Mercurial > hg > octave-nkf
view scripts/control/freqresp.m @ 3381:69b167451491
[project @ 1999-12-15 20:48:10 by jwe]
author | jwe |
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date | Wed, 15 Dec 1999 20:48:45 +0000 |
parents | 8dd4718801fd |
children | 10f21f7ccc7f |
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## Copyright (C) 1996,1998 Auburn University. All Rights Reserved ## ## 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{out} =} freqresp (@var{sys},@var{USEW}@{,@var{w}@}); ## Frequency response function - used internally by @code{bode}, @code{nyquist}. ## minimal argument checking; "do not attempt to do this at home" ## ## @strong{Inputs} ## @table @var ## @item sys ## system data structure ## @item USEW ## returned by @code{freqchkw} ## @item optional ## must be present if @var{USEW} is true (nonzero) ## @end table ## @strong{Outputs} ## @table @var ## @item @var{out} ## vector of finite @math{G(j*w)} entries (or @math{||G(j*w)||} for MIMO) ## @item w ## vector of corresponding frequencies ## @end table ## @end deftypefn function [ff,w] = freqresp(sys,USEW,w); ## Written by: R. Bruce Tenison July 11, 1994 ## SYS_INTERNAL accesses members of system data structure save_val = empty_list_elements_ok; empty_list_elements_ok = 1; ## Check Args if( (nargin < 2) || (nargin > 4) ) usage ("[ff,w] = freqresp(sys,USEW{,w})"); elseif( USEW & (nargin < 3) ) error("USEW=1 but w was not passed."); elseif( USEW & isempty(w)) warning("USEW=1 but w is empty; setting USEW=0"); USEW=0; endif DIGITAL = is_digital(sys); ## compute default w if needed if(!USEW) if(is_siso(sys)) sys = sysupdate(sys,"zp"); [zer,pol] = sys2zp(sys); else zer = tzero(sys); pol = eig(sys2ss(sys)); endif ## get default frequency range [wmin,wmax] = bode_bounds(zer,pol,DIGITAL,sysgettsam(sys)); w = logspace(wmin,wmax,50); else w = reshape(w,1,length(w)); # make sure it's a row vector endif ## now get complex values of s or z if(DIGITAL) jw = exp(i*w*sysgettsam(sys)); else jw = i*w; endif [nn,nz,mm,pp] = sysdimensions(sys); ## now compute the frequency response - divide by zero yields a warning if (strcmp(sysgettype(sys),"zp")) ## zero-pole form (preferred) [zer,pol,sysk] = sys2zp(sys); ff = ones(size(jw)); l1 = min(length(zer)*(1-isempty(zer)),length(pol)*(1-isempty(pol))); for ii=1:l1 ff = ff .* (jw - zer(ii)) ./ (jw - pol(ii)); endfor ## require proper transfer function, so now just get poles. for ii=(l1+1):length(pol) ff = ff ./ (jw - pol(ii)); endfor ff = ff*sysk; elseif (strcmp(sysgettype(sys),"tf")) ## transfer function form [num,den] = sys2tf(sys); ff = polyval(num,jw)./polyval(den,jw); elseif (mm==pp) ## The system is square; do state-space form bode plot [sysa,sysb,sysc,sysd,tsam,sysn,sysnz] = sys2ss(sys); n = sysn + sysnz; for ii=1:length(jw); ff(ii) = det(sysc*((jw(ii).*eye(n)-sysa)\sysb)+sysd); endfor; else ## Must be state space... bode [sysa,sysb,sysc,sysd,tsam,sysn,sysnz] = sys2ss(sys); n = sysn + sysnz; for ii=1:length(jw); ff(ii) = norm(sysc*((jw(ii)*eye(n)-sysa)\sysb)+sysd); endfor endif w = reshape(w,1,length(w)); ff = reshape(ff,1,length(ff)); ## restore global variable empty_list_elements_ok = save_val; endfunction