X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fcontrol-2.3.52%2F%40ss%2F__d2c__.m;fp=octave_packages%2Fcontrol-2.3.52%2F%40ss%2F__d2c__.m;h=b7365a9f74d83e141bbe485ce47155ead0330c08;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/control-2.3.52/@ss/__d2c__.m b/octave_packages/control-2.3.52/@ss/__d2c__.m new file mode 100644 index 0000000..b7365a9 --- /dev/null +++ b/octave_packages/control-2.3.52/@ss/__d2c__.m @@ -0,0 +1,54 @@ +## Copyright (C) 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 . + +## -*- texinfo -*- +## Convert the discrete SS model into its continuous-time equivalent. + +## Author: Lukas Reichlin +## Created: September 2011 +## Version: 0.2 + +function sys = __d2c__ (sys, tsam, method = "zoh", w0 = 0) + + switch (method(1)) + case {"z", "s"} # {"zoh", "std"} + [sys.a, sys.b, sys.c, sys.d, sys.e] = __dss2ss__ (sys.a, sys.b, sys.c, sys.d, sys.e); + [n, m] = size (sys.b); # n: states, m: inputs + tmp = logm ([sys.a, sys.b; zeros(m,n), eye(m)]) / tsam; + if (norm (imag (tmp), inf) > sqrt (eps)) + warning ("ss: d2c: possibly inaccurate results"); + endif + sys.a = real (tmp(1:n, 1:n)); + sys.b = real (tmp(1:n, n+1:n+m)); + + case {"t", "b", "p"} # {"tustin", "bilin", "prewarp"} + if (method(1) == "p") # prewarping + beta = w0 / tan (w0*tsam/2); + else + beta = 2/tsam; + endif + if (isempty (sys.e)) + [sys.a, sys.b, sys.c, sys.d] = slab04md (sys.a, sys.b, sys.c, sys.d, 1, beta, true); + else + [sys.a, sys.b, sys.c, sys.d, sys.e] = __dss_bilin__ (sys.a, sys.b, sys.c, sys.d, sys.e, beta, true); + endif + + otherwise + error ("ss: d2c: %s is an invalid or missing method", method); + endswitch + +endfunction