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- ## Copyright (C) 1997 Kai P. Mueller
- ##
- ## This file is part of Octave.
- ##
- ## Octave 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 2, or (at your option) any
- ## later version.
- ##
- ## Octave 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 Octave; see the file COPYING. If not, write to the Free
- ## Software Foundation, 59 Temple Place, Suite 330, Boston, MA 02111 USA.
-
- ## -*- texinfo -*-
- ## @deftypefn {Function File } { @var{outsys} =} ord2 (@var{nfreq}, @var{damp}@{[, @var{gain}@})
- ## Creates a continuous 2nd order system with parameters:
- ## @strong{Inputs}
- ## @table @var
- ## @item nfreq: natural frequency [Hz]. (not in rad/s)
- ## @item damp: damping coefficient
- ## @item gain: dc-gain
- ## This is steady state value only for damp > 0.
- ## gain is assumed to be 1.0 if ommitted.
- ## @end table
- ## @strong{Outputs}
- ## @var{outsys}
- ## system data structure has representation with @math{w = 2 * pi * nfreq}:
- ## @example
- ## / \
- ## | / -2w*damp -w \ / w \ |
- ## G = | | |, | |, [ 0 gain ], 0 |
- ## | \ w 0 / \ 0 / |
- ## \ /
- ## @end example
- ## @strong{See also} @code{jet707} (MIMO example, Boeing 707-321 aircraft model)
- ## @end deftypefn
-
- ## See also: jet707 (MIMO example, Boeing 707-321 aircraft model)
-
- function outsys = ord2 (nfreq, damp, gain)
-
- ## Written by Kai P. Mueller September 28, 1997
- ## Updates
-
- if(nargin != 2 & nargin != 3)
- usage("outsys = ord2(nfreq, damp[, gain])")
- endif
- if (nargout > 1)
- usage("outsys = ord2(nfreq, damp[, gain])")
- endif
- if (nargin == 2)
- gain = 1.0;
- endif
-
- w = 2.0 * pi * nfreq;
- outsys = ss2sys([-2.0*w*damp, -w; w, 0], [w; 0], [0, gain]);
- endfunction
-