X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fcontrol-2.3.52%2F%40lti%2Fd2c.m;fp=octave_packages%2Fcontrol-2.3.52%2F%40lti%2Fd2c.m;h=63a165c3a4fc53703518085d8b01d2388b231669;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/control-2.3.52/@lti/d2c.m b/octave_packages/control-2.3.52/@lti/d2c.m new file mode 100644 index 0000000..63a165c --- /dev/null +++ b/octave_packages/control-2.3.52/@lti/d2c.m @@ -0,0 +1,146 @@ +## 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 -*- +## @deftypefn {Function File} {@var{sys} =} d2c (@var{sys}) +## @deftypefnx {Function File} {@var{sys} =} d2c (@var{sys}, @var{method}) +## @deftypefnx {Function File} {@var{sys} =} d2c (@var{sys}, @var{"prewarp"}, @var{w0}) +## Convert the discrete lti model into its continuous-time equivalent. +## +## @strong{Inputs} +## @table @var +## @item sys +## Discrete-time LTI model. +## @item method +## Optional conversion method. If not specified, default method @var{"zoh"} +## is taken. +## @table @var +## @item "zoh" +## Zero-order hold or matrix logarithm. +## @item "tustin", "bilin" +## Bilinear transformation or Tustin approximation. +## @item "prewarp" +## Bilinear transformation with pre-warping at frequency @var{w0}. +## @end table +## @end table +## +## @strong{Outputs} +## @table @var +## @item sys +## Continuous-time LTI model. +## @end table +## @end deftypefn + +## Author: Lukas Reichlin +## Created: September 2011 +## Version: 0.2 + +function sys = d2c (sys, method = "std", w0 = 0) + + if (nargin == 0 || nargin > 3) + print_usage (); + endif + + if (! isa (sys, "lti")) + error ("d2c: first argument is not an lti model"); + endif + + if (isct (sys)) + error ("d2c: system is already continuous-time"); + endif + + if (! ischar (method)) + error ("d2c: second argument is not a string"); + endif + + if (! issample (w0, 0)) + error ("d2c: third argument is not a valid pre-warping frequency"); + endif + + sys = __d2c__ (sys, sys.tsam, lower (method), w0); + sys.tsam = 0; + +endfunction + + +## bilinear transformation +## both directions +%!shared Mo, Me +%! A = [ 1.0 0.5 +%! 0.5 1.0 ]; +%! +%! B = [ 0.0 -1.0 +%! 1.0 0.0 ]; +%! +%! C = [ -1.0 0.0 +%! 0.0 1.0 ]; +%! +%! D = [ 1.0 0.0 +%! 0.0 -1.0 ]; +%! +%! [Ao, Bo, Co, Do] = ssdata (d2c (c2d (ss (A, B, C, D), 2, "tustin"), "tustin")); +%! +%! Mo = [Ao, Bo; Co, Do]; +%! Me = [A, B; C, D]; +%! +%!assert (Mo, Me, 1e-4); + + +## zero-order hold +## both directions +%!shared Mo, Me +%! A = [ 1.0 0.5 +%! 0.5 1.0 ]; +%! +%! B = [ 0.0 -1.0 +%! 1.0 0.0 ]; +%! +%! C = [ -1.0 0.0 +%! 0.0 1.0 ]; +%! +%! D = [ 1.0 0.0 +%! 0.0 -1.0 ]; +%! +%! [Ao, Bo, Co, Do] = ssdata (d2c (c2d (ss (A, B, C, D), 2, "zoh"), "zoh")); +%! +%! Mo = [Ao, Bo; Co, Do]; +%! Me = [A, B; C, D]; +%! +%!assert (Mo, Me, 1e-4); + + +## bilinear transformation with pre-warping +## both directions +%!shared Mo, Me +%! A = [ 1.0 0.5 +%! 0.5 1.0 ]; +%! +%! B = [ 0.0 -1.0 +%! 1.0 0.0 ]; +%! +%! C = [ -1.0 0.0 +%! 0.0 1.0 ]; +%! +%! D = [ 1.0 0.0 +%! 0.0 -1.0 ]; +%! +%! [Ao, Bo, Co, Do] = ssdata (d2c (c2d (ss (A, B, C, D), 2, "prewarp", 1000), "prewarp", 1000)); +%! +%! Mo = [Ao, Bo; Co, Do]; +%! Me = [A, B; C, D]; +%! +%!assert (Mo, Me, 1e-4);