1 ## Copyright (C) 2010 Lukas F. Reichlin
3 ## This file is part of LTI Syncope.
5 ## LTI Syncope is free software: you can redistribute it and/or modify
6 ## it under the terms of the GNU General Public License as published by
7 ## the Free Software Foundation, either version 3 of the License, or
8 ## (at your option) any later version.
10 ## LTI Syncope is distributed in the hope that it will be useful,
11 ## but WITHOUT ANY WARRANTY; without even the implied warranty of
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
13 ## GNU General Public License for more details.
15 ## You should have received a copy of the GNU General Public License
16 ## along with LTI Syncope. If not, see <http://www.gnu.org/licenses/>.
19 ## @deftypefn {Function File} {@var{retsys} =} __sys_connect__ (@var{sys}, @var{M})
20 ## This function is part of the Model Abstraction Layer. No argument checking.
21 ## For internal use only.
24 ## Problem: Solve the system equations of
26 ## E(s) = U(s) + M Y(s)
30 ## Y(s) = G(s) [U(s) + M Y(s)]
31 ## Y(s) = G(s) U(s) + G(s) M Y(s)
32 ## Y(s) = [I - G(s) M]^-1 G(s) U(s)
39 ## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
40 ## Created: October 2010
43 function sys = __sys_connect__ (sys, M)
45 [p, m, l] = size (sys.H);
48 H = mat2cell (sys.H, p, m, ones (1, l))(:);
50 H = cellfun (@(x) (I - x*M) \ x, H, "uniformoutput", false);
52 sys.H = cat (3, H{:});