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ord2.m
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1999-04-29
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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, 675 Mass Ave, Cambridge, MA 02139, USA.
function outsys = ord2(nfreq, damp, gain)
# function outsys = ord2(nfreq, damp[, gain])
# Creates a continuous 2nd order system with parameters:
#
# nfreq: natural frequency [Hz]. (not in rad/s)
# damp: damping coefficient
# gain: dc-gain
# This is steady state value only for damp > 0.
# gain is assumed to be 1.0 if ommitted.
#
# The system has representation with w = 2 * pi * nfreq:
#
# / \
# | / -2w*damp -w \ / w \ |
# G = | | |, | |, [ 0 gain ], 0 |
# | \ w 0 / \ 0 / |
# \ /
#
# See also: jet707 (MIMO example, Boeing 707-321 aircraft model)
# 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