1 ## Copyright (C) 2009, 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 ## Minimal realization of SS models. The physical meaning of states is lost.
20 ## Uses SLICOT TB01PD and TG01JD by courtesy of
21 ## @uref{http://www.slicot.org, NICONET e.V.}
23 ## Author: Lukas Reichlin <lukas.reichlin@gmail.com>
24 ## Created: October 2009
27 function retsys = __minreal__ (sys, tol)
32 error ("ss: minreal: require tol <= 1");
36 [a, b, c] = sltb01pd (sys.a, sys.b, sys.c, tol, sys.scaled);
37 retsys = ss (a, b, c, sys.d);
39 [a, e, b, c] = sltg01jd (sys.a, sys.e, sys.b, sys.c, tol, sys.scaled, 0, 0);
40 retsys = dss (a, b, c, sys.d, e);
43 retsys.lti = sys.lti; # retain i/o names and tsam