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%2Fisminimumphase.m;fp=octave_packages%2Fcontrol-2.3.52%2F%40lti%2Fisminimumphase.m;h=059340ecbe894654318c886c8357221dd04dd048;hp=0000000000000000000000000000000000000000;hb=f5f7a74bd8a4900f0b797da6783be80e11a68d86;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/control-2.3.52/@lti/isminimumphase.m b/octave_packages/control-2.3.52/@lti/isminimumphase.m new file mode 100644 index 0000000..059340e --- /dev/null +++ b/octave_packages/control-2.3.52/@lti/isminimumphase.m @@ -0,0 +1,65 @@ +## 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{bool} =} isminimumphase (@var{sys}) +## @deftypefnx {Function File} {@var{bool} =} isminimumphase (@var{sys}, @var{tol}) +## Determine whether LTI system is minimum phase. +## The zeros must lie in the left complex half-plane. +## The name minimum-phase refers to the fact that such a system has the +## minimum possible phase lag for the given magnitude response |sys(jw)|. +## +## @strong{Inputs} +## @table @var +## @item sys +## LTI system. +## @item tol +## Optional tolerance. Default value is 0. +## @end table +## +## @strong{Outputs} +## @table @var +## @item bool = 0 +## System is not minimum phase. +## @item bool = 1 +## System is minimum phase. +## @end table +## +## @example +## @group +## real (z) < -tol*(1 + abs (z)) continuous-time +## abs (z) < 1 - tol discrete-time +## @end group +## @end example +## @end deftypefn + +## Author: Lukas Reichlin +## Created: January 2011 +## Version: 0.1 + +function bool = isminimumphase (sys, tol = 0) + + if (nargin > 2) + print_usage (); + endif + + z = zero (sys); + ct = isct (sys); + + bool = __is_stable__ (z, ct, tol); + +endfunction \ No newline at end of file