m

diff --git a/octave_packages/control-2.3.52/@frd/__sys_connect__.m b/octave_packages/control-2.3.52/@frd/__sys_connect__.m
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+## Copyright (C) 2010   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 -*-
+## @deftypefn {Function File} {@var{retsys} =} __sys_connect__ (@var{sys}, @var{M})
+## This function is part of the Model Abstraction Layer.  No argument checking.
+## For internal use only.
+## @example
+## @group
+## Problem: Solve the system equations of
+## Y(s) = G(s) E(s)
+## E(s) = U(s) + M Y(s)
+## in order to build
+## Y(s) = H(s) U(s)
+## Solution:
+## Y(s) = G(s) [U(s) + M Y(s)]
+## Y(s) = G(s) U(s) + G(s) M Y(s)
+## Y(s) = [I - G(s) M]^-1 G(s) U(s)
+##        \_______    _______/
+##                H(s)
+## @end group
+## @end example
+## @end deftypefn
+
+## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
+## Created: October 2010
+## Version: 0.1
+
+function sys = __sys_connect__ (sys, M)
+
+  [p, m, l] = size (sys.H);
+
+  I = eye (p);
+  H = mat2cell (sys.H, p, m, ones (1, l))(:);
+
+  H = cellfun (@(x) (I - x*M) \ x, H, "uniformoutput", false);
+
+  sys.H = cat (3, H{:});
+
+endfunction
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